【摘要】 讨论不确定离散时滞系统非脆弱控制器的设计问题.利用Lyapunov-Krasovskii稳定性理论和有限和不等式方法,获得了不确定时滞系统在非脆弱控制器作用下不仅内部渐近稳定,而且具有给定的H∞扰动抑制水平γ的时滞相关有界实条件.采用迭代算法分别给出了控制器具有加法不确定性和乘法不确定性两种情况的非脆弱控制器参数的设计方法,借助于Matlab的LMI工具箱可以方便求解.数值仿真实例表明了该方法的有效性.更多还原

【Abstract】 The problem of delay-dependent non-fragile H∞ control for uncertain discrete-delay systems is investigated.Based on an inequality method for finite sums,a delay-dependent boundary real lemma is obtained by using the Lyapunov-Krasovskii stability theory,which can ensure that the closed-loop system is internally stable with a given H∞ disturbance attenuation level via a non-fragile controller.Then the design of non-fragile H∞ controller is proposed by using iterative algorithm to additional and multiplicative uncertain cases.Linear matrix inequalities(LMI) in Matlab toolbox is applied to get the solution easily.Finally,a numerical simulation shows the effectiveness of this approach.更多还原