Sliding mode control for singular stochastic systems under fractional Brownian motions

被引：0
|
作者：
Li M. [1 ]
Xie J. [1 ]
Kao Y.-G. [2 ]
Liu Z. [1 ]
机构：
[1] School of Information and Control Engineering, Qingdao University of Technology, Qingdao
[2] School of Science, Harbin Institute of Technology (Weihai), Weihai
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2021年 / 38卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Fractional Brownian motion; Observer; Singular stochastic system; Sliding mode control;
D O I：
10.7641/CTA.2021.00388
中图分类号：
学科分类号：
摘要：
The observer-based sliding mode control is investigated for time-delayed singular stochastic systems with the disturbance of fractional Brownian motions. Firstly, a state observer not driven by fractional Brownian motions is designed, and then an integral-type sliding mode surface function is given based on the observer. For the finite-time stochastic boundedness analysis, a new-type Lyapunov function with double integral is constructed to deal with fractional Brownian motions. Utilizing the principle of singular value decomposition, the design problem for the observer gain matrix is considered. Sufficient conditions are derived for the stochastic boundedness by linear matrix inequalities and the Gronwall inequality. And the reachability of the sliding mode surface in a finite time is analyzed. The last numerical simulation is given for the feasibility of the proposed approach. © 2021, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.
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页码：1947 / 1956
页数：9
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