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.
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.
作者
蒋志勇
闫鹏
JIANG Zhi-yong;YAN Peng(School of Automation Science and Electrical Engineering,Beihang University,Beijing 100191,China;Key Laboratory of High-efficiency and Clean Mechanical Manufacture,Ministry of Education,School of Mechanical Engineering,Shandong University,Jinan Shandong 250061,China)
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2023年第5期792-800,共9页
Control Theory & Applications
基金
国家自然科学基金项目(51775319)
山东省重点研发计划项目(2018GGX103009)资助。
