Robust H∞ adaptive control for the stochastic interval systems

摘要：

This paper deals with the problem of Robust H∞ adaptive control for the stochastic interval systems. It is assumed that the unknown nonlinear delayed state perturbations are norm-bounded and the gains are unknown. Based on linear matrix inequality (LMI) and Lyapunov-Krasovskii approaches, the robust stochastic stabilization problem we address is to design an adaptive controller such that the closed-loop system is asymptotically stable in mean square. In the robust H∞ adaptive control problem, the corresponding controller is presented which is dependent on time delay and can render the closed-loop system asymptotically stable in mean square with a pre-specified disturbance attenuation coefficient . A novel adaptive law is proposed for dealing with adaptive parameter in the adjustable output. Finally, a simulation result has been given to show the effectiveness of the proposed control scheme.presented which is dependent on time delay and can render the closed-loop system asymptotically stable in mean square with a pre-specified H∞ disturbance attenuation coefficientγ . A novel adaptive law is proposed for dealing with adaptive parameter in the adjustable output. Finally, a simulation result has been given to show the effectiveness of theproposed control scheme.

关键词： Linear matrix inequality robust adaptive control stochastic systems time-delay.

作者: Yizhong Wang Huaguang Zhang

作者单位: School of Information Science and Engineeing Northeastern University Shenyang 110004, P.R. China Department of Basic Courses Shandong University of Science and Technology Taian 271021, P.R. China

会议类型: 国际会议

会议名称: 2007 Conference on Systems Science, Management Science and System Dynamics(第二届系统科学、管理科学与系统动力学国际会议)

会议地点: 上海

会议语种:英文

页码: 2189-2196

在线出版日期: 2007-10-19（万方平台首次上网日期，不代表论文的发表时间）