Practical adaptive finite-time stabilization for a class of second-order systems

Wenhui Dou, Shihong Ding and Xiangyong Chen

Applied Mathematics and Computation, 2022, vol. 431, issue C

Abstract: This paper considers the practical adaptive finite-time stabilization problem for a class of second-order systems. Based on the adding a power integrator technique and the adaptive method, a novel adaptive control strategy is presented to assure the trajectories of the closed-loop systems converge to a small neighborhood of the origin in a finite time. Under the adaptive control strategy, the dynamical change of control gain is dependent on the cases whether the state trajectories enter or leave a pre-designed domain or not. In addition, the practical finite-time stability (PFTS) of systems is testified via utilizing the Lyapunov method and adaptive mechanism. Last of all, the validity of the obtained practical adaptive finite-time algorithm is verified via simulation results.

Keywords: Finite-time stability; Adaptive control; Adding a power integrator; Lyapunov method (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:431:y:2022:i:c:s0096300322004143

DOI: 10.1016/j.amc.2022.127340

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