上海交通大学学报

上海交通大学学报 >

2022 , Vol. 56 >Issue 11: 1491 - 1501

DOI: https://doi.org/10.16183/j.cnki.jsjtu.2021.203

制导、导航与控制

基于线性矩阵不等式的线性/非线性切换自抗扰控制系统的稳定性分析

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  • 陆军工程大学 无人机工程系,石家庄 050003
万 慧(1991-),女,河北省秦皇岛市人,博士生,从事自抗扰控制研究.

收稿日期: 2021-06-11

  网络出版日期: 2022-12-02

基金资助

陆军工程大学石家庄校区科研创新发展基金(校教(2019)71号)

收起

Linear Matrix Inequality Based Stability Analysis of Linear/Nonlinear Switching Active Disturbance Rejection Control System

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  • Department of Unmanned Aerial Vehicle Engineering, Army Engineering University, Shijiazhuang 050003, China

Received date: 2021-06-11

  Online published: 2022-12-02

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摘要

针对一类连续线性标称多输入多输出(MIMO)系统,设计基于线性/非线性切换自抗扰控制(SADRC )的解耦控制器.介绍系统模型,并针对设计的SADRC解耦控制器提出一种基于线性矩阵不等式(LMI)技术的绝对稳定性分析方法,最后通过数值仿真验证了该方法的有效性.

关键词： 线性/非线性切换自抗扰控制; 多输入多输出; 连续线性标称系统; 解耦控制; 稳定性分析

本文引用格式

万慧, 齐晓慧, 李杰 . 基于线性矩阵不等式的线性/非线性切换自抗扰控制系统的稳定性分析[J]. 上海交通大学学报, 2022 , 56(11) : 1491 -1501 . DOI: 10.16183/j.cnki.jsjtu.2021.203

Abstract

A decoupling controller based on linear/nonlinear switching active disturbance rejection control (SADRC) is designed for a class of continuous linear nominal multi-input multi-output (MIMO) system. The system model is introduced and a linear matrix inequality (LMI) based absolute stability analysis approach is proposed for the designed SADRC decoupling controller. Finally, the effectiveness of the proposed method is verified by numerical simulations.

Key words： linear/nonlinear switching active disturbance rejection control (SADRC); multi-input multi-output (MIMO); continuous linear nominal system; decoupling control; stability analysis

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