不确定随机奇异时变时滞系统的鲁棒H_(∞)控制

Robust H_(∞)Control for Uncertain Stochastic Singular Systems with Time-Varying Delays

研究了不确定奇异时变时滞系统的鲁棒H_(∞)控制问题.通过构造李雅普诺夫泛函,应用自由矩阵不等式和伊藤公式,设计了确保闭环系统对所有不确定性鲁棒均方可容许并且具有H_(∞)性能指标γ的控制器.最后的数值实例验证了该方法的有效性.

This article deals with the problem of robust H_(∞)control for uncertain stochastic singular systems with time-varying delays.By constructing Lyapunov functional and employing improved free matrix inequality and Itô’s formula,a state feedback controller is designed to ensure that the resulting closed-loop system is robustly mean-square admissible for all uncertainties and has an H_(∞)performance indexγ.Finally,an illustrative example is given to demonstrate the effectiveness of the present method.