Stability of port-Hamiltonian systems with mixed time delays subject to input saturation
Articles
Yufei Chen
Guilin University of Electronic Technology
https://orcid.org/0000-0002-3769-7580
Qihuai Liu
Guilin University of Electronic Technology
https://orcid.org/0000-0002-1661-5670
Published 2023-12-13
https://doi.org/10.15388/namc.2024.29.33822
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Keywords

port-Hamiltonian system
input saturation
time-varying delay
stability
Lyapunov– Krasovskii method

How to Cite

Chen, Y. and Liu, Q. (2023) “Stability of port-Hamiltonian systems with mixed time delays subject to input saturation”, Nonlinear Analysis: Modelling and Control, 29(1), pp. 124–145. doi:10.15388/namc.2024.29.33822.

Abstract

In this paper, we investigate the stability of port-Hamiltonian systems with mixed time-varying delays as well as input saturation. Three types of time delays, including state delay, input delay, and output delay, are all assumed to be bounded. By introducing the output feedback control law and utilizing serval Lyapunov–Krasovskii functionals, we present three delay-dependent stability criteria in terms of the linear matrix inequality. Meanwhile, we use Wirtinger’s inequality, constraint conditions, and Lyapunov–Krasovskii functionals of triple and quadruple integral form to obtain less conservative results. Some numerical examples demonstrate and support our results.

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