Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

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Author :
Publisher : CRC Press
ISBN 13 : 1439854858
Total Pages : 405 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations by : M.D.S. Aliyu

Download or read book Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations written by M.D.S. Aliyu and published by CRC Press. This book was released on 2017-12-19 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear H∞-control, nonlinear H∞ -filtering, mixed H2/ H∞-nonlinear control and filtering, nonlinear H∞-almost-disturbance-decoupling, and algorithms for solving the ubiquitous Hamilton-Jacobi-Isaacs equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly summarized in a single chapter. Recent progress in developing computational schemes for solving the Hamilton-Jacobi equation (HJE) has facilitated the application of Hamilton-Jacobi theory in both mechanics and control. As there is currently no efficient systematic analytical or numerical approach for solving them, the biggest bottle-neck to the practical application of the nonlinear equivalent of the H∞-control theory has been the difficulty in solving the Hamilton-Jacobi-Isaacs partial differential-equations (or inequalities). In light of this challenge, the author hopes to inspire continuing research and discussion on this topic via examples and simulations, as well as helpful notes and a rich bibliography. Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations was written for practicing professionals, educators, researchers and graduate students in electrical, computer, mechanical, aeronautical, chemical, instrumentation, industrial and systems engineering, as well as applied mathematics, economics and management.

Advances in Applied Nonlinear Optimal Control

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527562468
Total Pages : 741 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Advances in Applied Nonlinear Optimal Control by : Gerasimos Rigatos

Download or read book Advances in Applied Nonlinear Optimal Control written by Gerasimos Rigatos and published by Cambridge Scholars Publishing. This book was released on 2020-11-19 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses advances in applied nonlinear optimal control, comprising both theoretical analysis of the developed control methods and case studies about their use in robotics, mechatronics, electric power generation, power electronics, micro-electronics, biological systems, biomedical systems, financial systems and industrial production processes. The advantages of the nonlinear optimal control approaches which are developed here are that, by applying approximate linearization of the controlled systems’ state-space description, one can avoid the elaborated state variables transformations (diffeomorphisms) which are required by global linearization-based control methods. The book also applies the control input directly to the power unit of the controlled systems and not on an equivalent linearized description, thus avoiding the inverse transformations met in global linearization-based control methods and the potential appearance of singularity problems. The method adopted here also retains the known advantages of optimal control, that is, the best trade-off between accurate tracking of reference setpoints and moderate variations of the control inputs. The book’s findings on nonlinear optimal control are a substantial contribution to the areas of nonlinear control and complex dynamical systems, and will find use in several research and engineering disciplines and in practical applications.

Controlled Markov Processes and Viscosity Solutions

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Publisher : Springer Science & Business Media
ISBN 13 : 0387310711
Total Pages : 436 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Controlled Markov Processes and Viscosity Solutions by : Wendell H. Fleming

Download or read book Controlled Markov Processes and Viscosity Solutions written by Wendell H. Fleming and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.

Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817647554
Total Pages : 588 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations by : Martino Bardi

Download or read book Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations written by Martino Bardi and published by Springer Science & Business Media. This book was released on 2009-05-21 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton–Jacobi type and its interplay with Bellman’s dynamic programming approach to optimal control and differential games. It will be of interest to scientists involved in the theory of optimal control of deterministic linear and nonlinear systems. The work may be used by graduate students and researchers in control theory both as an introductory textbook and as an up-to-date reference book.

Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations

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Author :
Publisher : CRC Press
ISBN 13 : 1351833219
Total Pages : 407 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations by : M.D.S. Aliyu

Download or read book Nonlinear H-Infinity Control, Hamiltonian Systems and Hamilton-Jacobi Equations written by M.D.S. Aliyu and published by CRC Press. This book was released on 2017-12-19 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of nonlinear H∞ control theory for both continuous-time and discrete-time systems, Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations covers topics as diverse as singular nonlinear H∞-control, nonlinear H∞ -filtering, mixed H2/ H∞-nonlinear control and filtering, nonlinear H∞-almost-disturbance-decoupling, and algorithms for solving the ubiquitous Hamilton-Jacobi-Isaacs equations. The link between the subject and analytical mechanics as well as the theory of partial differential equations is also elegantly summarized in a single chapter. Recent progress in developing computational schemes for solving the Hamilton-Jacobi equation (HJE) has facilitated the application of Hamilton-Jacobi theory in both mechanics and control. As there is currently no efficient systematic analytical or numerical approach for solving them, the biggest bottle-neck to the practical application of the nonlinear equivalent of the H∞-control theory has been the difficulty in solving the Hamilton-Jacobi-Isaacs partial differential-equations (or inequalities). In light of this challenge, the author hopes to inspire continuing research and discussion on this topic via examples and simulations, as well as helpful notes and a rich bibliography. Nonlinear H∞-Control, Hamiltonian Systems and Hamilton-Jacobi Equations was written for practicing professionals, educators, researchers and graduate students in electrical, computer, mechanical, aeronautical, chemical, instrumentation, industrial and systems engineering, as well as applied mathematics, economics and management.

Dynamics, Bifurcations and Control

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Publisher : Springer
ISBN 13 : 3540456066
Total Pages : 300 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Dynamics, Bifurcations and Control by : Fritz Colonius

Download or read book Dynamics, Bifurcations and Control written by Fritz Colonius and published by Springer. This book was released on 2003-07-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume originates from the Third Nonlinear Control Workshop "- namics, Bifurcations and Control", held in Kloster Irsee, April 1-3 2001. As the preceding workshops held in Paris (2000) and in Ghent (1999), it was organized within the framework of Nonlinear Control Network funded by the European Union (http://www.supelec.fr/lss/NCN). The papers in this volume center around those control problems where phenomena and methods from dynamical systems theory play a dominant role. Despite the large variety of techniques and methods present in the c- tributions, a rough subdivision can be given into three areas: Bifurcation problems, stabilization and robustness, and global dynamics of control s- tems. A large part of the fascination in nonlinear control stems from the fact that is deeply rooted in engineering and mathematics alike. The contributions to this volume reflect this double nature of nonlinear control. We would like to take this opportunity to thank all the contributors and the referees for their careful work. Furthermore, it is our pleasure to thank Franchise Lamnabhi-Lagarrigue, the coordinator of our network, for her s- port in organizing the workshop and the proceedings and for the tremendous efforts she puts into this network bringing the cooperation between the d- ferent groups to a new level. In particular, the exchange and the active p- ticipation of young scientists, also reflected in the Pedagogical Schools within the Network, is an asset for the field of nonlinear control.

Mechanical Engineers' Handbook, Volume 2

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Publisher : John Wiley & Sons
ISBN 13 : 1118930800
Total Pages : 1008 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Mechanical Engineers' Handbook, Volume 2 by : Myer Kutz

Download or read book Mechanical Engineers' Handbook, Volume 2 written by Myer Kutz and published by John Wiley & Sons. This book was released on 2015-03-02 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: Full coverage of electronics, MEMS, and instrumentation and control in mechanical engineering This second volume of Mechanical Engineers' Handbook covers electronics, MEMS, and instrumentation and control, giving you accessible and in-depth access to the topics you'll encounter in the discipline: computer-aided design, product design for manufacturing and assembly, design optimization, total quality management in mechanical system design, reliability in the mechanical design process for sustainability, life-cycle design, design for remanufacturing processes, signal processing, data acquisition and display systems, and much more. The book provides a quick guide to specialized areas you may encounter in your work, giving you access to the basics of each and pointing you toward trusted resources for further reading, if needed. The accessible information inside offers discussions, examples, and analyses of the topics covered, rather than the straight data, formulas, and calculations you'll find in other handbooks. Presents the most comprehensive coverage of the entire discipline of Mechanical Engineering anywhere in four interrelated books Offers the option of being purchased as a four-book set or as single books Comes in a subscription format through the Wiley Online Library and in electronic and custom formats Engineers at all levels will find Mechanical Engineers' Handbook, Volume 2 an excellent resource they can turn to for the basics of electronics, MEMS, and instrumentation and control.

