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Optimal Control of Constrained Piecewise Affine Systems

Author(s):

F.J. Christophersen
Conference/Journal:

vol. 359
Abstract:

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.

Further Information
Year:

2007
Type of Publication:

(02)Book
Supervisor:



No Files for download available.
@Book{Chr:OptConCPWA:2007,
  author       = {F. J. Christophersen},
  title	       = {{Optimal Control of Constrained Piecewise Affine
                  Systems}},
  publisher    = {{Springer Verlag}},
  year	       = 2007,
  volume       = 359,
  series       = {{Lecture Notes in Control and Information Sciences}},
  abstract     = {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.},
  isbn	       = {978-3-540-72700-2},
}
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