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By Alexey Pavlov, Nathan van de Wouw, Henk Nijmeijer,
Publisher: Birkhauser
Number Of Pages: 172
Publication Date: 2005-12-12
Sales Rank: 614470
ISBN / ASIN: 0817644458
EAN: 9780817644451
Binding: Hardcover
Manufacturer: Birkhauser
Studio: Birkhauser
Average Rating:
Total Reviews
Number Of Pages: 172
Publication Date: 2005-12-12
Sales Rank: 614470
ISBN / ASIN: 0817644458
EAN: 9780817644451
Binding: Hardcover
Manufacturer: Birkhauser
Studio: Birkhauser
Average Rating:
Total Reviews
Book Description:
The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory. An important variant of this problem is the output regulation problem, which can be used in such areas as set-point control, tracking reference signals and rejecting disturbances generated by an external system, controlled synchronization of dynamical systems, and observer design for autonomous systems. This book is one of the first systematic studies on the nonlinear output regulation problem that embraces both the local and global solvability analysis, covering such aspects as solvability conditions, controller design, and practical implementation issues. The book opens with the development of the mathematical apparatus of convergent systems—very useful for studying nonlinear control systems—laying the foundation for most of the results presented in the work. The study then proceeds to a new problem statement—the so-called uniform output regulation problem. A comprehensive solvability analysis of this problem is provided in the next part of the work. Based on the solvability analysis, constructive controller design methods for the global uniform output regulation problem are presented for various classes of nonlinear systems. In an attempt to bridge the gap between theory and practice, the authors conclude with a presentation of an experimental case study. The experiment—one of the first in the field of nonlinear output regulation—deals with control of a translational oscillator with a rotational actuator, illustrating the applicability of the nonlinear output regulation theory in experiments and raising a number of questions to be addressed in future research. The scope of questions addressed in the book, the uniformity of their treatment, the novelty of the proposed approach, and the obtained results make this volume unique with respect to other works on the problem of nonlinear output regulation. In addition to being an excellent reference for the uniform output regulation problem, the book has a tutorial value on convergent systems. The work will be of interest to control engineers theorists, and students, and may be used as a textbook for a graduate course on nonlinear control
The problem of asymptotic regulation of the output of a dynamical system plays a central role in control theory. An important variant of this problem is the output regulation problem, which can be used in such areas as set-point control, tracking reference signals and rejecting disturbances generated by an external system, controlled synchronization of dynamical systems, and observer design for autonomous systems. This book is one of the first systematic studies on the nonlinear output regulation problem that embraces both the local and global solvability analysis, covering such aspects as solvability conditions, controller design, and practical implementation issues. The book opens with the development of the mathematical apparatus of convergent systems—very useful for studying nonlinear control systems—laying the foundation for most of the results presented in the work. The study then proceeds to a new problem statement—the so-called uniform output regulation problem. A comprehensive solvability analysis of this problem is provided in the next part of the work. Based on the solvability analysis, constructive controller design methods for the global uniform output regulation problem are presented for various classes of nonlinear systems. In an attempt to bridge the gap between theory and practice, the authors conclude with a presentation of an experimental case study. The experiment—one of the first in the field of nonlinear output regulation—deals with control of a translational oscillator with a rotational actuator, illustrating the applicability of the nonlinear output regulation theory in experiments and raising a number of questions to be addressed in future research. The scope of questions addressed in the book, the uniformity of their treatment, the novelty of the proposed approach, and the obtained results make this volume unique with respect to other works on the problem of nonlinear output regulation. In addition to being an excellent reference for the uniform output regulation problem, the book has a tutorial value on convergent systems. The work will be of interest to control engineers theorists, and students, and may be used as a textbook for a graduate course on nonlinear control
Contemporary Trends in Nonlinear Geometric Control Theory and Its Applications
World Scientific Publishing Company | ISBN: 9810248415 | 2002-03-01 | PDF | 496 pages | 14 Mb
Mathematical control theory has evolved from the study of practical problems in engineering and sciences to the elaboration of deep, important concepts in mathematics and applied sciences. This volume concerns contemporary trends in nonlinear geometric control theory and its applications. It is a fine collection of papers presenting new results, relevant open problems, and important applications regarding academic and real-world problems.