Adaptive Dynamic Programming for Control

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Publisher : Springer Science & Business Media
ISBN 13 : 144714757X
Total Pages : 432 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Adaptive Dynamic Programming for Control by : Huaguang Zhang

Download or read book Adaptive Dynamic Programming for Control written by Huaguang Zhang and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many methods of stable controller design for nonlinear systems. In seeking to go beyond the minimum requirement of stability, Adaptive Dynamic Programming in Discrete Time approaches the challenging topic of optimal control for nonlinear systems using the tools of adaptive dynamic programming (ADP). The range of systems treated is extensive; affine, switched, singularly perturbed and time-delay nonlinear systems are discussed as are the uses of neural networks and techniques of value and policy iteration. The text features three main aspects of ADP in which the methods proposed for stabilization and for tracking and games benefit from the incorporation of optimal control methods: • infinite-horizon control for which the difficulty of solving partial differential Hamilton–Jacobi–Bellman equations directly is overcome, and proof provided that the iterative value function updating sequence converges to the infimum of all the value functions obtained by admissible control law sequences; • finite-horizon control, implemented in discrete-time nonlinear systems showing the reader how to obtain suboptimal control solutions within a fixed number of control steps and with results more easily applied in real systems than those usually gained from infinite-horizon control; • nonlinear games for which a pair of mixed optimal policies are derived for solving games both when the saddle point does not exist, and, when it does, avoiding the existence conditions of the saddle point. Non-zero-sum games are studied in the context of a single network scheme in which policies are obtained guaranteeing system stability and minimizing the individual performance function yielding a Nash equilibrium. In order to make the coverage suitable for the student as well as for the expert reader, Adaptive Dynamic Programming in Discrete Time: • establishes the fundamental theory involved clearly with each chapter devoted to a clearly identifiable control paradigm; • demonstrates convergence proofs of the ADP algorithms to deepen understanding of the derivation of stability and convergence with the iterative computational methods used; and • shows how ADP methods can be put to use both in simulation and in real applications. This text will be of considerable interest to researchers interested in optimal control and its applications in operations research, applied mathematics computational intelligence and engineering. Graduate students working in control and operations research will also find the ideas presented here to be a source of powerful methods for furthering their study.

Nonlinear H2/H-Infinity Constrained Feedback Control

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Publisher : Springer Science & Business Media
ISBN 13 : 1846283507
Total Pages : 218 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Nonlinear H2/H-Infinity Constrained Feedback Control by : Murad Abu-Khalaf

Download or read book Nonlinear H2/H-Infinity Constrained Feedback Control written by Murad Abu-Khalaf and published by Springer Science & Business Media. This book was released on 2006-08-02 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides techniques to produce robust, stable and useable solutions to problems of H-infinity and H2 control in high-performance, non-linear systems for the first time. The book is of importance to control designers working in a variety of industrial systems. Case studies are given and the design of nonlinear control systems of the same caliber as those obtained in recent years using linear optimal and bounded-norm designs is explained.

