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  • © 2007

Optimal Control of Constrained Piecewise Affine Systems

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 359)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XXVII
  2. Background

    1. Front Matter

      Pages 1-1
  3. Optimal Control of Constrained Piecewise Affine Systems

    1. Front Matter

      Pages 43-43
    2. Introduction

      Pages 45-47
  4. Analysis and Post-Processing Techniques for Piecewise Affine Systems

    1. Front Matter

      Pages 93-93
    2. Stability Analysis

      Pages 114-134
    3. Stability Tubes

      Pages 135-149
  5. Back Matter

    Pages 167-196

About this book

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.

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)

Authors and Affiliations

  • Automatic Control Laboratory, ETH Zurich, Zurich, Switzerland

    Frank J. Christophersen

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access