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饱和切换系统静态输出反馈控制器设计

岳永恒 王茂

哈尔滨工程大学学报2013,Vol.34Issue(3):318-324,7.
哈尔滨工程大学学报2013,Vol.34Issue(3):318-324,7.DOI:10.3969/j.issn.1006-7043.201205016

饱和切换系统静态输出反馈控制器设计

Static output feedback controller design of switched systems with a saturating actuator

岳永恒 1王茂1

作者信息

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摘要

Abstract

The saturating actuator is intended to increase static output feedback controller design difficulties. So the static output feedback controller design was studied for the purpose of developing switched systems with saturating actuator. According to Lyapunov's stability theory, using the related lemmas, iterative linear matrix inequality (IL-MI) technique and the cone complement method, allows for the optimal design method of solving the static output feedback controller, and assures a closed loop stability of control system. By using the ILMI technology, it can easily transform from double linear matrix inequalities (BMI) of linear matrix inequality ( LMI) , by alternatively solving " double variables " into LMI, which can gradually approach BIM constrain conditions by iterate. It can also design the static output feedback controller and related parameter to assure control system with locally asymptotically stability. The biggest domain of attraction with switched systems can be acquired in terms of the biggest domain of attraction with sub-systems. Numerical simulation results show that switched systems with saturating actuator have good overshoot and setting time and dynamicf performance, which is obviously superior to those sub-systems performances, with aid of multiply Lyapunovs switching law.

关键词

饱和输入/静态输出反馈/圆锥补算法/ILMI算法/多李亚普诺夫函数/吸引域/切换系统

Key words

saturating actuator/ static output feedback/ cone complement algorithm/ iterative LMI algorithm/ multi-Lyapunov functions/ domain of attraction/ switched systems

分类

信息技术与安全科学

引用本文复制引用

岳永恒,王茂..饱和切换系统静态输出反馈控制器设计[J].哈尔滨工程大学学报,2013,34(3):318-324,7.

基金项目

黑龙江省自然科学基金资助项目(E201013). (E201013)

哈尔滨工程大学学报

OA北大核心CSCDCSTPCD

1006-7043

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