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针对一类混合中立型时滞系统,研究了系统的鲁棒非脆弱H∞控制问题。在时滞相关有界实引理的基础上,采用矩阵的合同变换以及变量替代技巧将非线性矩阵不等式转化为LMI,通过求解LMI的可行解得到相应的非脆弱H∞控制器的解。设计数值仿真验证了控制器的有效性,仿真表明,当系统参数和控制器增益存在一定的摄动时,控制器能满足一定的性能指标,具有更强的鲁棒性。
For a class of hybrid neutral delay systems, the robust and non-fragile H∞ control problem of the system is studied. Based on the bounded real lemmas with delay, matrix inequality transformation and variable substitution techniques are used to transform the nonlinear matrix inequalities into LMIs, and the solutions of the corresponding non-fragile H∞ controllers are obtained by solving the feasible solution of LMI. The numerical simulation of the design verifies the effectiveness of the controller. The simulation shows that the controller can meet certain performance requirements and has better robustness when the system parameters and controller gain have some perturbations.