T-S模糊随机时滞系统的鲁棒控制

Robust Control of T-S Fuzzy Stochastic System with Time-Delay

基于T-S模糊模型讨论具有参数不确定性和变时滞的随机非线性系统的时滞相关鲁棒控制器设计问题.基于Lyapunov稳定性理论、Schur补引理、Jensen积分不等式和自由权矩阵方法以及It公式,利用并行分布补偿(PDC)法,以线性矩阵不等式(LMI)的形式给出控制器存在的充分条件,以保证对所允许的不确定性,当LMIs可行时即可构造出相应的状态反馈控制律.最后,给出数值算例验证所提出方法的有效性.

Based on the T-S model, it researches the problem with delay-dependent robust fuzzy control for stochastic nonlinear systems with parameter uncertainty and time-varying delay. According to theories and approaches of Lyapunov stability, Schur complement lemma, Jensen integral inequality and free weighting matrices and It6 formula, the system controller was designed for all admissible uncertainties by using the PDC method. When the LMIs were feasible, the desired state feedback controller could be con- strueted. Finally, the numerical example was given to demonstrate the effectiveness of the method.