ASYMPTOTIC STABILITY ANALYSIS AND STABILIZATION CONTROL OF FRACTIONAL-ORDER VEHICLE SUSPENSION SYSTEM WITH TIME DELAY

Zhe Zhang, Xiaoyao Li, Yaonan Wang, Min Liu, Xiaogang Zhang and Jing Zhang
Additional contact information
Zhe Zhang: College of Electrical and Information Engineering, Hunan University, P. R. China
Xiaoyao Li: ��School of Computer and Information Engineering, Central South University of Forestry and Technology, P. R. China
Yaonan Wang: College of Electrical and Information Engineering, Hunan University, P. R. China
Min Liu: College of Electrical and Information Engineering, Hunan University, P. R. China
Xiaogang Zhang: College of Electrical and Information Engineering, Hunan University, P. R. China
Jing Zhang: College of Electrical and Information Engineering, Hunan University, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-16

Abstract: Our study focuses on the analysis of asymptotic stability and the development of asymptotic stabilization control methods for fractional vehicle suspension systems (FVSS). We begin by constructing a mathematical model for FVSS using the state-space equations of Caputo fractional calculus. Initially, we utilize the fractional Routh–Hurwitz criterion to derive the necessary conditions for asymptotic stability and instability in the open-loop system of the fractional vehicle suspension. Subsequently, we propose a novel control strategy for FVSS and establish an associated asymptotic stabilization criterion by combining a new vector Lyapunov function with the M-matrix method. Moreover, we extend the fractional-order vehicle suspension model to include time delay resulting from the interactions between different variables in the real system, thus creating a FVSS with time delay. Based on the vector Lyapunov function, M-matrix measure, and Razumikhin interpretation, we develop a control strategy specifically tailored for FVSSs with time delay. Lastly, we compare two numerical simulations of the FVSS, one with time delay and one without, to demonstrate the accuracy, effectiveness, and applicability of the proposed method presented in our paper.

Keywords: Vehicle Suspension System; Fractional-Order System; Asymptotic Stability; Stabilization Control (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23501062
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:09:n:s0218348x23501062

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23501062

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().