针对不确定时滞系统,应用鲁棒稳定与鲁棒性能准则约束条件,设计鲁棒性较强的非脆弱鲁棒控制器,使得当控制器本身在一定范围内变化时,仍能保证状态反馈闭环系统的稳定性和鲁棒性能指标,进而有效抑制扰动输入信号以及控制器参数变化对系统性能的影响.该控制器的设计过程充分考虑时滞的 影响,进而克服已有时滞无关型结论的保守性.最后利用线性矩阵不等式给出γ次优H∞鲁棒控制器设计方法.仿真结果表明所设计控制器的有效性和实用性.%For the time-delay systems with uncertainties, a non-fragile and robust controller was designed by robust stabilization and robust performance restriction rule. This controller is more robust than else. So that it can hold the stability and robust performance index of state feedback closed loop system with controller gain variations. Furthermore, the proposed method can effectively restrain the influences to system performance caused by disturbance input and uncertainty of controller parameter. During the course of designing controller, the delay in system was a major factor to be considered. So the proposed results overcome the conservativeness of existing delay independent results. Finally, the suboptimum H∞ state feedback controller was derived by the linear matrix inequalities (LMIs). The simulation results illustrate the validity and practicability of the proposed controller design method.
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