Optimal Control of Constrained Piecewise Affine Systems

  • Frank J. Christophersen

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

Table of contents

  1. Front Matter
    Pages I-XXVII
  2. Background

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

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

  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.


Approximation Constrained Systems Dynamic Programming Hybrid Systems Multi-parametric Programming Nonlinear system Piecewise Affine Systems control control theory optimal control programming stability system

Authors and affiliations

  • Frank J. Christophersen
    • 1
  1. 1.Automatic Control LaboratoryETH ZurichZurichSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-540-72700-2
  • Online ISBN 978-3-540-72701-9
  • Series Print ISSN 0170-8643
  • Buy this book on publisher's site