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

doi:10.16183/j.cnki.jsjtu.2021.203

摘要/Abstract

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

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

中图分类号:

V212.4

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.

WAN Hui, QI Xiaohui, LI Jie. Linear Matrix Inequality Based Stability Analysis of Linear/Nonlinear Switching Active Disturbance Rejection Control System[J]. Journal of Shanghai Jiao Tong University, 2022, 56(11): 1491-1501.

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系统	a₁₄	a₁₂	a₂₃	a₂₁
1	0	0	0	0
2	-1	-2	-8	-6
3	0	1	0	2
4	-1	2	-8	6