ENGLISH

Optimal Control of Constrained Piecewise Affine Systems

By Frank Christophersen

Book information

Publisher
Springer
Year
2007
ISBN
3540727000, 9783540727002
Language
english
Format
PDF
Filesize
2 MB (2468384 bytes)
Series
Lecture Notes in Control and Information Sciences
Edition
1
Pages
206\206
Orientation
no
Scanned
no
Time added
2011-08-31 04:54:40

Description

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 someperformance 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 affinesystems 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 thecontrollers and part three presents different analysis and post-processing techniques.

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