基于LMI方法的中频电源的动静态和鲁棒性能优化控制  

Dynamic and static and robust performance optimization control of medium frequency power supply based on LMI method

作　　者：张银锋 邵英[1] 李陆军[2] 孙盼[1] ZHANG Yin-feng;SHAO Ying;LI Lu-jun;SUN Pan(College of Electrical Engineering,Naval Univ.of Engineering,Wuhan 430033,China;Radar Sergeant School,Air Force Early Warning Academy,Wuhan 430019,China)

机构地区：[1]海军工程大学电气工程学院,武汉430033 [2]空军预警学院雷达士官学校,武汉430019

出　　处：《海军工程大学学报》2022年第4期80-86,共7页Journal of Naval University of Engineering

基　　金：博士后面上基金资助项目(2019M653924)。

摘　　要：为了使闭环系统实现无静差跟踪和渐进稳定,且具有动态响应速度快、良好的鲁棒性能以及抗负载扰动能力,将鲁棒伺服控制器和离散滑模控制器相结合的双环控制方法应用到中频电源中。首先,介绍了中频电源系统模型并对鲁棒伺服控制器和离散滑模控制器设计做了理论分析,通过系统矩阵维数增广将鲁棒控制问题转化为线性矩阵不等式凸优化问题;然后,利用YALMIP工具箱求解出状态反馈增益矩阵;最后,通过仿真软件和试验样机分别对整个系统进行了仿真和实验验证。结果表明:所设计的控制器使中频电源稳态输出电压在115±0.3 V以内,动态恢复时间不超过2 ms,在系统参数存在扰动时输出电压不受影响。In order to make the closed-loop system realize no static error tracking and asymptotic stability,and have fast dynamic response,good robust performance and anti load disturbance ability,A dual loop control method combining a robust servo controller and a discrete sliding mode controller was applied to medium frequency power supply.Firstly,the math model of medium frequency power supply system was introduced,and then the design of robust servo controller and discrete sliding mode controller were analyzed theoretically.The robust control problem was transformed into a convex optimization problem of linear matrix inequality by increasing the dimension of system matrix.Then the state feedback gain matrix was solved by using YALMIP toolbox.Finally,the whole system was simulated by simulation software and experimental prototype.The results show that the steady-state output voltage is within 115±0.3 V,the dynamic recovery time is less than 2 ms,and the output voltage is not affected when the system parameters are disturbed.

关 键 词：中频电源 鲁棒伺服控制 线性矩阵不等式 滑模控制 鲁棒D区域 

分 类 号：TM464[电气工程—电器]