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Hankel Norm Approximation For Infinite Dimensional Systems
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Book Synopsis Hankel Norm Approximation for Infinite-Dimensional Systems by : A. Sasane
Download or read book Hankel Norm Approximation for Infinite-Dimensional Systems written by A. Sasane and published by Springer Science & Business Media. This book was released on 2002-05-14 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model reduction is an important engineering problem in which one aims to replace an elaborate model by a simpler model without undue loss of accuracy. The accuracy can be mathematically measured in several possible norms and the Hankel norm is one such. The Hankel norm gives a meaningful notion of distance between two linear systems: roughly speaking, it is the induced norm of the operator that maps past inputs to future outputs. It turns out that the engineering problem of model reduction in the Hankel norm is closely related to the mathematical problem of finding solutions to the sub-optimal Nehari-Takagi problem, which is called "the sub-optimal Hankel norm approximation problem" in this book. Although the existence of a solution to the sub-optimal Hankel norm approximation problem has been known since the 1970's, this book presents explicit solutions and, in particular, new formulae for several large classes of infinite-dimensional systems for the first time.
Book Synopsis Strongly Stabilizable Distributed Parameter Systems by : Job Oostveen
Download or read book Strongly Stabilizable Distributed Parameter Systems written by Job Oostveen and published by SIAM. This book was released on 2000-01-01 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions about stability arise in almost every control problem. There are many physical problems in which exponential stability is too strong and for which the concept of strong stability is appropriate. This book provides a solid mathematical framework for a structured approach to strongly stabilizable systems through integration of fundamental theory, physical applications, and numerical results. The author includes a mathematical framework for studying PDE models of large flexible structures, an important class of applications.
Book Synopsis Modelling, Robustness and Sensitivity Reduction in Control Systems by : Ruth F. Curtain
Download or read book Modelling, Robustness and Sensitivity Reduction in Control Systems written by Ruth F. Curtain and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, one of the basic issues in control systems design has been robustness: the ability of a controlled plant to withstand variations in or lack of knowledge of its dynamics. Even if the dynamics of a system are accurately known for purposes of implementation, it is often desirable to design a control system based on a simplified model. Consequently it is essential to be able to guarantee a reasonable performance not only for the nominal plant, but also for its neighbouring perturbations: this is the issue of robustness. Since the beginning of this decade major advances have been made in this area, notably using the H -approach; this term is meant to cover the solution of sensitivity reduction, approximation and model reduction, robustness and related control design problems using the mathematics of Hardy spaces and related areas in Harmonic Analysis. This book contains the proceedings of the NATO Advanced Research Workshop on "Modelling, Robustness and Sensitivity Reduction in Control Systems", which was held at the University of Groningen, December 1986. Its aim was to explore the development of H -design techniques and its ramifications in Systems Theory in a unified and systematic way with the emphasis on recent advances and future directions in this fast developing area. In particular the following inter-related aspects were addressed: H -mathematical foundations, model approximation and robustness in control design, optimal sensitivity reduction, modelling and system identification and signal processing.
Book Synopsis Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws by : Krzysztof Bartecki
Download or read book Modeling and Analysis of Linear Hyperbolic Systems of Balance Laws written by Krzysztof Bartecki and published by Springer. This book was released on 2015-12-21 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses on the mathematical modeling of distributed parameter systems in which mass/energy transport or wave propagation phenomena occur and which are described by partial differential equations of hyperbolic type. The case of linear (or linearized) 2 x 2 hyperbolic systems of balance laws is considered, i.e., systems described by two coupled linear partial differential equations with two variables representing physical quantities, depending on both time and one-dimensional spatial variable. Based on practical examples of a double-pipe heat exchanger and a transportation pipeline, two typical configurations of boundary input signals are analyzed: collocated, wherein both signals affect the system at the same spatial point, and anti-collocated, in which the input signals are applied to the two different end points of the system. The results of this book emerge from the practical experience of the author gained during his studies conducted in the experimental installation of a heat exchange center as well as from his research experience in the field of mathematical and computer modeling of dynamic systems. The book presents valuable results concerning their state-space, transfer function and time-domain representations, which can be useful both for the open-loop analysis as well as for the closed-loop design. The book is primarily intended to help professionals as well as undergraduate and postgraduate students involved in modeling and automatic control of dynamic systems.
