不确定非线性时滞系统的时滞依赖保性能控制

Delay-dependent guaranteed cost control for uncertain nonlinear time-delay systems

文章针对一类基于T-S模型表示的具有时变状态时滞和范数有界不确定性非线性系统,研究了时滞依赖保性能模糊控制器设计问题,推导了此类不确定系统的时滞依赖保性能模糊控制器存在的充分条件,此充分条件等价于3类线性矩阵不等式的可解性;通过建立和求解线性矩阵不等式约束的凸优化问题,给出了最优保性能控制律的设计方法。

The design of a fuzzy guaranteed cost controller is studied for a class of nonlinear time-delay systems with norm-bounded uncertainty based on T-S model. The sufficient conditions are first derived for the existence of delay-dependent guaranteed cost fuzzy controllers. The sufficient conditions equal to three kinds of linear matrix inequalities. Furthermore, convex optimization with LMI constraints is formulated to design the optimal guaranteed cost controller.