Optimal control of constrained piecewise affine systems
[Book]
/ Frank J. Christophersen
Berlin ; New York
: Springer Verlag
, [2007].
xxvii, 189 p. , ill. (some col.) , 24 cm.
(Lecture notes in control and information sciences 0170-8643
; 359)
"This book is a revised and extended version of the author's PhD thesis written at the Automatic Control Laboratory of ETH Zurich in Switzerland."--P.i. Thesis issued under the title: Optimal control and analysis for contrained piecewise affine systems, Dr. Sc. ETH Zurich, 2006.
Electronic
Includes bibliographical references (p. [171]-181) and indexes.
I. Background -- 1. Mathematical necessities -- 2. Systems and control theory -- 3. Receding horizon control -- 4. Piecewise affine systems -- II. Optimal control of constrained piecewise affine systems -- 5. Introduction -- 6. Constrained finite time optimal control -- 7. Constrained infinite time optimal control -- III. Analysis and post-processing techniques for piecewise affine systems -- 8. Linear vector norms as Lyapunov functions -- 9. Stability analysis -- 10. Stability tubes -- 11. Efficient evaluation of piecewise control laws over a large number of polyhedra -- IV. Appendix -- A. Alternative proof of Lemma 7.7(a).