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

doi:10.16183/j.cnki.jsjtu.2021.203

Abstract

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

CLC Number:

V212.4

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.

Figures/Tables 7

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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