Control of Nonlinear Dynamical Systems: Methods and Applications

Author:   Felix L. Chernous'ko ,  I. M. Ananievski ,  S. A. Reshmin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of hardcover 1st ed. 2008
ISBN:  

9783642089701


Pages:   396
Publication Date:   17 November 2010
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Control of Nonlinear Dynamical Systems: Methods and Applications


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Overview

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, piecewise 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 c- trols obtained satisfy the imposed constraints and steer the dynamical system to a prescribed terminal state in ?nite 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.

Full Product Details

Author:   Felix L. Chernous'ko ,  I. M. Ananievski ,  S. A. Reshmin
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2008
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.623kg
ISBN:  

9783642089701


ISBN 10:   3642089704
Pages:   396
Publication Date:   17 November 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

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Reviews

From the reviews: This book have been devoted to the control of Lagrangian mechanical systems. ... The presentation of the book is mathematical. ... the book discovers a number of new and specific control theoretic ideas dedicated to mechanical systems that may arouse interest of control engineering community and provide a research inspiration to robotics community. (Krzysztof Tchon, Zentralblatt MATH, Vol. 1155, 2009) This book is for researchers interested in control of nonlinear systems subject to unknown disturbances, containing uncertain parameters, and having several degrees of freedom. (IEEE Control Systems and Magazine, Vol. 30, June, 2010)


From the reviews: This book have been devoted to the control of Lagrangian mechanical systems. ... The presentation of the book is mathematical. ... the book discovers a number of new and specific control theoretic ideas dedicated to mechanical systems that may arouse interest of control engineering community and provide a research inspiration to robotics community. (Krzysztof Tchon, Zentralblatt MATH, Vol. 1155, 2009)


From the reviews: This book have been devoted to the control of Lagrangian mechanical systems. ! The presentation of the book is mathematical. ! the book discovers a number of new and specific control theoretic ideas dedicated to mechanical systems that may arouse interest of control engineering community and provide a research inspiration to robotics community. (Krzysztof Tchon, Zentralblatt MATH, Vol. 1155, 2009)


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