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研究了一类时变时滞不确定控制系统的鲁棒镇定性.该系统的不确定参数是时变未知但范数有界的.利用线性矩阵不等式和二次李雅普诺夫-克拉索夫斯基泛函,获得了具有任意有界时变时滞控制系统稳定的一些充分条件,并设计了状态反馈控制器,使相应闭环系统是鲁棒稳定的.最后,通过一个数值算例说明了所获得结果的有效性.
The robust stabilization for a class of uncertain systems with time-varying delays is studied. The uncertain parameters of the system are time-invariant but norm-bounded. Using the linear matrix inequalities and the second Lyapunov-Krafsfos Some sufficient conditions for the stability of the control system with arbitrary bounded time-varying delay are obtained. The state feedback controller is designed to make the corresponding closed-loop system robust and robust. Finally, a numerical example is given to illustrate the stability of the closed- Obtain the validity of the result.