不确定非线性系统的时滞依赖保性能控制

针对一类基于T-S模糊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。对于用T-S模糊模型表示的非线性时滞系统，已知系统的时变时滞本身及其变化率的上界，采用并行分散补偿技术，通过选取合适的Lyapunov函数，推导了依赖时滞上界及变化率上界的时滞保性能模糊控制器存在的充分条件，进而通过建立和求解LMI（线性矩阵不等式）约束的凸优化问题，给出了保性能控制律的设计方法。数值算例表明了该方法的有效性。

Delay Dependent Guaranteed Cost Control for Uncertain Nonlinear Systems

The problem of designing a fuzzy guaranteed cost controller is studied for a class of nonlinear time-delay systems with norm-bounded uncertainty based on T-S model.When the upper bound of the time-varying time-delay and the varying value are known,the sufficient conditions are derived for the existence of delay-dependent guaranteed cost fuzzy controllers.Furthermore,a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller.Numerical example shows the effectiveness of the proposed method.