离散系统动态输出反馈保成本控制设计

Dynamic Output Feedback Guaranteed Cost Control for Discrete Systems

讨论了离散系统的输出反馈保成本控制问题,根据线性矩阵不等式(LMI)方法得到动态输出反馈控制律存在的充要条件,由LMI的解给出了该控制律的设计方法,同时使得对所允许的不确定性参数闭环系统稳定,且使得其性能指标不大于某个给定的上界。最后给出了该控制律的算法。

We deal with the guaranteed cost control for a class of uncertain discrete time linear sys- tems with closed-loop disk pole constraints. A design procedure for dynamic output feedback controller is derived which renders the closed-loop systems to be stability and guarantees an upper boundary of the given performance cost for all admissible uncertainties. The existence of the guaranteed cost control is shown to be equivalent to the feasibility of a certain linear matrix inequality, and the dynamic output feedback controller can be constructed in terms of the feasible solutions to this linear matrix inequality. Finally, the algorithm of the controller is given.