Title :
Controller synthesis for piecewise affine slab differential inclusions: A duality-based convex optimization approach
Author :
Samadi, Behzad ; Rodrigues, Luis
Author_Institution :
Concordia Univ., Montreal
Abstract :
The first important contribution of this paper is to introduce for the first time a duality-based interpretation of piecewise affine (PWA) systems. This enables PWA controller synthesis to be formulated as a convex optimization problem. PWA L2-gain analysis and synthesis is also extended to PWA systems whose output is also a PWA function of the state (as opposed to a piecewise-linear function). In addition, a convex optimization program is proposed to compute a PWA differential inclusion for nonlinear systems for which the nonlinearity is a function of one variable. A numerical example illustrates the usefulness of the new approach.
Keywords :
control nonlinearities; control system synthesis; convex programming; duality (mathematics); linear matrix inequalities; nonlinear control systems; stability; L2-gain analysis; LMI; PWA; control nonlinearity; controller synthesis; duality-based convex optimization approach; nonlinear system; piecewise affine slab differential inclusion; piecewise affine system; stability; Control system synthesis; Industrial engineering; Lyapunov method; Nonlinear systems; Optimization methods; Performance analysis; Piecewise linear techniques; Slabs; Stability analysis; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434534
