Stabilization of a class of switched uncertain systems by active disturbance rejection control

The problem of stabilization for a class of switched uncertain non-linear systems is studied by active disturbance rejection control (ADRC). Coordinate transformation is applied to transform the system into a strict feedback system in normal form. The unknown non-linearity, parameter uncertainty and...

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Bibliographic Details
Published in:Transactions of the Institute of Measurement and Control 2018-12, Vol.40 (16), p.4421-4431
Main Authors: Liu, Chen, Dong, Chaoyang, Wang, Qing, Ran, Maopeng
Format: Article
Language:English
Subjects:
Active control
Coordinate transformations
Dwell time
Linear systems
Linearity
Nonlinear systems
Nonlinearity
Parameter uncertainty
Rejection
Stabilization
State observers
Switching
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Summary:The problem of stabilization for a class of switched uncertain non-linear systems is studied by active disturbance rejection control (ADRC). Coordinate transformation is applied to transform the system into a strict feedback system in normal form. The unknown non-linearity, parameter uncertainty and external disturbance are treated as an extended state of each subsystem, and a corresponding switched extended state observer (ESO) is designed. Based on the output of the switched ESO, a switching ADRC law is proposed. Rigorous proof is given to show that the switched ESO can estimate system states and the unknown non-linearity of each subsystem effectively. Furthermore, the proposed controller guarantees the closed-loop system be semi-globally uniformly ultimately bounded for a class of switching with average dwell time. A numerical example illustrates the effectiveness of the proposed method.
ISSN:0142-3312
1477-0369
DOI:10.1177/0142331217749697