DocumentCode :
2917442
Title :
Constructive design method of stochastic continuous feedback laws for stabilization of deterministic nonlinear systems
Author :
Hoshino, Kenji ; Nishimura, Yasutaro ; Yamashita, Yukihiko ; Tsubakino, Daisuke
Author_Institution :
Grad. Sch. of Inf. Sci. & Technol., Hokkaido Univ., Sapporo, Japan
fYear :
2013
fDate :
17-19 June 2013
Firstpage :
6424
Lastpage :
6429
Abstract :
The purpose of this paper is to present a constructive design method of a stochastic feedback law for a deterministic nonlinear affine system. This design method gives a feedback law in the case that a randomized system is given as a Stratonovich-type stochastic differential equation, based on a result of Wong and Zakai. It is proved that a designed feedback law can globally asymptotically stabilize a randomized system with probability one. The design method employs a notion of a stochastic control Lyapunov function and the so-called Sontag´s formula. The method in this paper aims the stabilization of nonholomic systems and non-Euclidean systems, which cannot be stabilized by any continuously differentiable time-invariant feedback laws. We can obtain a continuous feedback law for a state variable in the stabilization of such systems.
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; differential equations; feedback; nonlinear control systems; probability; stochastic systems; Sontag formula; Stratonovich-type stochastic differential equation; constructive design method; deterministic nonlinear affine system; global asymptotic stabilization; nonEuclidean system stabilization; nonholomic system stabilization; probability; randomized system; state variable; stochastic continuous feedback laws; stochastic control Lyapunov function; Aerospace electronics; Approximation methods; Design methodology; Differential equations; Lyapunov methods; Stochastic systems; White noise;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2013
Conference_Location :
Washington, DC
ISSN :
0743-1619
Print_ISBN :
978-1-4799-0177-7
Type :
conf
DOI :
10.1109/ACC.2013.6580846
Filename :
6580846
Link To Document :
بازگشت