平稳切换LPV系统的H_(∞)控制器设计  

Design of H_(∞) controller for smooth switching LPV systems

作　　者：黄金杰[1,2,3] 宫煜晴 郝现志 HUANG Jin-jie;GONG Yu-qing;HAO Xian-zhi(School of Automation,Harbin University of Science and Technology,Harbin 150080,China;School of Computer Science and Technology,HarbinUniversity of Science and Technology,Harbin 150080,China;Heilongjiang Provincial Key Laboratory of Complex Intelligent System and Integration,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学自动化学院,哈尔滨150080 [2]哈尔滨理工大学计算机科学与技术学院,哈尔滨150080 [3]黑龙江省复杂智能系统与集成重点实验室,哈尔滨150080

出　　处：《控制与决策》2022年第5期1167-1173,共7页Control and Decision

基　　金：国家自然科学基金项目(61305001);黑龙江省自然科学基金项目(F201222)。

摘　　要：提出一种基于平稳切换策略的LPV系统状态反馈H;控制器设计方法,以抑制子系统切换产生的瞬态响应.将时变参数变化范围划分为有限个具有重叠区域的子空间,应用Lyapunov函数和投影定理,对子空间设计相应的状态反馈控制器,并在非重叠区域调用.在重叠区域内加权调用相邻子空间的控制器,结合平均驻留时间方法,使系统满足全局一致指数稳定.此外,提出一种重叠率可变的子空间划分方法.最后,通过数值仿真验证所提出方法的有效性.A state feedback H;controller design method for LPV systems based on smooth switching strategy is proposed to moderate the transient response of controllers switching.The range of time-varying parameters is divided into finite subspaces with overlapping regions.Using the Lyapunov function and projection theorem,the state feedback controllers are designed for subspaces.The controllers are adopted in non overlapping regions and weighted in overlapping regions of adjacent subspaces.Combined with the average dwell time method,the system satisfies global uniform exponential stability.In addition,a subspace partition method with variable overlap rate is proposed.Finally,the effectiveness of the proposed method is verified by a simulation example.

关 键 词：平稳切换 LPV系统 投影定理 平均驻留时间 子空间划分 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]