Improved dynamic anti-windup design for single input linear systems

被引：0
|
作者：
Jiang Z.-Y. [1 ]
Yan P. [2 ]
机构：
[1] School of Automation Science and Electrical Engineering, Beihang University, Beijing
[2] Key Laboratory of High-Efficiency and Clean Mechanical Manufacture, Ministry of Education, School of Mechanical Engineering, Shandong University, Shandong, Jinan
来源：
Kongzhi Lilun Yu Yingyong/Control Theory and Applications | 2023年 / 40卷 / 05期
基金：
中国国家自然科学基金;
关键词：
dynamic anti-windup; piezoelectric nano-motion platform; state reset; time-dependent Lyapunov function;
D O I：
10.7641/CTA.2021.10343
中图分类号：
学科分类号：
摘要：
Based on the improved dynamic anti-windup compensation scheme with the state reset, the anti-windup control problem of the linear saturation systems with single input is studied in this paper. Compared with the traditional dynamic anti-windup compensation schemes, the improved dynamic anti-windup compensation scheme resets the state of the dynamic anti-windup compensator to zero when the actuator is not saturated. Thus the improved dynamic anti-windup compensator will not compensate the controller when the actuator is not saturated. Further, a time-dependent Lyapunov function is proposed to analyze the stability of the closed-loop system, and the control synthesis conditions of the closed-loop system are given in the form of LMIs. Finally, the effectiveness of the proposed improved dynamic anti-windup compensation scheme is verified by the piezoelectric nano-motion platform. © 2023 South China University of Technology. All rights reserved.
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页码：792 / 800
页数：8
相关论文
共 20 条
  • [1] REINEH M S, SOLMAZ-KIA S, JABBARI F., New anti-windup structure for magnitude and rate limited inputs and peak-bounded disturbances, Automatica, 97, pp. 301-305, (2018)
  • [2] LI T, WANG T, YU Y, Et al., Static anti-windup compensator for nonlinear systems with both state and input time-varying delays, Journal of the Franklin Institute, 357, 2, pp. 863-886, (2020)
  • [3] WU F, LIN Z L, ZHENG Q., Output feedback stabilization of linear systems with actuator saturation, IEEE Transactions on Automatic Control, 52, 1, pp. 122-128, (2007)
  • [4] TARBOURIECH S, TURNER M C., Anti-windup design: an overview of some recent advances and open poblems, IET Control Theory & Applications, 3, 1, pp. 1-19, (2009)
  • [5] WU X, LIN Z L., On immediate, delayed and anticipatory activation of anti-windup mechanism: static anti-windup case, IEEE Transactions on Automatic Control, 57, 3, pp. 771-777, (2012)
  • [6] YAO X, GUO L, WU L, Et al., Static anti-windup design for nonlinear markovian jump systems with multiple disturbances, Information Sciences, 418, pp. 169-183, (2017)
  • [7] AKRAM A, HUSSAIN M, US SAQIB N, Et al., Dynamic anti-windup compensation of nonlinear time-delay systems using LPV approach, Nonlinear Dynamics, 90, 1, pp. 513-533, (2017)
  • [8] LI Haojie, HE Hanlin, ZHA Miao, Anti-windup design for saturated time-delay nonlinear systems: An indirect linear matrix inequality-based approach, Control Theory & Applications, 37, 7, pp. 1595-1600, (2020)
  • [9] DA SILVA J G, OLIVEIRA M, COUTINHO D, Et al., Static anti-windup design for a class of nonlinear systems, International Journal of Robust and Nonlinear Control, 24, 5, pp. 793-810, (2014)
  • [10] GRIMM G, HATFIELD J, POSTLETWAITE I., Anti-windup for stable linear systems with input saturation: an LMI-based synthesis, IEEE Transactions on Automatic Control, 48, 9, pp. 1509-1525, (2003)
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