引用本文:蒋志勇,闫鹏.单输入线性系统的改进型动态抗饱和设计[J].控制理论与应用,2023,40(5):792~800.[点击复制]
JIANG Zhi-yong,YAN Peng.Improved dynamic anti-windup design for single input linear systems[J].Control Theory and Technology,2023,40(5):792~800.[点击复制]
单输入线性系统的改进型动态抗饱和设计
Improved dynamic anti-windup design for single input linear systems
摘要点击 1224  全文点击 334  投稿时间:2021-04-23  修订日期:2023-03-12
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DOI编号  10.7641/CTA.2021.10343
  2023,40(5):792-800
中文关键词  状态重置  动态抗饱和  时间依赖的Lyapunov函数  压电纳米运动平台
英文关键词  state reset  dynamic anti-windup  time-dependent Lyapunov function  piezoelectric nano-motion platform
基金项目  国家自然科学基金项目(51775319), 山东省重点研发计划项目(2018GGX103009)
作者单位E-mail
蒋志勇 北京航空航天大学 jiangzy2013@163.com 
闫鹏* 山东大学 PengYan2007@gmail.com 
中文摘要
      本文基于状态重置的改进型动态抗饱和补偿方案, 研究了具有单输入的线性饱和系统的抗饱和控制问题. 相比较于传统的动态抗饱和补偿方案, 当执行器不饱和时, 改进的动态抗饱和补偿方案把动态抗饱和补偿器的状态重置为零. 所以当执行器不饱和时, 改进的动态抗饱和补偿器将不会对控制器进行补偿. 进一步的, 提出了一个时间依赖的Lyapunov函数来分析闭环系统的稳定性, 并以LMIs的形式给出了闭环系统的控制综合条件. 最后, 通过压电纳米运动平台验证了所提出的改进型动态抗饱和补偿方案的有效性。
英文摘要
      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 closedloop 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.