A fast-response active disturbance rejection control for a class of nonlinear uncertain systems

• Published in: Measurement and control (London) Vol. 57; no. 6; pp. 763 - 781
• Main Authors: Wei, Wei, Duan, Bowen, Zhang, Weicun, Zuo, Min
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.06.2024; Sage Publications Ltd; SAGE Publishing
• Subjects: Active control; Closed loops; Compensation; Control systems; Control theory; Dynamical systems; Feedback control; Linearization; Nonlinear control; Nonlinear dynamics; Nonlinear systems; Rejection; State observers; System dynamics; nonlinear systems; Extended state observer; fast-response active disturbance rejection control; compensation of the total disturbance estimation
• ISSN: 0020-2940; 2051-8730
• DOI: 10.1177/00202940231214841

The nonlinear system control is a classical problem in control engineering. In this paper, rather than try to get accurate nonlinear dynamics, the nonlinear and uncertain dynamics are viewed as a signal. It can be estimated by an extended state observer, and compensated by a control law. Accordingly, the nonlinear uncertain system is linearized. Based on the linearized system and the key point of the U-model control, a controller can be designed to obtain predetermined closed-loop system dynamics. To get a more satisfactory performance, a compensation signal of the total disturbance estimation (CSTDE) is designed. Based on the CSTDE, a compensation of the total disturbance estimation based extended state observer (CTDESO) and a fast-response active disturbance rejection control (FRADRC) are proposed. Convergence of the CTDESO and the closed-loop stability of the FRADRC are analyzed. Four nonlinear systems are considered to testify the proposed approaches. Numerical results show that, no matter disturbances exist or not, the proposed CTDESO can linearize a nonlinear system better, and the predetermined closed-loop responses can also be achieved more satisfactorily by the FRADRC.