基于广义扩张状态观测器的干扰不匹配离散系统状态反馈控制

针对一类干扰不匹配的线性离散时间系统, 研究基于广义扩张状态观测器的稳定化状态反馈控制器设计问题. 在经典的自抗扰控制器中, 扩张状态观测器主要针对干扰匹配的积分串联型系统. 然而, 在许多实际系统中往往存在干扰不匹配的情况, 例如存在采样抖动的离散时间控制系统. 针对这一问题, 基于一类存在不匹配干扰的离散时间系统, 提出广义扩张状态观测器和相应的稳定化状态反馈控制器设计方法. 最后通过永磁同步电机调速控制仿真实例验证了所设计的观测器和控制器的有效性.

Generalized extended state observer based state feedback control for discrete systems with mismatched disturbances

This paper investigates the stabilizing state feedback controller design problem for a class of discrete-time systems with mismatched disturbances based on generalized extended state observers. In the traditional active disturbance rejection controller, the extended state observer is designed for systems with matched disturbances and integral series structure. However, in many practical applications, the disturbances are usually mismatched, for example, in discrete-time systems with sampling chattering. Therefore, a design method is presented for generalized extended state observers and corresponding stabilizing state feedback controllers for a class of discrete-time systems with mismatched disturbances. A simulation example of the speed regulator for the permanent magnetic synchronous motor is presented to illustrate the effectiveness of the proposed observer and controller.