滤波误差摄动动态系统的无记忆状态反馈控制器设计  

Design of Memoryless State Feedback Controller for Filtering Error Perturbation Dynamic System

作　　者：吴越 WU Yue(College of Mathematics,Jilin Normal University,Changchun 130000,China)

机构地区：[1]吉林师范大学数学学院,长春130000

出　　处：《白城师范学院学报》2022年第2期28-35,共8页Journal of Baicheng Normal University

摘　　要：文章通过对比较复杂的奇异摄动时滞滤波误差新的动态系统进行无记忆控制器设计,将新的带有控制输入和干扰输入的滤波误差动态系统增加了奇异摄动性和不确定性,基于选用适当的Lyapunov泛函,对泛函进行微分,通过运用线性矩阵不等式方法和交叉项界定法,研究滤波误差动态系统的控制器设计问题,推出该系统在时滞依赖和时滞独立情形下的控制器存在的充分条件.In this paper,a memoryless controller is constructed for the complex dynamic system with singular perturbation time-delay filtering error. The new dynamic system with filtering error with control input and interference input increases singular perturbation and uncertainty. Based on the selection of appropriate Lyapunov functional and differentiation of the functional,the controller design problem of filter error dynamic system is studied by using linear matrix inequality method and cross-term definition method,and the sufficient conditions for the existence of controller in the case of time-delay-dependent and time-delay-independent situations are deduced.

关 键 词：滤波误差动态系统 状态反馈控制器 交叉项界定方法 线性矩阵不等式 LYAPUNOV泛函 

分 类 号：TN713[电子电信—电路与系统]