不确定时滞系统的鲁棒稳定性研究

基于Layunov稳定性理论,研究了不确定性不满足匹配条件的时滞系统鲁棒稳定性问题.采用线性矩阵不等式方法,提出了不确定时滞系统鲁棒稳定控制器存在的充分条件,并给出使得闭环系统鲁棒稳定的状态反馈控制律设计方法.最后数值实例的仿真结果验证了文中设计方法的正确性。

Research of robust stability for uncertain time-delay systems

For a class of uncertain time-delay systems with uncertainties which do not satisfy matching conditions,the problem of robustness stability is studied based on the Lyapunov stable theory.By means of linear matrix inequality approach,a sufficient condition of the existence of the robustly stable controllers for the uncertain time-delay systems is put forward,and the design method of state feedback controllers is obtained such that the closed-loop uncertain systems are robustly stable.Finally,Simulations of a numerical example indicate the validity of the proposed methods.