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讨论了不确定中立型时滞广义系统非脆弱控制器设计问题,利用Lyapunov-Krasovskii稳定性理论和模型转换方法,获得了不确定中立型时滞广义系统,其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的时滞相关条件。然后,针对控制器具有加法不确定性和乘法不确定性两种情况,分别给出了非脆弱控制器的设计方法,利用Matlab的LMI工具箱可方便求解。数值仿真实例说明了该方法的有效性。
In this paper, we discuss the design of non-fragile controller for uncertain system with uncertain neutral delay. By using the Lyapunov-Krasovskii stability theory and the model transformation method, we obtain the uncertain neutral-delay singular system. Under the action of non-fragile controller, Asymptotically stable, but also with a given H∞ disturbance rejection level γ delay-dependent conditions. Then, for the controller with additive uncertainty and multiplicative uncertainty, the design methods of non-fragile controller are given respectively. The LMI toolbox of Matlab can be easily solved. The numerical simulation shows the effectiveness of this method.