Intelligent Control for Electric Power Systems and Electric Vehicles

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Publisher : CRC Press
ISBN 13 : 104013467X
Total Pages : 589 pages
Book Rating : 4.0/5 (41 download)

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Book Synopsis Intelligent Control for Electric Power Systems and Electric Vehicles by : G. Rigatos

Download or read book Intelligent Control for Electric Power Systems and Electric Vehicles written by G. Rigatos and published by CRC Press. This book was released on 2024-10-30 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph offers a detailed and in-depth analysis of the topic of Intelligent Control for Electric Power Systems and Electric Vehicles. First, Nonlinear optimal control and Lie algebra-based control (Control based on approximate linearization and Global linearization-based control concepts) is analyzed. Next, Differential flatness theory and flatness-based control methods (Global linearization-based control with the use of differential flatness theory and Flatness-based control of nonlinear dynamical systems in cascading loops) is treated. Following the control theoretic part Control of DC and PMBLDC electric motors (Control of DC motors through a DC-DC converter and Control of Per- manent Magnet Brushless DC motors) is presented. Besides, Control of VSI-fed three-phase and multi- phase PMSMs (Nonlinear optimal control VSI-fed three-phase PMSMs and Nonlinear optimal control VSI-fed six-phase PMSMs) is explained. Additionally, Control of energy conversion chains based on PMSMs (Control of wind-turbine and PMSM-based electric power unit and Control of a PMSM-driven gas-compression unit) is studied. Besides, Control of energy conversion chains based on Induction Ma- chines (Control of the VSI-fed three-phase induction motor, Control of an induction motor-driven gas compressor and Control of induction generator-based shipboard microgrids) is explained. Next, Control of multi-phase machines in gas processing and power units (Control of gas-compressors actuated by 5-phase PMSMs and Control of 6-phase induction generators in renewable energy units) is introduced, Moreover, Control of Spherical Permanent Magnet Synchronous Motors and Switched Reluctance Mo- tors (Control of spherical permanent magnet synchronous motors, Control of switched reluctance motors for electric traction and Adaptive control for switched reluctance motors) is analyzed, Furthermore, Control of traction and powertrains in Electric Vehicles and Hybrid Electric Vehicles (Control of multi- phase motors in the traction system in electric vehicles and Control of synchronous machines and converters in power-chains of hybrid electric vehicles) is explained, Finally, Control of renewable power units and heat management units (Control of residential microgrids with Wind Generators, Fuel Cells and PVs and Control of heat pumps for thermal management in electric vehicles) it treated. The new control methods which are proposed by the monograph treat the control problem of the complex nonlinear dynamics of electric power systems and electric vehicles without the need for complicated state-space model transformations and changes of state variables. The proposed control schemes are modular and scalable and can be applied to a large class of dynamic models of electric power systems and electric vehicles. They have a clear and easy-to- implement algorithmic part, while they also exhibit a moderate computational load. The proposed control schemes foster the optimized exploitation of renewable energy sources and the reliable integration of renewable energy units in the power grid. Besides, they support the transition to electromotion and the deployment of the use of electric vehicles. The manuscript is suitable for teaching nonlinear control, estimation and fault diagnosis topics with emphasis to electric power systems and to electric vehicle traction and propulsion systems both at late undergraduate and postgraduate levels.

Advances in Robust Control and Applications

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Publisher : Springer Nature
ISBN 13 : 981993463X
Total Pages : 381 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Advances in Robust Control and Applications by : Nabil Derbel

Download or read book Advances in Robust Control and Applications written by Nabil Derbel and published by Springer Nature. This book was released on 2023-09-12 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents recent applications and developments in the field of control of industrial systems, covering a wide range of modeling and feedback control using various robust approaches such as fuzzy systems, sliding mode control, and H-infinity. This book provides insights into theory, applications, and perspectives relevant to the field of robotic systems, exoskeletons, power systems, photovoltaic systems, etc., as well as general methodologies and paradigms around them. Each chapter provides an enriched understanding of a research topic along with a balanced treatment of the relevant theories, methods, or applications. It reports on the latest advances in the field. This book is a good reference for graduate students, researchers, educators, engineers, and scientists and contains a total of 15 chapters divided into five parts as follows. The first part of this book focuses on the application of fuzzy control to robotic systems and consists of three chapters. The second part of this book proposes the control of lower and upper limb exoskeletons and includes two chapters. The third part is dedicated to the control of power systems and comprises three chapters. The fourth part deals with various approaches to the modeling and control of industrial processes and comprises four chapters. The fifth and final part describes observers and fault-tolerant control systems and comprises five chapters.

