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Robust non-fragile finite frequency H∞ control for uncertain active suspension systems with time-delay using T-S fuzzy approach
Xu, Yahui1,2; Xie, Zhengchao1,2; Zhao, Jing3; Li, Wenfeng1,2; Li, Panshuo4; Wong, Pak Kin3
2021-05-01
Source PublicationJournal of the Franklin Institute
ISSN0016-0032
Volume358Issue:8Pages:4209-4238
Abstract

In this paper, the problem of non-fragile H control for uncertain active suspension systems (ASSs) with time-delay is investigated via a fuzzy control approach in the finite frequency domain. Firstly, considering the variation of sprung and unsprung masses, a Takagi-Sugeno (T-S) fuzzy model is constructed to describe the nonlinear suspension dynamics based on a typical quarter-automobile ASS model. Meanwhile, the input delays and gain perturbations of the actuator are considered to approximate the real physical device situations in the control systems. Secondly, through combining Lyapunov stability theory, generalized Kalman-Yakubovich-Popov (GKYP) lemma with the further universalization of the strict S-procedure, a sufficient condition is presented to ensure that the resulted closed-loop system is asymptotically stable and satisfies the desired finite frequency H performance simultaneously. Furthermore, the existing conditions of the fuzzy controller are given as a convex optimization problem in terms of a set of linear matrix inequality (LMI) constraints. Finally, numerical simulations are implemented to examine the effectiveness and performance advantages of the proposed control approach.

DOI10.1016/j.jfranklin.2021.03.019
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systemsengineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000647680300005
Scopus ID2-s2.0-85105123888
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Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorXie, Zhengchao
Affiliation1.School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou, China
2.Guangdong Provincial Key Laboratory of Technique and Equipment for Macromolecular Advanced Manufacturing, South China University of Technology, Guangzhou, China
3.Department of Electromechanical Engineering, University of Macau, Taipa, Macao
4.School of Automation, Guangdong University of Technology, Guangzhou, China
Recommended Citation
GB/T 7714
Xu, Yahui,Xie, Zhengchao,Zhao, Jing,et al. Robust non-fragile finite frequency H∞ control for uncertain active suspension systems with time-delay using T-S fuzzy approach[J]. Journal of the Franklin Institute, 2021, 358(8), 4209-4238.
APA Xu, Yahui., Xie, Zhengchao., Zhao, Jing., Li, Wenfeng., Li, Panshuo., & Wong, Pak Kin (2021). Robust non-fragile finite frequency H∞ control for uncertain active suspension systems with time-delay using T-S fuzzy approach. Journal of the Franklin Institute, 358(8), 4209-4238.
MLA Xu, Yahui,et al."Robust non-fragile finite frequency H∞ control for uncertain active suspension systems with time-delay using T-S fuzzy approach".Journal of the Franklin Institute 358.8(2021):4209-4238.
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