Dynamic‐surface‐based adaptive predefined‐time control for nonlinear non‐affine switched systems with sensor fault

Author:

Xu Ke1ORCID,Wang Huanqing2ORCID,Liu Peter Xiaoping3ORCID

Affiliation:

1. The School of Mechanical, Electronic and Control Engineering Beijing Jiaotong University Beijing China

2. The College of Mathematical Sciences Bohai University Jinzhou Liaoning China

3. Department of Systems and Computer Engineering Carleton University Ottawa Ontario Canada

Abstract

AbstractThe adaptive neural tracking fault‐tolerant control problem is considered for nonlinear non‐affine switched systems with sensor faults via dynamic surface control (DSC) technique under arbitrary switchings within predefined‐time interval. During the controller design process, the non‐affine formation strictly processed so that the implicit control signals can be transformed into explicit ones. The introduction of hyperbolic tangent function to design the control signal eliminates the singularity at the same time, but also avoids the tedious discussion of the segmentation function to solve the singularity. Considering Lyapunov stability theorem, an adaptive fault tolerant control approach is presented, which means that the settling‐time can be programmed by the user practical specification under arbitrary switching, the predefined time boundedness of all closed‐loop signals can be ensured, and the influence of sensor faults can be compensated. The effectiveness of the presented method is verified via simulation results.

Funder

Natural Science Foundation of Zhejiang Province

National Natural Science Foundation of China

Publisher

Wiley

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