T-S模糊时滞系统的时滞相关保成本控制

Delay-Dependent Guaranteed Cost Control for T-S Fuzzy Systems with Time-Varying Delay

针对区间时滞是时变和未知的一类不确定T-S模糊时滞系统状态反馈保成本控制问题进行了研究。结合形式上更为一般的二次成本函数,利用Lyapunov稳定性理论和线性矩阵不等式方法给出了一类T-S模糊时滞系统保成本控制器存在的充分条件及状态反馈控制器的设计方法。所得到的保成本控制器确保闭环系统的渐近稳定性,同时提供了一个成本函数的上界。最后以一个数值例子验证了文中所提出的控制方法的有效性。

The problem of guaranteed cost control via state feedback is addressed and studied for a class of uncertain T - S time-delay systems based on T - S models. With a quadratic cost function in a more general form, a sufficient condition for the existence of guaranteed cost controller and the controller design scheme are proposed for T- S fuzzy time-delay systems in terms of Lyapunov stability theroy and LMI approach. The suggested guaranteed cost controller ensures the stability of fuzzy closed-loop systems, and gives an upper-bound for the given guaranteed cost function. Finally, a numerical example is used to show effectiveness of the method proposed in this paper.