离散系统降阶H_∞控制器的设计  

Design of reduced-order H_∞ controller for discrete system

作　　者：李吉祥[1] 武俊峰[1] 樊丽颖[2] 

机构地区：[1]哈尔滨理工大学自动化学院,黑龙江哈尔滨150080 [2]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《电机与控制学报》2011年第6期78-83,共6页Electric Machines and Control

基　　金：国家自然科学基金(50975068);黑龙江省自然科学基金(F200820)

摘　　要：针对离散控制系统,研究其降阶H∞控制器设计方法。首先,采用线性矩阵不等式方法,给出离散系统状态反馈H∞控制器存在的条件;利用离散系统H∞控制器可解的条件,研究离散系统的降维观测器设计方法;通过设计系统的降维观测器,使降维观测器的观测输出和系统的状态反馈输入误差趋于零,以降阶观测器的输出作为系统的控制输入,使闭环控制系统满足H∞控制条件;最后给出基于Sylvester方程和降阶观测器存在条件的降阶H∞控制器设计方法。仿真结果说明了设计方法的有效性。A reduced-order H∞controller for a discrete system was studied for discrete system.First,the existent condition of the state feedback H∞controller was proposed for the discrete system.A reduced-order observer was designed to make the error between the output of the controller and the input of the state feedback to zero by the existent condition of the controller.The system was controlled to satisfy the H∞ condition by the output of the reduce-order observer.Finally,the approach to design the H∞ controller for discrete system was presented by Sylvester equation and the condition of the H∞ controller,and a numerical example was given to show the feasibility of the proposed design approach.

关 键 词：离散系统 H∞控制 观测器 降阶 SYLVESTER方程 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]