Resilient finite-time controller design of a class of stochastic nonlinear systems. (English) Zbl 1406.93311

Yan, Zhiguo

Abstr. Appl. Anal. 2014, Article ID 791409, 9 p. (2014).

Summary: This paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite-time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double-parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method.

MSC:

93E03	Stochastic systems in control theory (general)
93C10	Nonlinear systems in control theory
93B51	Design techniques (robust design, computer-aided design, etc.)
93B52	Feedback control

Keywords:

finite-time controller design; stochastic nonlinear systems; resilient state feedback

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