Overview
One of the most important and challenging problems in control is the derivation of systematic tools for the computation of controllers for constrained nonlinear systems that can guarantee closed-loop stability, feasibility, and optimality with respect to some performance index. This book focuses on the efficient and systematic computation of closed-form optimal controllers for the powerful class of fast-sampled constrained piecewise affine systems. These systems may exhibit rather complex behavior and are equivalent to many other hybrid system formalisms (combining continuous-valued dynamics with logic rules) reported in the literature. Furthermore, piecewise affine systems are a useful modeling tool that can capture general nonlinearities (e.g. by local approximation), constraints, saturations, switches, and other hybrid modeling phenomena. The first part of the book presents an introduction to the mathematical and control theoretical background material needed for the full understanding of the book. The second part provides an in depth look at the computational and control theoretic properties of the controllers and part three presents different analysis and post-processing techniques.
Full Product Details
Author: Frank Christophersen
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 2007 ed.
Volume: 359
Dimensions:
Width: 15.50cm
, Height: 0.90cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9783540727002
ISBN 10: 3540727000
Pages: 196
Publication Date: 27 July 2007
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of stock
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Reviews
From the reviews: The monograph considers the class of constrained piecewise affine systems, and then optimal control and stability. ! a revised and extended version of the authors PhD thesis written at the Automatic Control Laboratory of ETH Zurich in Switzerland. ! intended for engineers and researchers in control ! . (Tommi Sottinen, Zentralblatt MATH, Vol. 1171, 2009)
From the reviews: ""The monograph considers the class of constrained piecewise affine systems, and then optimal control and stability. ! a revised and extended version of the authors PhD thesis written at the Automatic Control Laboratory of ETH Zurich in Switzerland. ! intended for engineers and researchers in control ! ."" (Tommi Sottinen, Zentralblatt MATH, Vol. 1171, 2009)
From the reviews: The monograph considers the class of constrained piecewise affine systems, and then optimal control and stability. ! a revised and extended version of the authors PhD thesis written at the Automatic Control Laboratory of ETH Zurich in Switzerland. ! intended for engineers and researchers in control ! . (Tommi Sottinen, Zentralblatt MATH, Vol. 1171, 2009)
