Stability And Control Of Nonlinear Time Varying Systems

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Stability and Control of Nonlinear Time-varying Systems

Shuli Guo,Lina Han
Stability and Control of Nonlinear Time varying Systems Book PDF

Author : Shuli Guo,Lina Han
Publisher : Springer
Page : 260 pages
File Size : 41,7 Mb
Release : 2018-04-12
Category : Technology & Engineering
ISBN : 9789811089084

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Stability and Control of Nonlinear Time-varying Systems by Shuli Guo,Lina Han Pdf

This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.

Linear, Time-varying Approximations to Nonlinear Dynamical Systems

Maria Tomas-Rodriguez,Stephen P. Banks
Linear Time varying Approximations to Nonlinear Dynamical Systems Book PDF

Author : Maria Tomas-Rodriguez,Stephen P. Banks
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 52,8 Mb
Release : 2010-02-04
Category : Mathematics
ISBN : 9781849961004

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Linear, Time-varying Approximations to Nonlinear Dynamical Systems by Maria Tomas-Rodriguez,Stephen P. Banks Pdf

Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.

Nonlinear Dynamical Systems and Control

Wassim M. Haddad,VijaySekhar Chellaboina
Nonlinear Dynamical Systems and Control Book PDF

Author : Wassim M. Haddad,VijaySekhar Chellaboina
Publisher : Princeton University Press
Page : 975 pages
File Size : 53,9 Mb
Release : 2011-09-19
Category : Mathematics
ISBN : 9781400841042

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Nonlinear Dynamical Systems and Control by Wassim M. Haddad,VijaySekhar Chellaboina Pdf

Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

Dynamic Systems with Time Delays: Stability and Control

Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen
Dynamic Systems with Time Delays Stability and Control Book PDF

Author : Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen
Publisher : Springer Nature
Page : 335 pages
File Size : 44,7 Mb
Release : 2019-08-29
Category : Science
ISBN : 9789811392542

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Dynamic Systems with Time Delays: Stability and Control by Ju H. Park,Tae H. Lee,Yajuan Liu,Jun Chen Pdf

This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.

Introduction to Nonlinear Control

Christopher M. Kellett,Philipp Braun
Introduction to Nonlinear Control Book PDF

Author : Christopher M. Kellett,Philipp Braun
Publisher : Princeton University Press
Page : 552 pages
File Size : 44,6 Mb
Release : 2023-06-27
Category : Mathematics
ISBN : 9780691240497

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Introduction to Nonlinear Control by Christopher M. Kellett,Philipp Braun Pdf

An introductory text on the analysis, control, and estimation of nonlinear systems, appropriate for advanced undergraduate and graduate students This self-contained and accessible introduction to the concepts and techniques used for nonlinear feedback systems offers a holistic treatment suitable for use in both advanced undergraduate and graduate courses; students need only some familiarity with differential equations and linear algebra to understand the material presented. The text begins with an overview of stability and Lyapunov methods for nonlinear systems, with Lyapunov’s second method revisited throughout the book as a connective thread. Other introductory chapters cover linear systems, frequency domain methods, and discrete-time systems. Building on this background material, the book provides a broad introduction to the basic ideas underpinning major themes of research in nonlinear control, including input-to-state stability, sliding mode control, adaptive control, feedback linearization, and robust output regulation. Chapters also cover observer design and estimation for nonlinear systems. The text is notable for its coverage of nonlinear model predictive control and its introduction to the use of linear matrix inequalities and semidefinite programming coupled with their use in modern antiwindup designs. • First text on nonlinear control appropriate for undergraduates • Suitable both for students preparing for rigorous graduate study and for those entering technical fields outside of academia • Unique in its coverage of recent research topics • Pedagogical features including extensive chapter summaries, examples, and appendixes with definitions, results, and MATLAB applications

Robust Control for Nonlinear Time-Delay Systems

Changchun Hua,Liuliu Zhang,Xinping Guan
Robust Control for Nonlinear Time Delay Systems Book PDF

Author : Changchun Hua,Liuliu Zhang,Xinping Guan
Publisher : Springer
Page : 300 pages
File Size : 53,8 Mb
Release : 2017-06-28
Category : Technology & Engineering
ISBN : 9789811051319

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Robust Control for Nonlinear Time-Delay Systems by Changchun Hua,Liuliu Zhang,Xinping Guan Pdf

This book reports on the latest findings concerning nonlinear control theory and applications. It presents novel work on several kinds of commonly encountered nonlinear time-delay systems, including those whose nonlinear terms satisfy high-order polynomial form or general nonlinear form, those with nonlinear input or a triangular structure, and so on. As such, the book will be of interest to university researchers, R&D engineers and graduate students in the fields of control theory and control engineering who wish to learn about the core principles, methods, algorithms, and applications of nonlinear time-delay systems.

