论文部分内容阅读
针对一类具有多输入时滞并且范数有界的不确定参数的奇异系统,对鲁棒H∞保成本控制问题进行了研究.利用李亚普诺夫泛函和线性矩阵不等式(LMI)工具,首先给出了标称系统的鲁棒H∞保成本控制律存在的时滞依赖充分条件,然后将鲁棒保成本控制律的概念推广到具有多输入时滞的不确定奇异系统,并利用线性矩阵不等式可行解给出了控制律的设计方法和相应的性能指标上界.最后的仿真算例验证了该方法的有效性.
For a class of singular systems with uncertain input parameters and multiple input bounded uncertainties, a robust H∞ guaranteed cost control problem is studied. By using Lyapunov functional and linear matrix inequality (LMI) The sufficient conditions for the existence of delay-dependent robust H∞ guaranteed cost control laws for nominal systems are given. Then the notion of robust guaranteed cost control law is extended to an uncertain singular system with multiple input delays. The linear matrix Inequality feasible solution gives the design method of control law and corresponding upper bound of performance index.The last simulation example verifies the effectiveness of this method.