时变参数不确定离散时间系统的预见控制  

Preview control for discrete-time polytopic time-varying systems

作　　者：李丽 任祯琴[2] LI Li;REN Zhen-qin(School of Information Management and Statistics,Hubei University of Economics,Wuhan 430205,China;School of Information Technology,Luoyang Normal University,Luoyang 471934,China;Hubei Center for Date and Analysis,Hubei University of Economics,Wuhan 430205,China)

机构地区：[1]湖北经济学院信息管理与统计学院,武汉430205 [2]洛阳师范学院信息技术学院,河南洛阳471934 [3]湖北经济学院湖北数据与分析中心,武汉430205

出　　处：《控制与决策》2021年第12期3074-3082,共9页Control and Decision

基　　金：国家自然科学基金项目(61903130);湖北省自然科学基金项目(2019CFB227).

摘　　要：基于具有参数依赖的Lyapunov函数方法及LMI技巧,研究一类时变参数不确定离散时间系统的预见跟踪控制问题.首先,采用预见控制理论中误差系统的方法,引入两个与状态变量和输入变量有关的辅助信号,构造出包含未来目标值信号和干扰信号的信息的扩大误差系统,将原系统的预见跟踪问题转化为扩大误差系统的镇定问题;然后,针对扩大误差系统,考虑输出反馈时,通过改造输出方程融合可预见信号的未来信息.研究表明,通过求解LMI,即可确定静态输出反馈预见控制器增益矩阵的参数矩阵.数值仿真表明了结果的有效性.Based on the parameter-dependent Lyapunov function method with the LMI technique,this paper considers the preview tracking control problem of a class of discrete-time polytopic time-varying systems.Firstly,the error system method of the preview control theory is adopted and two auxiliary variables related to the system state and input are introduced.An augmented error system including previewed information is constructed,which transforms a tracking problem into a stabilization problem.Then,while considering the output feedback,a previewable reference signal is fully utilized through reformulation of the output equation for the derived augmented error system.The designed controller guarantees that the output can asymptotically track a given reference signal.Research shows that the static output preview controller parameter matrices can be achieved from the solution of LMIs problems.The numerical simulation example also illustrates the effectiveness of the desired preview controller.

关 键 词：扩大误差系统 预见控制 时变参数 不确定系统 输出反馈 预见跟踪 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]