针对一类带有非线性扰动的不确定奇异时滞系统,基于Lyapunov稳定性理论和线性矩阵不等式处理方法,给出系统鲁棒保性能状态反馈控制器存在的充分条件和设计方法.所设计的保性能控制器保证了对所有容许的不确定性,不仅使得相应的闭环系统达到二次稳定,同时保证闭环性能指标函数具有上界.最后,通过仿真实例说明了所给方法的有效性.
The guaranteed cost control problem was studied regarding a class of uncertain singular time-delay systems with nonlinear perturbation. Based on the Lyapunov stability theory and the linear matrix inequality approach, the sufficient condition and conformation approach of the guaranteed cost controller was given, which could make the closed-loop systems quadratic stable for all admissible uncertainties, as well as guarantying the cost was bounded in a limitation. Finally, an example's result showed the efficiency of this method.