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Output-feedback finite-time stabilization of a class of constrained planar systems

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This work has addressed the output-feedback finite-time stabilization issue for a type of asymmetric output-constrained planar systems. The innovation involved in the results of the work owes to the construction of a barrier Lyapunov function (BLF) to the handling of the asymmetric output constraint. By incorporated the BLF into the backstepping-like technique, a state feedback controller is first developed. An implementable observer is subsequently designed to estimate the unmeasurable system state. Lastly, an observer-based finite-time output feedback controller is explicitly proposed. Theoretically, the Lyapunov stability theory is adopted to show that the system states are finite-time stabilized under the presented control scheme. Meanwhile, the violation of a pre-established asymmetric output constraint is circumvented. To testify the derived theoretical results, the case studies of a permanent magnet linear motor system are offered. (C) 2021 Elsevier Inc. All rights reserved.

Finite-time stabilizationBarrier Lyapunov functionOutput feedbackAsymmetric output constraintSTOCHASTIC NONLINEAR-SYSTEMSADAPTIVE STABILIZATION

Mei, Keqi、Ding, Shihong

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Jiangsu Univ

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.412
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