摘要
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。
This paper deals with the problem of non-fragile delay-dependent robust control for neutral type descriptor systems. Based on model transformation, a delay-dependent condition, which can ensure that the closed-loop system is internally stable with a given H-infinite disturbance attenuation level via a non-fragile controller, is obtained by using the Lyapunov-Krasovskii stability theory. Then, the design of non-fragile robust H∞ controller is presented. It can be easily solved in terms of linear matrix inequalities （LMI） in Matlah toolbox. Finally, a numerical example is presented to illustrate the validity of the approach.
出处
《武汉理工大学学报》
CAS
CSCD
北大核心
2011年第10期140-144,共5页
Journal of Wuhan University of Technology
基金
国家自然科学基金(60974004)
关键词
不确定
中立型广义系统
时滞相关
非脆弱
鲁棒H∞控制
uncertainty
neutral descriptor systems
delay-dependent
non-fragile
robust H∞ control