Extending H-infinity Control to Nonlinear Systems

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Publisher : SIAM
ISBN 13 : 0898714400
Total Pages : 340 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Extending H-infinity Control to Nonlinear Systems by : J. William Helton

Download or read book Extending H-infinity Control to Nonlinear Systems written by J. William Helton and published by SIAM. This book was released on 1999-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: H-infinity control made considerable strides toward systematizing classical control. This bookaddresses how this extends to nonlinear systems.

H(infinity)-Optimal Control and Related ...

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Publisher : Springer Science & Business Media
ISBN 13 : 1489935614
Total Pages : 238 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis H(infinity)-Optimal Control and Related ... by : Basar

Download or read book H(infinity)-Optimal Control and Related ... written by Basar and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major concentrated activities of the past decade in control theory has been the development of the so-called "HOO-optimal control theory," which addresses the issue of worst-case controller design for linear plants subject to unknown additive disturbances, including problems of disturbance attenuation, model matching, and tracking. The mathematical OO symbol "H " stands for the Hardy space of all complex-valued functions of a complex variable, which are analytic and bounded in the open right half complex plane. For a linear (continuous-time, time-invariant) plant, oo the H norm of the transfer matrix is the maximum of its largest singular value over all frequencies. OO Controller design problems where the H norm plays an important role were initially formulated by George Zames in the early 1980's, in the context of sensitivity reduction in linear plants, with the design problem posed as a mathematical optimization problem using an (HOO) operator norm. Thus formulated originally in the frequency domain, the main tools used during the early phases of research on this class of problems have been operator and approximation theory, spectral factorization, and (Youla) parametrization, leading initially to rather complicated (high-dimensional) OO optimal or near-optimal (under the H norm) controllers.

H-Infinity Optimal Control and Related Minimax Design Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817647562
Total Pages : 418 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis H-Infinity Optimal Control and Related Minimax Design Problems by : Tamer Başar

Download or read book H-Infinity Optimal Control and Related Minimax Design Problems written by Tamer Başar and published by Springer Science & Business Media. This book was released on 2008-01-21 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. Based mostly on recent work by the authors, the book is written on a good mathematical level. Many results in it are original.

Optimal Control

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Publisher : John Wiley & Sons
ISBN 13 : 0470633492
Total Pages : 552 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Optimal Control by : Frank L. Lewis

Download or read book Optimal Control written by Frank L. Lewis and published by John Wiley & Sons. This book was released on 2012-02-01 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include: Static Optimization Optimal Control of Discrete-Time Systems Optimal Control of Continuous-Time Systems The Tracking Problem and Other LQR Extensions Final-Time-Free and Constrained Input Control Dynamic Programming Optimal Control for Polynomial Systems Output Feedback and Structured Control Robustness and Multivariable Frequency-Domain Techniques Differential Games Reinforcement Learning and Optimal Adaptive Control

Progress in Intelligent Decision Science

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Publisher : Springer Nature
ISBN 13 : 3030665011
Total Pages : 992 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Progress in Intelligent Decision Science by : Tofigh Allahviranloo

Download or read book Progress in Intelligent Decision Science written by Tofigh Allahviranloo and published by Springer Nature. This book was released on 2021-01-29 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the topics of artificial intelligence and deep learning that do have much application in real-life problems. The concept of uncertainty has long been used in applied science, especially decision making and a logical decision must be made in the field of uncertainty or in the real-life environment that is formed and combined with vague concepts and data. The chapters of this book are connected to the new concepts and aspects of decision making with uncertainty. Besides, other chapters are involved with the concept of data mining and decision making under uncertain computations.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 1556 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1556 pages. Available in PDF, EPUB and Kindle. Book excerpt: