Finite-Time H∞ Control for Itô-Type Nonlinear Time-Delay Stochastic Systems

IEEE Access

Yunxia Song¹  Shiyu Zhong²  Min Zhang³  Zhiguo Yan³ 

[1] Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China;College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China;School of Electrical Engineering and Automation, Qilu University of Technology(Shandong Academy of Sciences), Jinan, China;

关键词: Stochastic systems;    nonlinear perturbations;    finite-time stability;    H∞ control;    time-delay;   

DOI  :  10.1109/ACCESS.2020.2991341

来源: DOAJ

【 摘 要 】

The finite-time H_∞ control problem for an Itô-type stochastic system with nonlinear perturbation and time delay is investigated. First, the finite-time H_∞ control problem for a nonlinear time-delay stochastic system is presented taking into consideration both the transient performance and the capability to attenuate the disturbance of a closed-loop system in a given finite-time interval. Second, using the Lyapunov-Krasoviskii functional method and the matrix inequality technique, some sufficient conditions for the existence of finite-time H_∞ state feedback controller and dynamic-output feedback controller for nonlinear time-delay stochastic systems are obtained. These conditions guarantee the mean-square finite-time bounded-ness of the closed-loop systems and determine the H_∞ control performance index. Third, this problem is transformed into an optimization problem with matrix inequality constraints, and the corresponding algorithms are given to optimize the H performance index and obtain the maximum time-delay. Finally, a numerical example is used to illustrate the effectiveness of the proposed method.

【 授权许可】

Unknown