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对一类具有范数有界时变参数不确定性的离散时间系统 ,研究设计一个输出反馈保性能控制器 ,使得闭环系统对所有允许的不确定性渐近稳定 ,且闭环性能指标值不超过某个确定的上界。基于线性矩阵不等式处理方法 ,证明了保性能控制器的存在性等价于一个线性矩阵不等式的可行性 ,并用该线性矩阵不等式的可行解给出了控制器的构造方法和闭环性能指标的上界
For a class of discrete-time systems with norm-bounded time-varying parameter uncertainties, an output feedback guaranteed cost controller is designed so that the closed-loop system is asymptotically stable for all allowable uncertainties and the closed-loop performance index does not exceed A definite upper bound Based on the method of linear matrix inequality (LMI), it is proved that the existence of guaranteed cost controller is equivalent to the feasibility of a linear matrix inequality. The feasible solution of the linear matrix inequalities is given and the upper bound of closed loop performance index