Practical fixed-time stabilization for discrete-time impulsive switched port-controlled Hamiltonian systems

This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH). First, starting with discrete-time port-controlled Hamiltonian systems, a novel controller is presented to achieve practical FT stability of...

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Bibliographic Details
Main Authors: Xiangyu Chen, Weiwei Sun, Xinci Gao, Dehay Yu
Format: Article
Language:English
Published: Vilnius University Press 2024-02-01
Series:Nonlinear Analysis
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Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/34648
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Summary:This paper is concerned with practical fixed-time (FT) stabilization problem of discretetime impulsive switched port-controlled Hamiltonian systems (DISPCH). First, starting with discrete-time port-controlled Hamiltonian systems, a novel controller is presented to achieve practical FT stability of the obtained closed-loop system. Moreover, in order to well handle the abrupt changes at switch moments in practical switched systems, another novel controller is presented in terms of positive-order Lyapunov functions approach and range dwell time method to make discrete-time impulsive switched port-controlled Hamiltonian system practical FT stable. Ultimately, the validity of proposed methods is illustrated by simulations.
ISSN:1392-5113
2335-8963