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利用公共Lyapunov泛函方法和凸组合技术研究了一类不确定时变时滞切换广义系统的鲁棒H∞保性能控制和状态反馈镇定问题.在设定的切换规则下,给出了基于线性矩阵不等式表示的鲁棒H∞保性能控制器存在的充分条件,保证了系统具有鲁棒H∞干扰抑制水平及状态反馈可切换镇定的同时满足保性能指标.最后的仿真示例验证了该方法的有效性.
In this paper, we study the robust H∞ guaranteed cost control and the state feedback stabilization for a class of singular systems with uncertain time-varying delay by using the generalized Lyapunov functional method and convex combinatorial technique. Under the given switching rules, The sufficient conditions for the existence of the robust H∞ guaranteed cost controller represented by the matrix inequality guarantee that the system has robust H∞ interference suppression level and state feedback switchable stabilization while satisfying the guaranteed performance index.The last simulation example validates the proposed method Effectiveness.