Title :
Passivity and feedback design of nonlinear stochastic systems
Author :
Lin, Zhongwei ; Lin, Yan
Author_Institution :
Sch. of Autom., Beijing Univ. of Aeronaut. & Astronaut., Beijing, China
Abstract :
In this paper, the problem of feedback equivalence to a passive system is studied for a class of nonlinear stochastic systems. Based on a nonlinear stochastic KYP lemma, we investigate the relationship between a passive system and the corresponding zero-output system, which sustains a different result from the deterministic case. Following the stochastic passivity theory, a sufficient condition is given for global stabilization of this class of nonlinear stochastic systems.
Keywords :
feedback; nonlinear systems; stability; stochastic systems; feedback design; feedback equivalence; global stabilization; nonlinear stochastic KYP lemma; nonlinear stochastic systems; passive system; stochastic passivity theory; zero-output system; Automation; Control systems; Control theory; Educational institutions; Nonlinear systems; Stability; State feedback; Stochastic systems; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399992