Book Synopsis Approximation of Large-Scale Dynamical Systems by : Athanasios C. Antoulas
Download or read book Approximation of Large-Scale Dynamical Systems written by Athanasios C. Antoulas and published by SIAM. This book was released on 2009-06-25 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.
Book Synopsis Control and Estimation in Distributed Parameter Systems by : H. T. Banks
Download or read book Control and Estimation in Distributed Parameter Systems written by H. T. Banks and published by SIAM. This book was released on 1992-01-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in control and estimation of distributed parameter systems encompasses a wide range of applications including both fundamental science and emerging technologies. The latter include smart materials (piezoceramics, shape memory alloys, magnetostrictives, electrorheological fluids) fabrication and testing, design of high-pressure chemical vapor deposition (CVD) reactors for production of microelectronic surfaces (e.g., semiconductors), while the former include groundwater contamination cleanup and other environmental modeling questions, climatology, flow control, and fluid-structure interactions as well as more traditional topics in biology, mechanics, and acoustics. These expository papers provide substantial stimulus to both young researchers and experienced investigators in control theory. Includes a comprehensive and lucid presentation that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems including design of robust stabilizing and finite-dimensional controllers for infinite-dimensional systems. It focuses on these two approaches to control design in an integrated system theoretic framework. This is excellent reading for researchers in both the frequency domain and time domain control communities. In other articles, topics considered include pointwise control of distributed parameter systems, bounded and unbounded sensors and actuators, stabilization issues for large flexible structures, and an overview discussion of damping models for flexible structures.
Book Synopsis Control of Distributed Parameter Systems 1989 by : M. Amouroux
Download or read book Control of Distributed Parameter Systems 1989 written by M. Amouroux and published by Elsevier. This book was released on 2014-06-28 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents state-of-the-art reports on the theory, and current and future applications of control of distributed parameter systems. The papers cover the progress not only in traditional methodology and pure research in control theory, but also the rapid growth of its importance for different applications. This title will be of interest to researchers working in the areas of mathematics, automatic control, computer science and engineering.
Book Synopsis Differential Equations by : K.D. Elworthy
Download or read book Differential Equations written by K.D. Elworthy and published by Routledge. This book was released on 2017-11-22 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.
Book Synopsis Advanced Topics in Control Systems Theory by : Antonio Loría
Download or read book Advanced Topics in Control Systems Theory written by Antonio Loría and published by Springer Science & Business Media. This book was released on 2006-02-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes selected contributions by lecturers at the third annual Formation d’Automatique de Paris. It provides a well-integrated synthesis of the latest thinking in nonlinear optimal control, observer design, stability analysis and structural properties of linear systems, without the need for an exhaustive literature review. The internationally known contributors to this volume represent many of the most reputable control centers in Europe.
Book Synopsis Discrete-time Sliding Mode Control by : B. Bandyopadhyay
Download or read book Discrete-time Sliding Mode Control written by B. Bandyopadhyay and published by Springer Science & Business Media. This book was released on 2005-10-17 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sliding mode control is a simple and yet robust control technique, where the system states are made to confine to a selected subset. With the increasing use of computers and discrete-time samplers in controller implementation in the recent past, discrete-time systems and computer based control have become important topics. This monograph presents an output feedback sliding mode control philosophy which can be applied to almost all controllable and observable systems, while at the same time being simple enough as not to tax the computer too much. It is shown that the solution can be found in the synergy of the multirate output sampling concept and the concept of discrete-time sliding mode control.
