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摘要: 针对一类具有范数有界不确定性和状态滞后的离散时间线性系统,结合一个二次型 性能指标,采用线性矩阵不等式方法,提出了无记忆状态反馈保性能控制律的存在条件,并利 用一个线性矩阵不等式的解给出了保性能控制律的一个参数化表示.Abstract: This paper deals with the guaranteed cost control problem for discrete-time linear systems with norm-bounded uncertainties and delayed state, together with a given quadratic performance index. A sufficient condition is presented for the existence of memoryless state feedback guaranteed cost control laws and a parametrized representation of the guaranteed cost control laws is given in terms of the feasible solutions to a certain linear matrix inequality.
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