Systems With Non Smooth Inputs
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Systems With Non Smooth Inputs
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Author : Jürgen Appell
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-03-08
Systems With Non Smooth Inputs written by Jürgen Appell and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-08 with Mathematics categories.
The authors present a completely new and highly application-oriented field of nonlinear analysis. The work covers the theory of non-smooth input-output systems and presents various methods to non-standard applications in mathematics and physics. A particular focus lies on hysteresis and relay phenomena, electric circuits with diode nonlinearities, and biological systems with constraints.
Type 2 Fuzzy Logic In Control Of Nonsmooth Systems
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Author : Oscar Castillo
language : en
Publisher: Springer
Release Date : 2018-11-02
Type 2 Fuzzy Logic In Control Of Nonsmooth Systems written by Oscar Castillo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-02 with Technology & Engineering categories.
This book presents the synthesis and analysis of fuzzy controllers and its application to a class of mechanical systems. It mainly focuses on the use of type-2 fuzzy controllers to account for disturbances known as hard or nonsmooth nonlinearities. The book, which summarizes the authors’ research on type-2 fuzzy logic and control of mechanical systems, presents models, simulation and experiments towards the control of servomotors with dead-zone and Coulomb friction, and the control of both wheeled mobile robots and a biped robot. Closed-loop systems are analyzed in the framework of smooth and nonsmooth Lyapunov functions.
Adaptive Control Of Nonsmooth Dynamic Systems
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Author : Gang Tao
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Adaptive Control Of Nonsmooth Dynamic Systems written by Gang Tao 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 2013-04-17 with Technology & Engineering categories.
A complete reference to adaptive control of systems with nonsmooth industrial nonlinearities such as: backlash; dead-zones; component failure; friction; hysteresis; saturation; and time delays. Actuator nonlinearities are ubiquitous in engineering practice and limit control system performance. While standard feedback control alone cannot handle these nonsmooth nonlinearities effectively, this book shows how such nonlinear characteristics can be compensated for by using adaptive and intelligent control techniques. This allows desired system performance to be achieved in the presence of uncertain nonlinearities. With surveys of literature and summaries of various design methods, the contributors present new solutions to some important issues in adaptive control of systems with various sorts of nonsmooth nonlinearities. The book motivates more research activities in the field of adaptive control of nonsmooth nonlinear industrial systems by formulating several challenging open problems in related areas.
Nonsmooth Mechanics
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Author : Bernard Brogliato
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonsmooth Mechanics written by Bernard Brogliato 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 2012-12-06 with Technology & Engineering categories.
Thank you for opening the second edition of this monograph, which is devoted to the study of a class of nonsmooth dynamical systems of the general form: ::i; = g(x,u) (0. 1) f(x, t) 2: 0 where x E JRn is the system's state vector, u E JRm is the vector of inputs, and the function f (-, . ) represents a unilateral constraint that is imposed on the state. More precisely, we shall restrict ourselves to a subclass of such systems, namely mechanical systems subject to unilateral constraints on the position, whose dynamical equations may be in a first instance written as: ii= g(q,q,u) (0. 2) f(q, t) 2: 0 where q E JRn is the vector of generalized coordinates of the system and u is an in put (or controller) that generally involves a state feedback loop, i. e. u= u(q, q, t, z), with z= Z(z, q, q, t) when the controller is a dynamic state feedback. Mechanical systems composed of rigid bodies interacting fall into this subclass. A general prop erty of systems as in (0. 1) and (0. 2) is that their solutions are nonsmooth (with respect to time): Nonsmoothness arises primarily from the occurence of impacts (or collisions, or percussions) in the dynamical behaviour, when the trajectories attain the surface f(x, t) = O. They are necessary to keep the trajectories within the subspace = {x : f(x, t) 2: O} of the system's state space.
Optimal Control Stabilization And Nonsmooth Analysis
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Author : Marcio S. de Queiroz
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-04-20
Optimal Control Stabilization And Nonsmooth Analysis written by Marcio S. de Queiroz 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 2004-04-20 with Technology & Engineering categories.
This edited book contains selected papers presented at the Louisiana Conference on Mathematical Control Theory (MCT'03), which brought together over 35 prominent world experts in mathematical control theory and its applications. The book forms a well-integrated exploration of those areas of mathematical control theory in which nonsmooth analysis is having a major impact. These include necessary and sufficient conditions in optimal control, Lyapunov characterizations of stability, input-to-state stability, the construction of feedback mechanisms, viscosity solutions of Hamilton-Jacobi equations, invariance, approximation theory, impulsive systems, computational issues for nonlinear systems, and other topics of interest to mathematicians and control engineers. The book has a strong interdisciplinary component and was designed to facilitate the interaction between leading mathematical experts in nonsmooth analysis and engineers who are increasingly using nonsmooth analytic tools.
System Modeling And Optimization
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Author : John Cagnol
language : en
Publisher: Springer
Release Date : 2006-01-15
System Modeling And Optimization written by John Cagnol and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-15 with Technology & Engineering categories.