Stability and Stabilization of Nonlinear Systems

Iasson Karafyllis,Zhong-Ping Jiang
Stability and Stabilization of Nonlinear Systems Book PDF

Author : Iasson Karafyllis,Zhong-Ping Jiang
Publisher : Springer Science & Business Media
Page : 401 pages
File Size : 40,9 Mb
Release : 2011-04-02
Category : Technology & Engineering
ISBN : 9780857295132

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Stability and Stabilization of Nonlinear Systems by Iasson Karafyllis,Zhong-Ping Jiang Pdf

Recently, the subject of nonlinear control systems analysis has grown rapidly and this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systems with delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; and new tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.

Nonlinear Systems: Stability, Dynamics And Control

Guanrong Chen
Nonlinear Systems Stability Dynamics And Control Book PDF

Author : Guanrong Chen
Publisher : World Scientific
Page : 234 pages
File Size : 42,7 Mb
Release : 2023-06-28
Category : Science
ISBN : 9789811279003

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Nonlinear Systems: Stability, Dynamics And Control by Guanrong Chen Pdf

The topic of nonlinear systems is fundamental to the study of systems engineering. So extensive investigations have been carried out by both the nonlinear control and nonlinear dynamics communities, but the focus can be different — on controllers design and dynamics analysis, respectively. The last two decades have witnessed the gradual merging of control theory and dynamics analysis, but not yet to the extent of controlling nonlinear dynamics such as bifurcations and chaos. This monograph is an attempt to fill that gap while presenting a rather comprehensive coverage of the fundamental nonlinear systems theory in a self-contained and approachable manner.This introductory treatise is written for self-study and, in particular, as an elementary textbook that can be taught in a one-semester course to advanced undergraduates or entrance level graduates with curricula focusing on nonlinear systems, both on control theory and dynamics analysis.

Nonlinear Systems Stability Analysis

Seyed Kamaleddin Yadavar Nikravesh
Nonlinear Systems Stability Analysis Book PDF

Author : Seyed Kamaleddin Yadavar Nikravesh
Publisher : CRC Press
Page : 323 pages
File Size : 45,8 Mb
Release : 2018-09-03
Category : Science
ISBN : 9781351831888

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Nonlinear Systems Stability Analysis by Seyed Kamaleddin Yadavar Nikravesh Pdf

The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions. Although numerical solutions are impractical and graphical techniques are not useful for many types of systems, there are different theorems and methods that are useful regarding qualitative properties of nonlinear systems and their solutions—system stability being the most crucial property. Without stability, a system will not have value. Nonlinear Systems Stability Analysis: Lyapunov-Based Approach introduces advanced tools for stability analysis of nonlinear systems. It presents the most recent progress in stability analysis and provides a complete review of the dynamic systems stability analysis methods using Lyapunov approaches. The author discusses standard stability techniques, highlighting their shortcomings, and also describes recent developments in stability analysis that can improve applicability of the standard methods. The text covers mostly new topics such as stability of homogonous nonlinear systems and higher order Lyapunov functions derivatives for stability analysis. It also addresses special classes of nonlinear systems including time-delayed and fuzzy systems. Presenting new methods, this book provides a nearly complete set of methods for constructing Lyapunov functions in both autonomous and nonautonomous systems, touching on new topics that open up novel research possibilities. Gathering a body of research into one volume, this text offers information to help engineers design stable systems using practice-oriented methods and can be used for graduate courses in a range of engineering disciplines.

Nonlinear Systems

A.J. Fossard,D. Normand-Cyrot
Nonlinear Systems Book PDF

Author : A.J. Fossard,D. Normand-Cyrot
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 50,9 Mb
Release : 1996-07-31
Category : Technology & Engineering
ISBN : 0412600005

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Nonlinear Systems by A.J. Fossard,D. Normand-Cyrot Pdf

Nonlinear Systems is divided into three volumes. The first deals with modeling and estimation, the second with stability and stabilization and the third with control. This three-volume set provides the most comprehensive and detailed reference available on nonlinear systems. Written by a group of leading experts in the field, drawn from industry, government and academic institutions, it provides a solid theoretical basis on nonlinear control methods as well as practical examples and advice for engineers, teachers and researchers working with nonlinear systems. Each book focuses on the applicability of the concepts introduced and keeps the level of mathematics to a minimum. Simulations and industrial examples drawn from aerospace as well as mechanical, electrical and chemical engineering are given throughout.

Practical Stability of Nonlinear Systems

V. Lakshmikantham,S. Leela,A. A. Martynyuk
Practical Stability of Nonlinear Systems Book PDF

Author : V. Lakshmikantham,S. Leela,A. A. Martynyuk
Publisher : World Scientific
Page : 228 pages
File Size : 44,5 Mb
Release : 1990
Category : Computers
ISBN : 981020356X

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Practical Stability of Nonlinear Systems by V. Lakshmikantham,S. Leela,A. A. Martynyuk Pdf

This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing how this effective technique can be adapted to investigate various apparently diverse nonlinear problems including control systems and multivalued differential equations.

