Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/163256
Title: Input-to-state stability and sliding mode control of the nonlinear singularly perturbed systems via trajectory-based small-gain theorem
Authors: Jin, Zhenghong
Li, Jiawen
Wang, Zhanxiu
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2022
Source: Jin, Z., Li, J. & Wang, Z. (2022). Input-to-state stability and sliding mode control of the nonlinear singularly perturbed systems via trajectory-based small-gain theorem. Nonlinear Analysis: Hybrid Systems, 44, 101175-. https://dx.doi.org/10.1016/j.nahs.2022.101175
Journal: Nonlinear Analysis: Hybrid Systems
Abstract: This paper presents the trajectory-based input-to-state stability (ISS) and input-to-output stability (IOS) small-gain theorem, and the finite-time ISS (FTISS) and finite-time IOS (FTIOS) of nonlinear singularly perturbed systems. The contribution of this paper is threefold. Firstly, a novel idea is proposed to analyze the stability of the nonlinear singularly perturbed system, which is regarded as an interconnected system by using two-time-scale decomposition. Secondly, the trajectory-based approach is applied to establish ISS and IOS small-gain theorem for singularly perturbed systems and the FTISS and FTIOS properties are proposed. Thirdly, a novel sliding mode controller is developed for a class of nonlinear singularly perturbed systems. Finally, the effectiveness of proposed method is illustrated by using a numerical example, a DC motor simulation and a multi-agent singularly perturbed system.
URI: https://hdl.handle.net/10356/163256
ISSN: 1751-570X
DOI: 10.1016/j.nahs.2022.101175
Rights: © 2022 Elsevier Ltd. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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