Robust sliding mode control of general time-varying delay stochastic systems with structural uncertainties  

作　　者：Sheng-Guo WANG Libin BAI Mingzhi CHEN 

机构地区：[1]Department of Engineering Technology and Department of Software and Information Systems (Graduate Faculty),University of North Carolina at Charlotte (UNC Charlotte) [2]Department of Software and Information Systems,UNC Charlotte, NC 28223-0001, U.S.A. [3]College of Mathematics and Computer Science, Fuzhou University

出　　处：《Control Theory and Technology》2014年第4期357-367,共11页控制理论与技术（英文版）

基　　金：partially supported by the National Science Foundation Grants(Nos.0940662,1115564)of Prof.S.-G.Wang

摘　　要：This paper presents a new robust sliding mode control （SMC） method with well-developed theoretical proof for general uncertain time-varying delay stochastic systems with structural uncertainties and the Brownian noise （Wiener process）. The key features of the proposed method are to apply singular value decomposition （SVD） to all structural uncertainties and to introduce adjustable parameters for control design along with the SMC method. It leads to a less-conservative condition for robust stability and a new robust controller for the general uncertain stochastic systems via linear matrix inequality （LMI） forms. The system states are able to reach the SMC switching surface as guaranteed in probability 1. Furthermore, it is theoretically proved that the proposed method with the SVD and adjustable parameters is less conservatism than the method without the SVD. The paper is mainly to provide all strict theoretical proofs for the method and results.This paper presents a new robust sliding mode control （SMC） method with well-developed theoretical proof for general uncertain time-varying delay stochastic systems with structural uncertainties and the Brownian noise （Wiener process）. The key features of the proposed method are to apply singular value decomposition （SVD） to all structural uncertainties and to introduce adjustable parameters for control design along with the SMC method. It leads to a less-conservative condition for robust stability and a new robust controller for the general uncertain stochastic systems via linear matrix inequality （LMI） forms. The system states are able to reach the SMC switching surface as guaranteed in probability 1. Furthermore, it is theoretically proved that the proposed method with the SVD and adjustable parameters is less conservatism than the method without the SVD. The paper is mainly to provide all strict theoretical proofs for the method and results.

关 键 词：Robust control Time-varying delay systems Stochastic systems Lyapunov methods Sliding mode control Time-varying systems 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]