Title :
Synthesis of piecewise-affine controllers for stabilization of nonlinear systems
Author :
Rodrigues, Luis ; How, Jonathan P.
Author_Institution :
Dept. Mech. & Ind. Eng., Concordia Univ., Montreal, Que., Canada
Abstract :
This paper presents conditions under which the feedback interconnection of a nonlinear plant and a piecewise-affine controller is stable. The piecewise-affine controller is designed for a piecewise-affine approximation of the nonlinear dynamics. The design is based on previous work of the authors. The paper also shows how to use differential inclusions to design piecewise-affine controllers for stabilization of nonlinear systems. A numerical example is provided to illustrate the procedure.
Keywords :
control system synthesis; nonlinear control systems; piecewise linear techniques; stability; differential inclusions; feedback interconnection; nonlinear plant; nonlinear systems stability; piecewise-affine approximation; piecewise-affine controllers; Aerodynamics; Control design; Control system synthesis; Control systems; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability; State feedback;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272922
