Title :
The notion of V-detectability and stabilization of invariant sets of nonlinear systems
Author_Institution :
Dept. of Eng. Cybern., Norwegian Univ. of Sci. & Technol., Trondheim, Norway
Abstract :
The problem of global (local) stabilizability of an invariant set of passive nonlinear controlled system is considered. A new notion of detectability of the zero value set of a smooth storage function is introduced. It is shown that this property plays the fundamental role in the solution of invariant set stabilization problems and in defining the global (local) stabilizing regulator. Sufficient conditions, implying that passive nonlinear system has a detectable zero value set for a smooth storage function, are proposed
Keywords :
asymptotic stability; nonlinear control systems; set theory; V-detectability; global stabilizability; invariant sets; local stabilizability; passive nonlinear controlled system; smooth storage function; stabilization; sufficient conditions; zero value set; Closed loop systems; Control systems; Cybernetics; Ear; Nonlinear control systems; Nonlinear systems; Output feedback; Regulators; State feedback; Sufficient conditions;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.757816