Title :
Convergent piecewise affine systems: analysis and design Part II: discontinuous case
Author :
Pavlov, Alexey ; Pogromsky, Alexander ; van de Wouw, N. ; Nijmeijer, Henk ; Rooda, Koos
Author_Institution :
Department of Engineering Cybernetics, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway. Alexey.Pavlov@itk.ntnu.no
Abstract :
In this paper convergence properties of piecewise affine (PWA) systems with discontinuous right-hand sides are studied. It is shown that for discontinuous PWA systems existence of a common quadratic Lyapunov function is not sufficient for convergence. For discontinuous bimodal PWA systems necessary and sufficient conditions for quadratic convergence, i.e. convergence with a quadratic Lyapunov function, are derived.
Keywords :
Computer aided software engineering; Control systems; Convergence; Lyapunov method; Nonlinear control systems; Nonlinear systems; Performance analysis; Steady-state; Sufficient conditions; Transfer functions;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583020