Networked Nonlinear Stochastic Time-Varying Systems

Hongli Dong,Zidong Wang,Nan Hou
Networked Nonlinear Stochastic Time Varying Systems Book PDF

Author : Hongli Dong,Zidong Wang,Nan Hou
Publisher : CRC Press
Page : 278 pages
File Size : 44,5 Mb
Release : 2021-09-10
Category : Technology & Engineering
ISBN : 9781000433722

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Networked Nonlinear Stochastic Time-Varying Systems by Hongli Dong,Zidong Wang,Nan Hou Pdf

Networked Non-linear Stochastic Time-Varying Systems: Analysis and Synthesis copes with the filter design, fault estimation and reliable control problems for different classes of nonlinear stochastic time-varying systems with network-enhanced complexities. Divided into three parts, the book discusses the finite-horizon filtering, fault estimation and reliable control, and randomly occurring nonlinearities/uncertainties followed by designing of distributed state and fault estimators, and distributed filters. The third part includes problems of variance-constrained H∞ state estimation, partial-nodes-based state estimation and recursive filtering for nonlinear time-varying complex networks with randomly varying topologies, and random coupling strengths. Offers a comprehensive treatment of the topics related to Networked Nonlinear Stochastic Time-Varying Systems with rigorous math foundation and derivation Unifies existing and emerging concepts concerning control/filtering/estimation and distributed filtering Provides a series of latest results by drawing on the conventional theories of systems science, control engineering and signal processing Deal with practical engineering problems such as event triggered H∞ filtering, non-fragile distributed estimation, recursive filtering, set-membership filtering Demonstrates illustrative examples in each chapter to verify the correctness of the proposed results This book is aimed at engineers, mathematicians, scientists, and upper-level students in the fields of control engineering, signal processing, networked control systems, robotics, data analysis, and automation.

Short-time Stability in Linear Time-varying Systems

Peter Dorato
Short time Stability in Linear Time varying Systems Book PDF

Author : Peter Dorato
Publisher : Unknown
Page : 156 pages
File Size : 52,8 Mb
Release : 1961
Category : Stability
ISBN : CORNELL:31924004018606

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Short-time Stability in Linear Time-varying Systems by Peter Dorato Pdf

The concept of short-time stability finds application in missile and satellite systems where operating times are often of finite duration. Short-time stability assures, in a finite time interval, that all inputs bounded by a prescribed constant Greek epsilon result in outputs bounded by a second prescribed constant. The study of short-time stability is divided into two categories: undriven systems and driven systems. Undriven systems are represented by a set of differential equations. Sufficient conditions for short-time stability are given in terms of the coefficients. Driven systems are represented by their impulse response. A necessary and sufficient condition for short-time stability in driven systems is given directly in terms of impulse response. Sufficient conditions for short-time stability in feedback systems, in terms of the open loop impulse response are also included. In addition the concept of shorttime C-equivalence, essentially a structural stability concept, is introduced. Necessary and sufficient conditions for two systems to be short-time C-equivalent are presented. (Author).

Iterative Learning Control for Nonlinear Time-Delay System

Jianming Wei,Hong Wang,Fang Liu
Iterative Learning Control for Nonlinear Time Delay System Book PDF

Author : Jianming Wei,Hong Wang,Fang Liu
Publisher : Springer Nature
Page : 185 pages
File Size : 43,5 Mb
Release : 2023-01-01
Category : Technology & Engineering
ISBN : 9789811963179

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Iterative Learning Control for Nonlinear Time-Delay System by Jianming Wei,Hong Wang,Fang Liu Pdf

This book focuses on adaptive iterative learning control problem for nonlinear time-delay systems.A universal adaptive learning control scheme is provided for a wide classes of nonlinear systems with time-varying delay and input nonlinearity. Proceeding from easy to difficult, this book deals with the adaptive iterative learning control problems for parameterized nonlinear time-delay systems, non-parameterized nonlinear time-delay systems, nonlinear time-delay systems with unknown control direction and nonlinear time-delay systems with un-measurable states. The proposed control schemes can be extended to the adaptive learning control problem for wider classes of nonlinear systems revelent to abovementioned nonlinear systems.The topics presented in this book are research hot spots of iterative learning control. This book will be a valuable reference for researchers and students working or studying in this area.

Design of Nonlinear Control Systems with the Highest Derivative in Feedback

Valery D. Yurkevich
Design of Nonlinear Control Systems with the Highest Derivative in Feedback Book PDF

Author : Valery D. Yurkevich
Publisher : World Scientific
Page : 374 pages
File Size : 47,9 Mb
Release : 2004
Category : Technology & Engineering
ISBN : 9789812388995

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Design of Nonlinear Control Systems with the Highest Derivative in Feedback by Valery D. Yurkevich Pdf

This unique book presents an analytical uniform design methodology of continuous-time or discrete-time nonlinear control system design which guarantees desired transient performances in the presence of plant parameter variations and unknown external disturbances. All results are illustrated with numerical simulations, their practical importance is highlighted, and they may be used for real-time control system design in robotics, mechatronics, chemical reactors, electrical and electro-mechanical systems as well as aircraft control systems. The book is easy reading and is suitable for teaching.