Title :
Observer-based control of piecewise-affine systems
Author :
Rodrigues, Luis ; How, Jonathan P.
Abstract :
Previous work by the authors presented a new synthesis method for both state and output feedback controller design for piecewise-affine systems. The control strategy was shown to perform. effectively in several examples. However, its theoretical properties were only investigated for a very specific case based on two implicit assumptions: (i) the absence of sliding modes at the hyperplane boundaries between regions with different affine dynamics; and (ii) the fact that both the plant and the controller started in the same region and always switched regions at the same time. The current paper addresses the problems that can arise when these assumptions are violated, and it presents, for the first time, a rigorous and general analysis of the stability of the closed-loop system when the assumptions are removed
Keywords :
closed loop systems; controllers; feedback; observers; optimisation; state feedback; closed-loop system; observer-based control; output feedback controller design; piecewise-affine systems; stability; state feedback controller design; Aerodynamics; Control system synthesis; Control systems; Extraterrestrial measurements; Nonlinear dynamical systems; Output feedback; Power system modeling; Sliding mode control; Stability analysis; State-space methods;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.981080
