Robust H∞ Control of Nonlinear Stochastic Systems Based on Stochastic Fuzzy Hyperbolic Model

摘要：

This paper is concerned with the problem of robust H∞ control of nonlinear stochastic systems with timevarying interval delay. Firstly, a novel kind of fuzzy model, stochastic fuzzy hyperbolic model (SFHM), is proposed to represent a class of nonlinear stochastic systems with timevarying interval delay. The SFHM is a overall nonlinear stochastic model, which is much fitter for the nonlinear multivariable plant whose expert knowledge is dif.cult to. nd. The identi.cation of SFHM is more convenient than that of stochastic T-S fuzzy model. Speci.cally, it also can be seen as a neural network model and we can learn the model parameters by the learning method of neural network. Secondly, delayrange dependent and delay-derivative-range-dependent criteria on stability and H∞ performance are developed for the SFHM by using new Lyapunov-Krasovskii functionals and improved free-weighting matrix technique for the SFHM case. Finally, simulation results show the validity of the proposed method.

关键词： Stochastic fuzzy hyperbolic model (SFHM) time-delay H ∞ control LMI free-weighting matrix

作者: Jun Yang Yizhong Wang Qiuye Sun Dongsheng Yang

作者单位: College of Information Science and Engineering,Northeastern University,Shenyang,Liaoning,110819,Chin Shandong University of Science and Technology,Taian,Shandong,271019,China

会议类型: 国际会议

会议名称: 2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)

会议地点: 四川绵阳

会议语种:英文

页码: 3506-3511

在线出版日期: 2011-05-23（万方平台首次上网日期，不代表论文的发表时间）