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对于范数有界参数不确定线性离散时间系统,设计鲁棒状态反馈控制器,使得对所有允许的不确定性,闭环系统极点均落在给定的圆形稳定区域中,系统的某些输出指标满足给定的约束,且系统的性能指标具有最小上界.基于Lyapunov稳定性理论及线性矩阵不等式(LMI)方法,给出鲁棒次优保性能状态反馈控制器存在的充分条件,进而提出最优保性能控制器的设计方法.通过数值算例验证该方法的可行性.
For the norm-bounded parameter uncertain linear discrete-time systems, a robust state feedback controller is designed so that for all allowable uncertainties, the poles of the closed-loop system fall within a given circular stable region and some of the system’s outputs The index satisfies the given constraints, and the system performance index has the minimum upper bound.Based on the Lyapunov stability theory and the linear matrix inequality (LMI) method, sufficient conditions for the existence of robust sub-optimal guaranteed state-of- Design Method of Optimal Guaranteed Cost Controller. The numerical example is used to verify the feasibility of this method.