摘要
讨论不确定时滞系统的非脆弱无源控制设计问题。利用Lyapunov-Krasovskii稳定性理论和积分不等式方法,获得了不确定时滞系统的非脆弱无源时滞相关条件,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,分别给出非脆弱无源控制器的设计方法,并利用MATLAB中的LMI工具箱对其求解。数值仿真实例说明了该方法的有效性。
The problem of delay-dependent non-fragile passive control for uncertain time-delay systems is consid- ered. Based on Lyapunov-Krasovskii stability theory and an integral inequality method, non-fragile passive delay- dependent conditions for uncertain time-delay systems are obtained. Then a method to design non-fragile passive controller with additive and multiplicative uncertainties is proposed, respectively. It can be easily solved by using the LMI toolbox in MATLAB. Finally, a numerical simulation is given to show the validity of this approach.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2013年第6期729-736,共8页
Journal of Natural Science of Heilongjiang University
基金
黑龙江省教育厅科学技术研究项目(12521437)
