基于双增益方法的不确定非线性系统的输出反馈调节问题  

Output feedback regulation of uncertain nonlinear systems via dual gain method

作　　者：殷县龙 孙宗耀[1] 谭庆全[2] 陈智强 孟庆华[4] YIN Xian-long;SUN Zong-yao;TAN Qing-quan;CHEN Chih-chiang;MENG Qing-hua(Institute of Automation,Qufu Normal University,Qufu 273165,China;Earthquake Administration of Beijing Municipality,Beijing 100080,China;Department of Systems and Naval Mechatronic Engineering,Cheng Kung University,Tainan 70101,China;School of Mechanical Engineering,Hangzhou Dianzi University,Hangzhou 310018)

机构地区：[1]曲阜师范大学自动化研究所,山东曲阜273165 [2]北京市地震局,北京100080 [3]成功大学系统及船舶机电工程学系,中国台湾台南70101 [4]杭州电子科技大学机械工程学院,杭州310018

出　　处：《控制与决策》2024年第4期1260-1266,共7页Control and Decision

基　　金：国家自然科学基金项目(62173208);山东省泰山学者计划项目(202103061);山东省高校青创科技计划项目(2019KJN036)。

摘　　要：研究一类具有多种不确定性的非线性系统的全局输出反馈调节问题.所研究系统的一个显著特点是非线性项被未知增长率和多项式形式的输出函数的乘积界定,难点是在输出受不确定参数摄动的情况下如何抑制非线性项.提出一种改进的双增益方法来设计输出反馈控制器,可以确保闭环系统所有信号全局一致有界并且原系统状态收敛到零.最后,采用质量弹簧机械系统的输出反馈镇定问题来说明控制策略的有效性.This paper investigates the global output feedback stabilization problem for a class of nonlinear systems with multiple uncertainties.A distinctive characteristic of the system to be studied is that nonlinearities are bounded by multiplying unknown growth rates with a polynomial formof the output function.The crucial difficulty is how to dominate the nonlinearities effectively on the hypothesis that the output is perturbed by uncertain parameters.An improved dual gain approach is proposed to design the output feedback controller which ensures that all signals of closed-loop systems are globally uniformly bounded and the original system states converge to zero.Finally,the output feedback stabilization problem of a mass-spring mechanical system is used to illustrate the effectiveness of the control strategy.

关 键 词：输出反馈调节 未知增长率 输出不确定性 双增益方法 全局镇定 非线性系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]