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Robust Non-fragile Finite Frequency H infinity Control for Uncertain Active Suspension System with Time Delay Using T-S Fuzzy Approach
Yahui Xu1,2; Zhengchao Xie1,2; Jing Zhao3; Wenfeng Li1,2; Panshuo Li4; Pak kin Wong3
2021-05
Source PublicationJournal of the Franklin Institute – Engineering and Applied Mathematics
ISSN0016-0032
Volume358Issue:8Pages:4209-4238
Abstract

In this paper, the problem of non-fragile H-infinity 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 asymp- totically stable and satisfies the desired finite frequency H(infinity )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. 

KeywordOutput-feedback Control Vehicle Suspension Inequalities
DOI10.1016/j.jfranklin.2021.03.019
Indexed BySCIE
Language英語English
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000647680300005
PublisherPERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
The Source to ArticlePB_Publication
Scopus ID2-s2.0-85105123888
Fulltext Access
Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF ELECTROMECHANICAL ENGINEERING
Corresponding AuthorZhengchao Xie; Jing Zhao
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, Macau
4.School of Automation, Guangdong University of Technology, Guangzhou, China
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Yahui Xu,Zhengchao Xie,Jing Zhao,et al. Robust Non-fragile Finite Frequency H infinity Control for Uncertain Active Suspension System with Time Delay Using T-S Fuzzy Approach[J]. Journal of the Franklin Institute – Engineering and Applied Mathematics, 2021, 358(8), 4209-4238.
APA Yahui Xu., Zhengchao Xie., Jing Zhao., Wenfeng Li., Panshuo Li., & Pak kin Wong (2021). Robust Non-fragile Finite Frequency H infinity Control for Uncertain Active Suspension System with Time Delay Using T-S Fuzzy Approach. Journal of the Franklin Institute – Engineering and Applied Mathematics, 358(8), 4209-4238.
MLA Yahui Xu,et al."Robust Non-fragile Finite Frequency H infinity Control for Uncertain Active Suspension System with Time Delay Using T-S Fuzzy Approach".Journal of the Franklin Institute – Engineering and Applied Mathematics 358.8(2021):4209-4238.
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