河北大学学报(自然科学版) ›› 2022, Vol. 42 ›› Issue (3): 314-320.DOI: 10.3969/j.issn.1000-1565.2022.03.014

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输入延迟系统的切换伪预测镇定控制器

梁家豪,唐予军,王霞   

  • 收稿日期:2021-02-04 出版日期:2022-05-25 发布日期:2022-06-16
  • 通讯作者: 唐予军(1979—)
  • 作者简介:梁家豪(1996—),男,河北保定人,河北大学在读硕士研究生.E-mail:410145061@qq.com
  • 基金资助:
    河北省自然科学基金面上项目(F2019201095);国家自然科学基金面上项目(11771115);国家自然科学基金青年项目(61903119);河北省省级科技计划项目(A2020201021)

Switching pseudo-predictive stabilization controller for input delay systems

LIANG Jiahao, TANG Yujun, WANG Xia   

  1. School of Electronic Information Engineering, Hebei University, Baoding 071002, China
  • Received:2021-02-04 Online:2022-05-25 Published:2022-06-16

摘要: 为一类具有输入延迟的系统设计切换伪预测器,在避免含有输入积分项的同时,实现了精确的状态预测,为应用非延迟系统的控制器设计方法提供了基础和依据,从而可简化闭环系统稳定性和动态性能分析.以控制量实际影响系统状态的时刻为界,将原系统划分为开环和闭环2个子系统,据此构造具有切换结构的伪预测器预测系统状态.利用预测状态为输入延迟线性系统设计镇定控制器,并证明了闭环系统的渐近稳定性.

关键词: 切换伪预测反馈控制器, 输入延迟系统, 系统镇定, Lyapunov-Krasovskii泛函

Abstract: A switching pseudo-predictor is designed for a class of systems with input delays to achieve accurate state prediction while avoiding the inclusion of input integral terms. It provides a basis and rationale for applying controller design methods of non-delayed systems, which can simplify the stability and dynamic performance analysis of closed-loop systems. The original system is divided into two subsystems, the open-loop one and the closed-loop one, bythe moment when the control quantity actually affects the system state, and a pseudo-predictor with switching structure is constructed to predict the system state accordingly.A stabilizing controller designed using the predicted state to design for the input delayed linear system and the asymptotic stability of the closed-loop system is demonstrated.

Key words: switching pseudo-predictive feedback controller, input delay system, system stabilization, Lyapunov-Krasovskii functional

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