Delay-Distribution-Dependent Robust H∞ Control for T-S Fuzzy Systems with Time-Varying Delay
In this paper, robust H∞ control for Takagi-Sugeno (T-S) fuzzy system with probabilistic interval timevarying state delay is considered. By considering the probability distribution properties of the time-varying delay taking values between the two given intervals, employing the parallel distributed compensation approach, a new state-space model whose system matrix contains random variables is proposed. Based on the new type of T-S model, resorting to linear matrix inequality (LMI) technique and Lyapunov-Krasovskii functional, the problem of delay-distribution-dependent stability criteria and H∞ controller synthesis is discussed. An illustrative example is proposed to show the effectiveness and feasibility of the proposed design method and can lead to less conservative result than using the traditional interval time-varying only.
Takagi-Sugeno(T-S)model probability distribution linear matrix inequality Lyapunov-Krasovskii unctional
Songlin Hu Jinliang Liu
Huazhong University of Science and Technology, Wuhan, 430074, P. R. China College of Information Science and Technology ,Donghua University, Shanghai, 201620, P. R.China
国际会议
The 22nd China Control and Decision Conference(2010年中国控制与决策会议)
徐州
英文
4078-4083
2010-05-26（万方平台首次上网日期，不代表论文的发表时间）