World Scientific Publishing Company | ISBN: 9810248415 | 2002-03-01 | PDF | 496 pages | 14 Mb
Mathematical control theory has evolved from the study of practical problems in engineering and sciences to the elaboration of deep, important concepts in mathematics and applied sciences. This volume concerns contemporary trends in nonlinear geometric control theory and its applications. It is a fine collection of papers presenting new results, relevant open problems, and important applications regarding academic and real-world problems.
The book is dedicated to Velimir Jurdjevic whose scientific activity has been influential in the research of many of the authors. It contains a number of articles specially written by colleagues and friends of Vel Jurdjevic, all of them leading applied mathematicians and control theorists. There is also place for surveys on topics of current research which present the state of the art of modern geometric control theory. Finally, the volume contains several new mathematical ideas generated by geometric control theory techniques, which may initiate new directions of research beyond control theory.
Control Theory from the Geometric Viewpoint
By Andrei A. Agrachev, Yuri L. Sachkov, Andrei Agrachev, Yuri Sachkov
By Andrei A. Agrachev, Yuri L. Sachkov, Andrei Agrachev, Yuri Sachkov
Publisher: Springer
Number Of Pages: 412
Publication Date: 2004-05-27
ISBN-10 / ASIN: 3540210199
ISBN-13 / EAN: 9783540210191
Binding: Hardcover
Number Of Pages: 412
Publication Date: 2004-05-27
ISBN-10 / ASIN: 3540210199
ISBN-13 / EAN: 9783540210191
Binding: Hardcover
Product Description:
This book presents some facts and methods of Mathematical Control Theory treated from the geometric viewpoint. It is devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations. The problems of controllability, state and feedback equivalence, and optimal control are studied.
Some of the topics treated by the authors are covered in monographic or textbook literature for the first time while others are presented in a more general and flexible setting than elsewhere.
Although being fundamentally written for mathematicians, the authors make an attempt to reach both the practitioner and the theoretician by blending the theory with applications. They maintain a good balance between the mathematical integrity of the text and the conceptual simplicity that might be required by engineers It can be used as a text for graduate courses and will become most valuable as a reference work for graduate students and researchers.
Some of the topics treated by the authors are covered in monographic or textbook literature for the first time while others are presented in a more general and flexible setting than elsewhere.
Although being fundamentally written for mathematicians, the authors make an attempt to reach both the practitioner and the theoretician by blending the theory with applications. They maintain a good balance between the mathematical integrity of the text and the conceptual simplicity that might be required by engineers It can be used as a text for graduate courses and will become most valuable as a reference work for graduate students and researchers.
Control of Nonlinear Dynamical Systems: Methods and Applications
(Communications and Control Engineering)
By F.L. Chernousko, I. M. Ananievski, S. A. Reshmin
(Communications and Control Engineering)
By F.L. Chernousko, I. M. Ananievski, S. A. Reshmin
Publisher: Springer
Number Of Pages: 396
Publication Date: 2008-11-01
ISBN-10 / ASIN: 3540707824
ISBN-13 / EAN: 9783540707820
Binding: Hardcover
Number Of Pages: 396
Publication Date: 2008-11-01
ISBN-10 / ASIN: 3540707824
ISBN-13 / EAN: 9783540707820
Binding: Hardcover
Product Description:
This book is devoted to new methods of control for complex dynamical systems and deals with nonlinear control systems having several degrees of freedom, subjected to unknown disturbances, and containing uncertain parameters. Various constraints are imposed on control inputs and state variables or their combinations. The book contains an introduction to the theory of optimal control and the theory of stability of motion, and also a description of some known methods based on these theories.
Major attention is given to new methods of control developed by the authors over the last 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange’s equations are considered. General methods are proposed for an effective construction of the required control, often in an explicit form. The book contains various techniques including the decomposition of nonlinear control systems with many degrees of freedom, piece-wise linear feedback control based on Lyapunov’s functions, methods which elaborate and extend the approaches of the conventional control theory, optimal control, differential games, and the theory of stability. The distinctive feature of the methods developed in the book is that the controls obtained satisfy the imposed constraints and steer the dynamical system to a prescribed terminal state in finite time. Explicit upper estimates for the time of the process are given. In all cases, the control algorithms and the estimates obtained are strictly proven.
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