文献类型：期刊文献

英文题名：Robust H_∞ control for nonlinear stochastic systems:: A sliding-mode approach

作者：Niu, Yugang[1];Ho, Daniel W. C.[2];Wang, Xingyu[1]

机构：[1]E China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China;[2]City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

年份：2008

卷号：53

期号：7

起止页码：1695

外文期刊名：IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000259263900013)】；

基金：This work was supported in part by a grant from CityU (Project 7002208), by the China National Natural Science Foundation (60674015, 60674089), and by Shanghai Leading Academic Discipline Project (B504). Recommended by Associate Editor 1. Wang.

语种：英文

外文关键词：exogenous disturbance; nonlinear stochastic systems; sliding-mode control; H-infinity performance

摘要：This paper considers the sliding-mode control for nonlinear stochastic systems modeled by Ito stochastic differential equations. It is noted that there exist state and exogenous disturbance-dependent noise in the controlled systems. By utilizing H-infinity disturbance attenuation technique, a novel sliding-mode control method is proposed such that the resultant system is asymptotically stable in probability with a prescribed H-infinity performance. Sufficient conditions for the solvability of these problems are derived via nonlinear Hamilton-Jacobi (HJ)-type inequalities. Moreover, it is shown that for a class of special nonlinear stochastic systems, the H-infinity-sliding-mode control design can be obtained by solving linear matrix inequalities (LMIs). Finally, a numerical simulation example is given.