不确定时滞系统的鲁棒稳定性研究

Research of robust stability for uncertain time-delay systems

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.

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.