Global output feedback stabilization control for non-strict feedback nonlinear systems

This paper studies global output feedback stabilization (OFS) control for non-strict feedback nonlinear systems with unknown functions (UFs). In order to deal with the UFs problem, a Lemma is proposed. This Lemma not only avoids the disadvantages of approximation methods, but also avoids the Assumpt...

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Bibliographic Details
Published in:European journal of control 2022-01, Vol.63, p.126-132
Main Authors: Jia, Fujin, Lu, Junwei, Li, Yongmin
Format: Article
Language:English
Subjects:
Algorithms
Approximation
Backstepping method
Closed loops
Control algorithms
Control systems
Control theory
Controllers
Coordinate transformations
Design
Feedback control
Global stabilization
Methods
Neural networks
Nonlinear systems
Output feedback
Stabilization
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Summary:This paper studies global output feedback stabilization (OFS) control for non-strict feedback nonlinear systems with unknown functions (UFs). In order to deal with the UFs problem, a Lemma is proposed. This Lemma not only avoids the disadvantages of approximation methods, but also avoids the Assumptions of UFs. Therefore, the algorithm in the paper reduces the conservatism. Then, a control algorithm is proposed to solve the global OFS control problem of closed-loop systems. At the same time, the “explosion of terms” problem of backstepping is also solved. Finally, the algorithm is applied to Duffing system and Chua’s oscillator system to verify the effectiveness of the algorithm.
ISSN:0947-3580
1435-5671
DOI:10.1016/j.ejcon.2021.09.002