System Modeling and Optimization is an indispensable reference for anyone interested in the recent advances in these two disciplines. The book collects, for the first time, selected articles from the 21st and most recent IFIP TC 7 conference in Sophia Antipolis, France. Applied mathematicians and computer scientists can attest to the ever-growing influence of these two subjects. The practical applications of system modeling and optimization can be seen in a number of fields: environmental science, transport and telecommunications, image analysis, free boundary problems, bioscience, and non-cylindrical evolution control, to name just a few. New developments in each of these fields have contributed to a more complex understanding of both system modeling and optimization. Editors John Cagnol and Jean-Paul Zolésio, chairs of the conference, have assembled System Modeling and Optimization to present the most up-to-date developments to professionals and academics alike.
European Control Conference 1995
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Author :
language : en
Publisher: European Control Association
Release Date : 1995-09-05
European Control Conference 1995 written by and has been published by European Control Association this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-05 with categories.
Proceedings of the European Control Conference 1995, Rome, Italy 5-8 September 1995
Nonsmooth Lyapunov Analysis In Finite And Infinite Dimensions
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Author : Yury Orlov
language : en
Publisher: Springer Nature
Release Date : 2020-02-08
Nonsmooth Lyapunov Analysis In Finite And Infinite Dimensions written by Yury Orlov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-08 with Technology & Engineering categories.
Nonsmooth Lyapunov Analysis in Finite and Infinite Dimensions provides helpful tools for the treatment of a broad class of dynamical systems that are governed, not only by ordinary differential equations but also by partial and functional differential equations. Existing Lyapunov constructions are extended to discontinuous systems—those with variable structure and impact—by the involvement of nonsmooth Lyapunov functions. The general theoretical presentation is illustrated by control-related applications; the nonsmooth Lyapunov construction is particularly applied to the tuning of sliding-mode controllers in the presence of mismatched disturbances and to orbital stabilization of the bipedal gate. The nonsmooth construction is readily extendible to the control and identification of distributed-parameter and time-delay systems. The first part of the book outlines the relevant fundamentals of benchmark models and mathematical basics. The second concentrates on the construction of nonsmooth Lyapunov functions. Part III covers design and applications material. This book will benefit the academic research and graduate student interested in the mathematics of Lyapunov equations and variable-structure control, stability analysis and robust feedback design for discontinuous systems. It will also serve the practitioner working with applications of such systems. The reader should have some knowledge of dynamical systems theory, but no background in discontinuous systems is required—they are thoroughly introduced in both finite- and infinite-dimensional settings.
Numerical Methods For Nonsmooth Dynamical Systems
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Author : Vincent Acary
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-30
Numerical Methods For Nonsmooth Dynamical Systems written by Vincent Acary 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 2008-01-30 with Technology & Engineering categories.
This book concerns the numerical simulation of dynamical systems whose trajec- ries may not be differentiable everywhere. They are named nonsmooth dynamical systems. They make an important class of systems, rst because of the many app- cations in which nonsmooth models are useful, secondly because they give rise to new problems in various elds of science. Usually nonsmooth dynamical systems are represented as differential inclusions, complementarity systems, evolution va- ational inequalities, each of these classes itself being split into several subclasses. The book is divided into four parts, the rst three parts being sketched in Fig. 0. 1. The aim of the rst part is to present the main tools from mechanics and applied mathematics which are necessary to understand how nonsmooth dynamical systems may be numerically simulated in a reliable way. Many examples illustrate the th- retical results, and an emphasis is put on mechanical systems, as well as on electrical circuits (the so-called Filippov’s systems are also examined in some detail, due to their importance in control applications). The second and third parts are dedicated to a detailed presentation of the numerical schemes. A fourth part is devoted to the presentation of the software platform Siconos. This book is not a textbook on - merical analysis of nonsmooth systems, in the sense that despite the main results of numerical analysis (convergence, order of consistency, etc. ) being presented, their proofs are not provided.
Real Time Iterative Learning Control
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Author : Jian-Xin Xu
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-12
Real Time Iterative Learning Control written by Jian-Xin Xu 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 2008-12-12 with Technology & Engineering categories.
Real-time Iterative Learning Control demonstrates how the latest advances in iterative learning control (ILC) can be applied to a number of plants widely encountered in practice. The book gives a systematic introduction to real-time ILC design and source of illustrative case studies for ILC problem solving; the fundamental concepts, schematics, configurations and generic guidelines for ILC design and implementation are enhanced by a well-selected group of representative, simple and easy-to-learn example applications. Key issues in ILC design and implementation in linear and nonlinear plants pervading mechatronics and batch processes are addressed, in particular: ILC design in the continuous- and discrete-time domains; design in the frequency and time domains; design with problem-specific performance objectives including robustness and optimality; design in a modular approach by integration with other control techniques; and design by means of classical tools based on Bode plots and state space.