时滞系统关于时滞参数的自适应输出反馈控制

对存在状态时滞的线性时滞系统，给出符合分离性原理的动态输出反馈控制器形式，当时滞参数不能精确已知时，给出基于观测器的关于时滞参数的自适应动态输出反馈控制器设计方案，通过求解两个相应的Riccati型矩阵不等式即可求得满足设计要求的动态输出反馈控制器及关于时滞参数的自适应律，且控制器的存在性与时滞参数精确已知时相同．最后给出了一个应用仿真示例．

Output-feedback adaptive control for delay parameters in time delay system

The dynamic output feedback controller which satisfies the separation principle for linear time-delay systems with delayed state is presented. The observer-based output feedback controller for delay parameter is given if the delay constant is not precisely known for linear time-delay system. The observer-based output feedback controller and the adaptive controller, which satisfy the requirement of the design, can be obtained by solving two Riccati matrix inequalities. The existence of the controller is equivalent to that of controller with known delay constant. A numerical example illustrats the application of the method.