不确定时滞系统具α-γ保性能性质的H_∞控制器设计

Design of H_∞ Controller with Property of α-γ Guaranteed Cost for Uncertain Time-delay Systems

针对一类不确定时滞系统 ,通过对其状态的变换和对干扰量的滤波处理 ,在给出α-γ保性能性质定义的基础上 ,利用状态空间的 L yapunov泛函方法 ,给出了闭环系统满足给定定义时的充分条件 ,并应用条件最优化综合方法 ,给出了保性能 H∞

Sufficient conditions are presented which satisfy the given definition of property of α-γ guaranteed cost for a class of uncertain time-delay systems via state space Lyapunov′s function and by transforming system state and filtering perturbations. The design method of H ∞ controller is developed by using the optimization method with constrained conditions.