基于模糊T-S模型的非线性系统的H_∞鲁棒容错控制

H_∞ robust tolerant control for a class of nonlinear systems based on fuzzy T-S model

研究一类具有不确定和时滞的非线性系统的H∞鲁棒容错控制问题.采用T-S模糊模型来描述非线性系统,在系统执行器失效的情况下,建立故障矩阵模型;通过引进自由加权矩阵,基于Lyapunov稳定性理论和LMI(线性矩阵不等式)方法,给出系统H∞鲁棒容错控制器存在的充分条件,保证了系统的鲁棒稳定性.仿真实例验证了该方法的有效性.

The problems of H robust tolerant control for a class of delays are studied. The T-S fuzzy model is adopted to describe the nonlinear systems with uncertainties and time nonlinear system. The actuator fault model is established for the actuator fault of systems. By introducing some free-weighting matrices, a sufficient condition is given based on Lyapunov stability theory and linear matrix inequality method（LMl） for the existence of the H robust tolerant control law, which can guarantee the robust stability of system. Simulation results show the effectiveness of the proposed approach.