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对状态矩阵具有不确定性的奇异周期时变系统的鲁棒非脆弱H∞控制问题进行了研究。提出参数不确定性奇异周期时变系统广义可镇定和广义二次可镇定且具有H∞性能指标的概念,利用线性矩阵不等式方法,得到了一类参数不确定性奇异周期时变系统广义二次可镇定且具有H∞性能指标γ的一个充分条件,分别给出了相应的控制器增益具有加法式摄动和乘法式摄动的鲁棒非脆弱H∞状态反馈控制律的设计方法,所得的状态反馈控制律使得闭环系统正则、稳定、无脉冲,而且具有给定的H∞性能指标。最后,通过数值算例说明了该方法的有效性。
The robust and non-fragile H∞ control problem for singularly periodic systems with uncertain state matrices is studied. The concept of generalized quasi-stationary and generalized quadratic calibratable and H∞ -properties for singular periodic systems with parametric uncertainties is proposed. By using the method of linear matrix inequalities, a class of singular periodic and time-varying systems with parametric uncertainties A sufficient condition that can be stablized and has a H∞ performance index γ is given, respectively, and a robust robust non-fragile H∞ state feedback control law with additive controller perturbation and additive perturbation is given. The state feedback control law makes the closed-loop system regular, stable and pulse-free, and has the given H∞ performance index. Finally, the numerical example shows the effectiveness of the method.