一类不确定时滞模糊系统的鲁棒H_∞控制

Robust H_∞ Control of a Class of Uncertain Time-delay Fuzzy Systems

对于一类不确定非线性时滞系统,研究使系统二次稳定的状态反馈控制方法。利用T-S模糊模型对时变时滞不确定非线性系统进行建模,采取分段光滑(PSQ)的Lyapunov函数和线性矩阵不等式方法给出使系统二次稳定的模糊状态反馈控制器存在的充分条件,避免并行补偿法中求解公共矩阵P的困难。仿真试验证明,通过该方法设计的控制器具有良好的鲁棒性,控制效果良好。

For a class of uncertain nonlinear time- delay systems, a state feedback control method which cause the system quadratie stabilization is proposed. An equivalent T - S fuzzy model is applied to the fuzzy modeling of the Time - Varying, uncertain and nonlinear system with time- delay, then adopting the PSQ Lyapunov function and linear matrix inequalities, on the existing of fuzzy state feedback controller, a sufficient condition which causes the system quadratic stabilization is proposed, the difficulty of solving common matrix P by using parallel distributed compensation is avoided. The simulation result shows that the robust control system adopting the designed method has good performance and robust capability.