时变参数不确定离散时间系统的预见控制
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作者单位:

1.湖北经济学院;2.洛阳师范学院

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TP273

基金项目:

国家自然科学基金项目(面上项目,重点项目,重大项目)


Preview control for discrete-time polytopic time-varying systems
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Affiliation:

1.Hubei University of Economics;2.Luoyang Normal University

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    摘要:

    基于具有参数依赖的Lyapunov函数方法及LMI技巧, 本文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, 针对所推导的扩大误差系统, 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. 数值仿真表明本文结果的有效性.

    Abstract:

    Based on 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. First, the error system method of preview control theory is adopted and two auxiliary variables related to the system state and input are introduced. And then 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 illustrate the superiority of the desired preview controller in the article.

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历史
  • 收稿日期:2020-04-01
  • 最后修改日期:2020-11-01
  • 录用日期:2020-09-08
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