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Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities


Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities
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Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities


Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities
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Author : Gennady A Leonov
language : en
Publisher: World Scientific
Release Date : 2004-03-02

Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities written by Gennady A Leonov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-02 with Mathematics categories.


This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines.



Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities


Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities
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Author : Vladimir Andreevich I︠A︡kubovich
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2004

Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities written by Vladimir Andreevich I︠A︡kubovich and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.


This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines.



Analysis And Control Of Nonlinear Systems With Stationary Sets


Analysis And Control Of Nonlinear Systems With Stationary Sets
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Author : Jinzhi Wang
language : en
Publisher: World Scientific
Release Date : 2009

Analysis And Control Of Nonlinear Systems With Stationary Sets written by Jinzhi Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


Nonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering. Previous analysis has been based on the frequency-domain for this class of systems. However, few results on robustness analysis and controller design for these systems are easily available. This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.



Stability And Control Of Nonlinear Time Varying Systems


Stability And Control Of Nonlinear Time Varying Systems
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Author : Shuli Guo
language : en
Publisher: Springer
Release Date : 2018-04-12

Stability And Control Of Nonlinear Time Varying Systems written by Shuli Guo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-12 with Technology & Engineering categories.


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.



Discontinuity And Complexity In Nonlinear Physical Systems


Discontinuity And Complexity In Nonlinear Physical Systems
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Author : J. A. Tenreiro Machado
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-04

Discontinuity And Complexity In Nonlinear Physical Systems written by J. A. Tenreiro Machado and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-04 with Technology & Engineering categories.


Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity analysis. Part III examines chaos and periodic motions in discontinuous dynamical systems, extensively present in a range of systems, including piecewise linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.



Discontinuous Systems


Discontinuous Systems
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Author : Yury V. Orlov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-28

Discontinuous Systems written by Yury V. Orlov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-28 with Technology & Engineering categories.


Discontinuous Systems develops nonsmooth stability analysis and discontinuous control synthesis based on novel modeling of discontinuous dynamic systems, operating under uncertain conditions. While being primarily a research monograph devoted to the theory of discontinuous dynamic systems, no background in discontinuous systems is required; such systems are introduced in the book at the appropriate conceptual level. Being developed for discontinuous systems, the theory is successfully applied to their subclasses – variable-structure and impulsive systems – as well as to finite- and infinite-dimensional systems such as distributed-parameter and time-delay systems. The presentation concentrates on algorithms rather than on technical implementation although theoretical results are illustrated by electromechanical applications. These specific applications complete the book and, together with the introductory theoretical constituents bring some elements of the tutorial to the text.



Road Map For Sliding Mode Control Design


Road Map For Sliding Mode Control Design
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Author : Vadim Utkin
language : en
Publisher: Springer Nature
Release Date : 2020-04-13

Road Map For Sliding Mode Control Design written by Vadim Utkin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-13 with Science categories.


This book is devoted to control of finite and infinite dimensional processes with continuous-time and discrete time control, focusing on suppression problems and new methods of adaptation applicable for systems with sliding motions only. Special mathematical methods are needed for all the listed control tasks. These methods are addressed in the initial chapters, with coverage of the definition of the multidimensional sliding modes, the derivation of the differential equations of those motions, and the existence conditions. Subsequent chapters discusses various areas of further research. The book reflects the consensus view of the authors regarding the current status of SMC theory. It is addressed to a broad spectrum of engineers and theoreticians working in diverse areas of control theory and applications. It is well suited for use in graduate and postgraduate courses in such university programs as Electrical Engineering, Control of Nonlinear Systems, and Mechanical Engineering.



Dissipative Systems Analysis And Control


Dissipative Systems Analysis And Control
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Author : Bernard Brogliato
language : en
Publisher: Springer
Release Date : 2019-07-03

Dissipative Systems Analysis And Control written by Bernard Brogliato and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-03 with Technology & Engineering categories.


The third edition of the now standard Dissipative Systems Analysis and Control presents a revised and expanded treatment of dissipative systems theory, constituting a self-contained, advanced introduction for graduate students, researchers and practising engineers. It examines linear, nonlinear and nonsmooth systems, with many examples in each chapter; occasional infinite-dimensional examples are also included. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable and robust feedback control laws or state observers. The theory is substantiated by experimental results and by reference to its application in illustrative physical cases (Lagrangian systems, passivity-based and adaptive controllers are covered thoroughly). The third edition is substantially updated to accommodate new material within the existing chapter structure. The additions include: · the introduction of negative imaginary transfer functions; · the design of stable state observers that use passivity as a tool for their stability analysis; · a new section on robust set-valued control of uncertain Lagrangian systems; · extended section on discrete-time systems, especially the preservation of dissipativity after discretization; . a thorough treatment of nonsmooth set-valued Lur'e systems well-posednees and stability; . an extended chapter on the Kalman–Yakubovich–Popov Lemma; and . over 1000 references.



Design Of Nonlinear Control Systems With The Highest Derivative In Feedback


Design Of Nonlinear Control Systems With The Highest Derivative In Feedback
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Author : Valery D. Yurkevich
language : en
Publisher: World Scientific
Release Date : 2004

Design Of Nonlinear Control Systems With The Highest Derivative In Feedback written by Valery D. Yurkevich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Technology & Engineering categories.


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.



Generalized Homogeneity In Systems And Control


Generalized Homogeneity In Systems And Control
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Author : Andrey Polyakov
language : en
Publisher: Springer Nature
Release Date : 2020-02-05

Generalized Homogeneity In Systems And Control written by Andrey Polyakov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-05 with Technology & Engineering categories.


This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces; homogeneous control and estimation; simple methods for an "upgrade" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers. The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.