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对一类具有饱和非线性状态约束的线性离散时间系统,研究其保性能状态反馈控制律设计问题.结合一个二次型性能指标,根据Lyapunov稳定性理论,基于线性矩阵不等式处理方法,提出状态反馈保性能控制律存在条件,并通过求解相应的线性矩阵不等式给出了保性能控制律的设计方法.最后给出一个数值算例验证了该方法的有效性.
For a class of linear discrete-time systems with saturated nonlinear state constraints, this paper studies the design of guaranteed state-feedback control law of guaranteed state. Combining with a quadratic performance index, according to the Lyapunov stability theory and linear matrix inequality (LMI) The existence of conditions for the control law of guaranteed cost and the design of guaranteed cost control law are given by solving the corresponding linear matrix inequalities. Finally, a numerical example is given to verify the effectiveness of the proposed method.