Book Synopsis Control of Redundant Robot Manipulators by : Rajni V. Patel
Download or read book Control of Redundant Robot Manipulators written by Rajni V. Patel and published by Springer Science & Business Media. This book was released on 2005-05-04 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a comprehensive and thorough treatment of the problem of controlling a redundant robot manipulator. It presents the latest research from the field with a good balance between theory and practice. All theoretical developments are verified both via simulation and experimental work on an actual prototype redundant robot manipulator. This book is the first text aimed at graduate students and researchers working in the area of redundant manipulators giving a comprehensive coverage of control of redundant robot manipulators from the viewpoint of theory and experimentation.
Book Synopsis Control of Uncertain Systems: Modelling, Approximation, and Design by : Bruce A. Francis
Download or read book Control of Uncertain Systems: Modelling, Approximation, and Design written by Bruce A. Francis and published by Taylor & Francis. This book was released on 2006-03-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift contains a collection of articles by friends, co-authors, colleagues, and former Ph.D. students of Keith Glover, Professor of Engineering at the University of Cambridge, on the occasion of his sixtieth birthday. Professor Glover's scientific work spans a wide variety of topics, the main themes being system identification, model reduction and approximation, robust controller synthesis, and control of aircraft and engines. The articles in this volume are a tribute to Professor Glover's seminal work in these areas.
Book Synopsis Positive Polynomials in Control by : Didier Henrion
Download or read book Positive Polynomials in Control written by Didier Henrion and published by Springer Science & Business Media. This book was released on 2005-01-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomials and LMI optimization to solve various control problems, 2. a mathematical overview of different algebraic techniques used to cope with polynomial positivity, 3. numerical aspects of positivity of polynomials, and recently developed software tools which can be employed to solve the problems discussed in the book.
Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics
Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 2006 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cooperative Control by : Vijay Kumar
Download or read book Cooperative Control written by Vijay Kumar and published by Springer Science & Business Media. This book was released on 2004-10-20 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are there universal principles of coordinated group motion and if so what might they be? This carefully edited book presents how natural groupings such as fish schools, bird flocks, deer herds etc. coordinate themselves and move so flawlessly, often without an apparent leader or any form of centralized control. It shows how the underlying principles of cooperative control may be used for groups of mobile autonomous agents to help enable a large group of autonomous robotic vehicles in the air, on land or sea or underwater, to collectively accomplish useful tasks such as distributed, adaptive scientific data gathering, search and rescue, or reconnaissance.
Book Synopsis Advances in Rehabilitation Robotics by : Z. Zenn Bien
Download or read book Advances in Rehabilitation Robotics written by Z. Zenn Bien and published by Springer Science & Business. This book was released on 2004-06-24 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major application targets of service robots is to use them as assistive devices for rehabilitation. This book introduces some latest achievements in the field of rehabilitation robotics and assistive technology for people with disabilities and aged people. The book contains results from both theoretical and experimental works and reviews on some new advanced rehabilitation devices which has been recently transferred to the industry. Significant parts of the book are devoted to the assessment of new rehabilitation technologies, the evaluation of prototype devices with end-users, the safety of rehabilitation robots, and robot-assisted neurorehabilitation. The book is a representative selection of the latest trends in rehabilitation robotics and can be used as a reference for teaching on mechatronic devices for rehabilitation.
Author :Sophie Tarbouriech Publisher :Springer Science & Business Media ISBN 13 :9783540228196 Total Pages :366 pages Book Rating :4.2/5 (281 download)
Book Synopsis Advances in Communication Control Networks by : Sophie Tarbouriech
Download or read book Advances in Communication Control Networks written by Sophie Tarbouriech and published by Springer Science & Business Media. This book was released on 2004-09-22 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The area of communication and computer networks has become a very active field of research by the control systems community in the last years. Tools from convex optimization and control theory are playing increasing roles in efficient network utilization, fair resource allocation, and communication delay accommodation and the field of Networked Control systems is fast becoming a mainstay of control systems research and applications. This carefully edited book brings together solicited contributions from experts in the various areas of communication/control networks referring to both networks under control (control in networks) as well as networked control systems (control over networks). The aim of this book is to reverse the trend of fragmentation and specialization in Communication Control Networks connecting various interdisciplinary research fields including control, communication, applied mathematics and computer science.