Optimal Control of Switched Systems with Application to Networked Embedded Control Systems

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832530967
Total Pages : 204 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Optimal Control of Switched Systems with Application to Networked Embedded Control Systems by : Daniel Görges

Download or read book Optimal Control of Switched Systems with Application to Networked Embedded Control Systems written by Daniel Görges and published by Logos Verlag Berlin GmbH. This book was released on 2012 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis addresses optimal control of discrete-time switched linear systems with application to networked embedded control systems (NECSs). Part I focuses on optimal control and scheduling of discrete-time switched linear systems. The objective is to simultaneously design a control law and a switching (scheduling) law such that a cost function is minimized. This optimization problem exhibits exponential complexity. Taming the complexity is a major challenge. Two novel methods are presented to approach this optimization problem: Receding-horizon control and scheduling relies on the receding horizon principle. The optimization problem is solved based on relaxed dynamic programming, allowing to reduce complexity by relaxing optimality within predefined bounds. The solution can be expressed as a piecewise linear (PWL) state feedback control law. Stability is addressed via an a priori stability condition based on a terminal weighting matrix and several a posteriori stability criteria based on constructing piecewise quadratic Lyapunov functions and on utilizing the cost function as a candidate Lyapunov function. Moreover, a region-reachability criterion is derived. Periodic control and scheduling relies on periodic control theory. Both offline and online scheduling are studied. The optimization problem is solved based on periodic control and exhaustive search. The online scheduling solution can again be expressed as a PWL state feedback control law. Stability is guaranteed inherently. Several methods are proposed to reduce the online complexity based on relaxation and heuristics. Part II focuses on optimal control and scheduling of NECSs. The NECS is modeled as a block-diagonal discrete-time switched linear system. Various control and scheduling codesign strategies are derived based on the methods from Part I regarding the structural properties of NECSs. The methods presented in Part I and II are finally evaluated in a case study.

Optimal Design of Distributed Control and Embedded Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3319027298
Total Pages : 288 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Optimal Design of Distributed Control and Embedded Systems by : Arben Çela

Download or read book Optimal Design of Distributed Control and Embedded Systems written by Arben Çela and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Design of Distributed Control and Embedded Systems focuses on the design of special control and scheduling algorithms based on system structural properties as well as on analysis of the influence of induced time-delay on systems performances. It treats the optimal design of distributed and embedded control systems (DCESs) with respect to communication and calculation-resource constraints, quantization aspects, and potential time-delays induced by the associated communication and calculation model. Particular emphasis is put on optimal control signal scheduling based on the system state. In order to render this complex optimization problem feasible in real time, a time decomposition is based on periodicity induced by the static scheduling is operated. The authors present a co-design approach which subsumes the synthesis of the optimal control laws and the generation of an optimal schedule of control signals on real-time networks as well as the execution of control tasks on a single processor. The authors also operate a control structure modification or a control switching based on a thorough analysis of the influence of the induced time-delay system influence on stability and system performance in order to optimize DCES performance in case of calculation and communication resource limitations. Although the richness and variety of classes of DCES preclude a completely comprehensive treatment or a single “best” method of approaching them all, this co-design approach has the best chance of rendering this problem feasible and finding the optimal or some sub-optimal solution. The text is rounded out with references to such applications as car suspension and unmanned vehicles. Optimal Design of Distributed Control and Embedded Systems will be of most interest to academic researchers working on the mathematical theory of DCES but the wide range of environments in which they are used also promotes the relevance of the text for control practitioners working in the avionics, automotive, energy-production, space exploration and many other industries.

Investigation on Robust Codesign Methods for Networked Control Systems

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832541705
Total Pages : 180 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Investigation on Robust Codesign Methods for Networked Control Systems by : Sanad Al-Areqi

Download or read book Investigation on Robust Codesign Methods for Networked Control Systems written by Sanad Al-Areqi and published by Logos Verlag Berlin GmbH. This book was released on 2015-12-31 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of jointly designing a robust controller and an intelligent scheduler for networked control systems (NCSs) is addressed in this thesis. NCSs composing of multiple plants that share a single channel communication network with uncertain time-varying transmission times are modeled as switched polytopic systems with additive norm-bounded uncertainty. Switching is deployed to represent scheduling, the polytopic uncertainty to overapproximatively describe the uncertain time-varying transmission times. Based on the resulting NCS model and a state feedback control law, the control and scheduling codesign problem is then introduced and formulated as a robust (minimax) optimization problem with the objective of minimizing the worst-case value of an associated infinite time-horizon quadratic cost function. Five robust codesign strategies are investigated for tackling the introduced optimization problem, namely: Periodic control and scheduling (PCS), Receding-horizon control and scheduling (RHCS), Implementation-aware control and scheduling (IACS), Event-based control and scheduling (EBCS), Prediction-based control and scheduling (PBCS). All these codesign strategies are determined from LMI optimization problems based on the Lyapunov theory. The properties of each are evaluated and compared in terms of computational complexity and control performance based on simulation and experimental study, showing their effectiveness in improving the performance while utilizing the limited communication resources very efficiently.

Handbook of Networked and Embedded Control Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644040
Total Pages : 808 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Handbook of Networked and Embedded Control Systems by : Dimitrios Hristu-Varsakelis

Download or read book Handbook of Networked and Embedded Control Systems written by Dimitrios Hristu-Varsakelis and published by Springer Science & Business Media. This book was released on 2007-11-14 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: The vast majority of control systems built today are embedded; that is, they rely on built-in, special-purpose digital computers to close their feedback loops. Embedded systems are common in aircraft, factories, chemical processing plants, and even in cars–a single high-end automobile may contain over eighty different computers. The design of embedded controllers and of the intricate, automated communication networks that support them raises many new questions—practical, as well as theoretical—about network protocols, compatibility of operating systems, and ways to maximize the effectiveness of the embedded hardware. This handbook, the first of its kind, provides engineers, computer scientists, mathematicians, and students a broad, comprehensive source of information and technology to address many questions and aspects of embedded and networked control. Separated into six main sections—Fundamentals, Hardware, Software, Theory, Networking, and Applications—this work unifies into a single reference many scattered articles, websites, and specification sheets. Also included are case studies, experiments, and examples that give a multifaceted view of the subject, encompassing computation and communication considerations.

A Hybrid Physical and Data-drivApproach to Motion Prediction and Control in Human-Robot Collaboration

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 383255484X
Total Pages : 212 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis A Hybrid Physical and Data-drivApproach to Motion Prediction and Control in Human-Robot Collaboration by : Min Wu

Download or read book A Hybrid Physical and Data-drivApproach to Motion Prediction and Control in Human-Robot Collaboration written by Min Wu and published by Logos Verlag Berlin GmbH. This book was released on 2022-06-14 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, researchers have achieved great success in guaranteeing safety in human-robot interaction, yielding a new generation of robots that can work with humans in close proximity, known as collaborative robots (cobots). However, due to the lack of ability to understand and coordinate with their human partners, the ``co'' in most cobots still refers to ``coexistence'' rather than ``collaboration''. This thesis aims to develop an adaptive learning and control framework with a novel physical and data-driven approach towards a real collaborative robot. The first part focuses on online human motion prediction. A comprehensive study on various motion prediction techniques is presented, including their scope of application, accuracy in different time scales, and implementation complexity. Based on this study, a hybrid approach that combines physically well-understood models with data-driven learning techniques is proposed and validated through a motion data set. The second part addresses interaction control in human-robot collaboration. An adaptive impedance control scheme with human reference estimation is presented. Reinforcement learning is used to find optimal control parameters to minimize a task-orient cost function without fully knowing the system dynamic. The proposed framework is experimentally validated through two benchmark applications for human-robot collaboration: object handover and cooperative object handling. Results show that the robot can provide reliable online human motion prediction, react early to human motion variation, make proactive contributions to physical collaborations, and behave compliantly in response to human forces.

Optimal Networked Control Systems with MATLAB

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Publisher : CRC Press
ISBN 13 : 1482235269
Total Pages : 335 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Optimal Networked Control Systems with MATLAB by : Jagannathan Sarangapani

Download or read book Optimal Networked Control Systems with MATLAB written by Jagannathan Sarangapani and published by CRC Press. This book was released on 2018-09-03 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Networked Control Systems with MATLAB® discusses optimal controller design in discrete time for networked control systems (NCS). The authors apply several powerful modern control techniques in discrete time to the design of intelligent controllers for such NCS. Detailed derivations, rigorous stability proofs, computer simulation examples, and downloadable MATLAB® codes are included for each case. The book begins by providing background on NCS, networked imperfections, dynamical systems, stability theory, and stochastic optimal adaptive controllers in discrete time for linear and nonlinear systems. It lays the foundation for reinforcement learning-based optimal adaptive controller use for finite and infinite horizons. The text then: Introduces quantization effects for linear and nonlinear NCS, describing the design of stochastic adaptive controllers for a class of linear and nonlinear systems Presents two-player zero-sum game-theoretic formulation for linear systems in input–output form enclosed by a communication network Addresses the stochastic optimal control of nonlinear NCS by using neuro dynamic programming Explores stochastic optimal design for nonlinear two-player zero-sum games under communication constraints Treats an event-sampled distributed NCS to minimize transmission of state and control signals within the feedback loop via the communication network Covers distributed joint optimal network scheduling and control design for wireless NCS, as well as the effect of network protocols on the wireless NCS controller design An ideal reference for graduate students, university researchers, and practicing engineers, Optimal Networked Control Systems with MATLAB® instills a solid understanding of neural network controllers and how to build them.

Hybrid Systems: Computation and Control

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Publisher : Springer
ISBN 13 : 3642006027
Total Pages : 503 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Hybrid Systems: Computation and Control by : Rupak Majumdar

Download or read book Hybrid Systems: Computation and Control written by Rupak Majumdar and published by Springer. This book was released on 2009-04-30 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Hybrid Systems: Computation and Control, HSCC 2009, held in San Francisco, CA, USA, in April 2009. The 30 revised full papers and 10 revised short papers presented were carefully reviewed and selected from numerous submissions for inclusion in the book. The papers focus on research in embedded reactive systems involving the interplay between symbolic/discrete and continuous dynamical behaviors and feature the latest developments of applications and theoretical advancements in the analysis, design, control, optimization, and implementation of hybrid systems.

Modelling and Control of an Autonomous Two-Wheeled Vehicle

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832552057
Total Pages : 175 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Modelling and Control of an Autonomous Two-Wheeled Vehicle by : Alen Turnwald

Download or read book Modelling and Control of an Autonomous Two-Wheeled Vehicle written by Alen Turnwald and published by Logos Verlag Berlin GmbH. This book was released on 2020-11-13 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: With respect to the future urban mobility, modern electrical bicycles, advanced motorcycles and innovative two-wheeled vehicles are arresting enormous amount of attention. Especially, model-based control and optimal trajectory planning for such vehicles are important to the research and development of the future. Therefore, a reliable and yet usable vehicle model as well as a systematic approach to motion control for two-wheeled vehicles are essential, to which this work makes a contribution. Currently available two-wheeled vehicle models are mostly either too complex to be used for a systematic control synthesis, or too simple such that the physical behaviour of the vehicle is no more represented. In this thesis, a unifying approach to modelling and control for autonomous two-wheeled vehicles is presented. The resulting model is generally valid and physically detailed enough to represent the characteristic dynamical behaviour such as the self-stability. At the same time, it is suited to a systematic control synthesis. Furthermore, the systematic extenddability, for instance by a rider, is demonstrated. The model is validated by simulations and by comparison to well-known models from the literature. The proposed vehicle model is derived in the Lagrangian and Hamiltonian framework and used for model-based optimal trajectory planning. Furthermore, a passivity-based trajectory tracking controller is designed based on the resulting port-Hamiltonian system using the so-called generalised canonical transformations. Such a controller is physically interpretable and robust against parameter uncertainties. To this end, existing approaches of passivity-based controller design are extended and adjusted for two-wheeled vehicles. Finally, a prototype two-wheeled vehicle is introduced which is used for experimental validation of the model and to demonstrate motion control algorithms for autonomous two-wheeled vehicles.

Ultra-wideband Based Indoor Localization Using Sensor Fusion and Support Vector Machine

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Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832552294
Total Pages : 152 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Ultra-wideband Based Indoor Localization Using Sensor Fusion and Support Vector Machine by : Zhuoqi Zeng

Download or read book Ultra-wideband Based Indoor Localization Using Sensor Fusion and Support Vector Machine written by Zhuoqi Zeng and published by Logos Verlag Berlin GmbH. This book was released on 2020-12-21 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: To further improve the NLOS detection and mitigation performance for Ultra-wideband (UWB) system, this thesis systematically investigates the UWB LOS/NLOS errors. The LOS errors are evaluated in different environments and with different distances. Different blockage materials and blockage conditions are considered for NLOS errors. The UWB signal propagation is also investigated. Furthermore, the relationships between the CIRs and the accurate/inaccurate range measurements are theoretically discussed in three different situations: ideal LOS path, small-scale fading: multipath and NLOS path. These theoretical relationships are validated with real measured CIRs in the Bosch Shanghai office environment. Based on the error and signal propagation investigation results, four different algorithms are proposed for four different scenarios to improve the NLOS identification accuracy. After the comparison of the localization performance for TOA/TDOA, it is found that on normal office floor, TOA works better than TDOA. In harsh industrial environments, where NLOS frequently occurs, TDOA is more suitable than TOA. Thus, in the first scenario, the position estimation is realized with TOA on the office floor, while in the second scenario, a novel approach to combined TOA and TDOA with accurate range and range difference selection is proposed in the harsh industrial environment. The optimization of the feature combination and parameters in machine learning algorithms for accurate measurement detection is discussed for both scenarios. For the third and fourth scenarios, the UWB/IMU fusion system stays in focus. Instead of detecting the NLOS outliers by assuming that the error distributions are Gaussian, the accurate measurement detection is realized based on the triangle inequality theorem. All the proposed approaches are tested with the collected measurements from the developed UWB system. The position estimation of these approaches has better accuracy than that of the traditional methods.

New Perspectives and Applications of Modern Control Theory

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Publisher : Springer
ISBN 13 : 3319624644
Total Pages : 538 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis New Perspectives and Applications of Modern Control Theory by : Julio B. Clempner

Download or read book New Perspectives and Applications of Modern Control Theory written by Julio B. Clempner and published by Springer. This book was released on 2017-09-30 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited monograph contains research contributions on a wide range of topics such as stochastic control systems, adaptive control, sliding mode control and parameter identification methods. The book also covers applications of robust and adaptice control to chemical and biotechnological systems. This collection of papers commemorates the 70th birthday of Dr. Alexander S. Poznyak.

Networked Control Systems with Intermittent Feedback

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Publisher : CRC Press
ISBN 13 : 1315350904
Total Pages : 218 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Networked Control Systems with Intermittent Feedback by : Domagoj Tolić

Download or read book Networked Control Systems with Intermittent Feedback written by Domagoj Tolić and published by CRC Press. This book was released on 2017-03-31 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Networked Control Systems (NCSs) are spatially distributed systems for which the communication between sensors, actuators and controllers is realized by a shared (wired or wireless) communication network. NCSs offer several advantages, such as reduced installation and maintenance costs, as well as greater flexibility, over conventional control systems in which parts of control loops exchange information via dedicated point-to-point connections. The principal goal of this book is to present a coherent and versatile framework applicable to various settings investigated by the authors over the last several years. This framework is applicable to nonlinear time-varying dynamic plants and controllers with delayed dynamics; a large class of static, dynamic, probabilistic and priority-oriented scheduling protocols; delayed, noisy, lossy and intermittent information exchange; decentralized control problems of heterogeneous agents with time-varying directed (not necessarily balanced) communication topologies; state- and output-feedback; off-line and on-line intermittent feedback; optimal intermittent feedback through Approximate Dynamic Programming (ADP) and Reinforcement Learning (RL); and control systems with exogenous disturbances and modeling uncertainties.

Switched Linear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1846281318
Total Pages : 303 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Switched Linear Systems by : Zhendong Sun

Download or read book Switched Linear Systems written by Zhendong Sun and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

Secure Control of Networked Control Systems and Its Applications

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Publisher : Springer Nature
ISBN 13 : 981336730X
Total Pages : 272 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Secure Control of Networked Control Systems and Its Applications by : Dong Yue

Download or read book Secure Control of Networked Control Systems and Its Applications written by Dong Yue and published by Springer Nature. This book was released on 2021-02-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows some secure control methods of networked control systems related to linear control system, nonlinear control system, multi-agent system and its applications in power systems. The proposed secure control methods provide some useful results about modeling of network attacks, resilient analysis and synthesis methods, active defense control method.The contents of this book are lists as followings. (1) Modeling of DoS attacks, deception attacks and replay attacks; (2)Secure control methods are proposed by combing delay system method, switched system method and event-based control method. (3) Active control methods are proposed by using model-predictive control and redundant control. (4) The proposed control methods are applied to the security problem of power system.The methods of this book include DoS attacks modeling such as, periodic jamming attack model,model-based average dwell time model, deception attack modeling and relay attack modeling; piece-wise Lyapunov-Krasoviskiifunctional method, stochastic control method; the results including resilient conditions of networked control system and related resilient control design method with linear matrix inequalities(LMIs).From this book, readers can learn about the general network attack modeling methods, resilient analysis and synthesis methods, active control methods from viewpoint of redundancy control, and secure conditions of power systems.Some fundamental knowledge prepared to read this book includes delay system theory, event triggered mechanism, T-S fuzzy system theory and frequency/voltage control of power system.

Complex Systems: Spanning Control and Computational Cybernetics: Applications

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Publisher : Springer Nature
ISBN 13 : 3031009789
Total Pages : 551 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Complex Systems: Spanning Control and Computational Cybernetics: Applications by : Peng Shi

Download or read book Complex Systems: Spanning Control and Computational Cybernetics: Applications written by Peng Shi and published by Springer Nature. This book was released on 2022-09-18 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, dedicated to Professor Georgi M. Dimirovski on his anniversary, contains new research directions, challenges, and many relevant applications related to many aspects within the broadly perceived areas of systems and control, including signal analysis and intelligent systems. The project comprises two volumes with papers written by well known and very active researchers and practitioners. The first volume is focused on more foundational aspects related to general issues in systems science and mathematical systems, various problems in control and automation, and the use of computational and artificial intelligence in the context of systems modeling and control. The second volume is concerned with a presentation of relevant applications, notably in robotics, computer networks, telecommunication, fault detection/diagnosis, as well as in biology and medicine, and economic, financial, and social systems too.

Handbook of Hybrid Systems Control

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Publisher : Cambridge University Press
ISBN 13 : 0521765056
Total Pages : 583 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Handbook of Hybrid Systems Control by : Jan Lunze

Download or read book Handbook of Hybrid Systems Control written by Jan Lunze and published by Cambridge University Press. This book was released on 2009-10-15 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out core theory and reviews new methods and applications to show how hybrid systems can be modelled and understood.

Control Strategies and Co-Design of Networked Control Systems

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Publisher : Springer
ISBN 13 : 3319970445
Total Pages : 178 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Control Strategies and Co-Design of Networked Control Systems by : Héctor Benítez-Pérez

Download or read book Control Strategies and Co-Design of Networked Control Systems written by Héctor Benítez-Pérez and published by Springer. This book was released on 2018-07-31 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents Networked Control System (NCS) as a particular kind of a real-time distributed system (RTDS), composed of a set of nodes, interconnected by a network, and able to develop a complete control process. It describes important parts of the control process such as sensor and actuator activities, which rely on a real-time operating system, and a real-time communication network. As the use of common bus network architecture introduces different forms of uncertainties between sensors, actuators, and controllers, several approaches such as reconfigurable systems have been developed to tackle this problem. Moreover, modeling NCS is a challenging procedure, since there are several non-linear situations, like local saturations, uncertain time delays, dead-zones, or local situations, it is necessary to deal with. The book describes a novel strategy for modelling and control based on a fuzzy control approach and codesign strategies.

Networked Control Systems

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Publisher : Springer
ISBN 13 : 0857290339
Total Pages : 373 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Networked Control Systems by : Alberto Bemporad

Download or read book Networked Control Systems written by Alberto Bemporad and published by Springer. This book was released on 2010-10-15 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book nds its origin in the WIDE PhD School on Networked Control Systems, which we organized in July 2009 in Siena, Italy. Having gathered experts on all the aspects of networked control systems, it was a small step to go from the summer school to the book, certainly given the enthusiasm of the lecturers at the school. We felt that a book collecting overviewson the important developmentsand open pr- lems in the eld of networked control systems could stimulate and support future research in this appealing area. Given the tremendouscurrentinterests in distributed control exploiting wired and wireless communication networks, the time seemed to be right for the book that lies now in front of you. The goal of the book is to set out the core techniques and tools that are ava- able for the modeling, analysis and design of networked control systems. Roughly speaking, the book consists of three parts. The rst part presents architectures for distributed control systems and models of wired and wireless communication n- works. In particular, in the rst chapter important technological and architectural aspects on distributed control systems are discussed. The second chapter provides insight in the behavior of communication channels in terms of delays, packet loss and information constraints leading to suitable modeling paradigms for commu- cation networks.