Skip to main content
Register
Springer Professional
SEARCH
Menu 1 2 3 4
Top

Hint

Swipe to navigate through the articles of this issue

Published in: International Journal of Machine Learning and Cybernetics 1/2023

25-10-2022 | Original Article

Observer-based mixed \(H_{\infty }\) and passive control for T-S fuzzy semi-Markovian jump systems with time-varying delay via sliding mode method

Authors: Zhiqi Wei, Huan Li, Yuechao Ma

Published in: International Journal of Machine Learning and Cybernetics | Issue 1/2023

Login to get access
share
SHARE

Abstract

This article presents the subject of the Takagi–Sugeno fuzzy sliding mode approach for nonlinear semi-Markovian mode-dependent delay switching systems. In addition, the mixed \(H_{\infty }\)/passive performance was considered. The non-fragile observer is introduced to reconstruct variables, such that the error dynamics are obtained. By raising a novel fuzzy integral sliding surface function on the probability space, the new closed-loop sliding mode dynamic constitutes by observer and estimate systems satisfies both the mixed \(H_{\infty }\)/passive performance index and the stochastic stable as the new model-dependent Lyapunov–Krasovskii function is established. Moreover, sufficient conditions are carried out based on linear matrix inequality (LMI), which ensures the results of our work can be verified by the feasibility problem in terms of LMI. Then the sliding mode control is designed to make the system's trajectory reach the predefined sliding surface. Finally, four numerical examples are given to testify the availability and less conservatism of the theoretical method.
previous article Merits of Bayesian networks in overcoming small data challenges: a meta-model for handling missing data
next article Continual portfolio selection in dynamic environments via incremental reinforcement learning

To get access to this content you need the following product:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 69.000 Bücher
  • über 500 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt 90 Tage mit der neuen Mini-Lizenz testen!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 50.000 Bücher
  • über 380 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe



 


Jetzt 90 Tage mit der neuen Mini-Lizenz testen!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 58.000 Bücher
  • über 300 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko





Jetzt 90 Tage mit der neuen Mini-Lizenz testen!

inform now
Show more products
Literature
1.
Sakthivel R, Divya H, Sakthivel R et al (2020) Robust hybrid control design for stochastic Markovian jump system via fault alarm approach. IEEE Trans Circuits Syst II Express Briefs 67(10):2004–2008
2.
Zhang D, Du B, Jing Y et al (2022) Investigation on stability of positive singular Markovian jump systems with mode-dependent derivative-term coefficient. IEEE Trans Syst Man Cybern Syst 52(3):1385–1394 CrossRef
3.
Baranitha R, Mohajerpoor R, Rakkiyappan R (2021) Bilateral teleoperation of single-master multislave systems with semi-Markovian jump stochastic interval time-varying delayed communication channels. IEEE Trans Cybern 51(1):247–257 CrossRef
4.
Nie R, He S, Liu F et al (2021) Sliding mode controller design for conic-type nonlinear semi-Markovian jumping systems of time-delayed Chua’s circuit. IEEE Trans Syst Man Cybern Syst 51(4):2467–2475 CrossRef
5.
Zhuang G, Su S, Xia J et al (2021) HMM-based asynchronous filtering for fuzzy singular Markovian switching systems with retarded time-varying delays. IEEE Trans Cybern 51(3):1189–1203 CrossRef
6.
7.
Guan C, Fei Z, Park P (2021) Modified looped functional for sampled-data control of T-S Fuzzy Markovian jump systems. IEEE Trans Fuzzy Syst 29(9):2543–2552 CrossRef
8.
Yan HC, Wang TT, Zhang H et al (2015) Event-triggered control for uncertain networked T-S fuzzy systems with time delay. Neurocomputing 157:273–279 CrossRef
9.
Li M, Chen X, Liu M et al (2022) Asynchronous adaptive fault-tolerant sliding-mode control for T-S fuzzy singular Markovian jump systems with uncertain transition rates. IEEE Trans Cybern 52(1):544–555 CrossRef
10.
Wang J, Ru T, Xia J et al (2021) Asynchronous event-triggered sliding mode control for semi-markov jump systems within a finite-time interval. IEEE Trans Circuits Syst I Regul Pap 68(1):458–468 CrossRef
11.
Kong CF, Ma YC, Liu DY (2019) Observer-based quantized sliding mode dissipative control for singular Semi-Markovian jump systems. Appl Math Comput 362:124539 MATH
12.
Li R, Zhang X (2020) Adaptive sliding mode observer design for a class of T-S fuzzy descriptor fractional order systems. IEEE Trans Fuzzy Syst 28(9):1951–1960 CrossRef
13.
Jiang BP, Karimi H, Kao YG et al (2019) Takagi-Sugeno model-based sliding mode observer design for finite-time synthesis of Semi-Markovian jump systems. IEEE Trans Syst Man Cybern Syst 49:1505–1515 CrossRef
14.
Liu Z, Yu J (2020) Non-fragile observer-based adaptive control of uncertain nonlinear stochastic Markovian jump systems via sliding mode technique. Nonlinear Anal Hybrid Syst 38:100931 CrossRefMATH
15.
Zhang L, Zhou Y, Qi W et al (2020) Non-fragile observer-based finite-time sliding mode control. Appl Math Comput 375:125069
16.
Hua M, Zheng D, Deng F et al (2021) Filtering for nonhomogeneous markovian jump repeated scalar nonlinear systems with multiplicative noises and partially mode-dependent characterization. IEEE Trans Syst Man Cybern Syst 51(5):3180–3192 CrossRef
17.
Zheng Q, Zhang H, Ling Y et al (2018) Mixed and passive control for a class of nonlinear switched systems with average dwell time via hybrid control approach. J Franklin Inst 355(3):1156–1175 CrossRefMATH
18.
Mathiyalagan K, Park JH, Sakthivel R et al (2014) Robust mixed and passive filtering for networked Markov jump systems with impulses. Signal Process 101:162–173 CrossRef
19.
Shi P, Zhang Y, Chadli M et al (2016) Mixed and passive filtering for discrete fuzzy neural networks with stochastic jumps and time delays. IEEE Trans Neural Netw Learn Syst 27(4):903–909 CrossRef
20.
Xia WF, Li YM, Chu YM et al (2019) Observer-based mixed passive and control for uncertain Markovian jump systems with time delays using quantized measurements. Nonlinear Anal Hybrid Syst 31:233–246 CrossRefMATH
21.
Su L, Ye D (2018) Mixed and passive event-triggered reliable control for T-S fuzzy Markov jump systems. Neurocomputing 281:96–105 CrossRef
22.
Zhang S, Nie H (2022) Dwell-time-dependent asynchronous mixed and passive control for discrete-time switched systems. Nonlinear Anal Hybrid Syst 44:101140 CrossRefMATH
23.
Wang X, Park JH, Yang H et al (2020) An improved fuzzy sampled-data control to stabilization of T-S fuzzy systems with state delays. IEEE Trans Cybern 50(7):3125–3135 CrossRef
24.
Lin Y, Zhuang G, Sun W et al (2021) Resilient dynamic output feedback controller design for USJSs with time-varying delays. Appl Math Comput 395:125875 MATH
25.
Zhuang G, Sun W, Su S et al (2021) Asynchronous feedback control for delayed fuzzy degenerate jump systems under observer-based event-driven characteristic. IEEE Trans Fuzzy Syst 29(12):3754–3768 CrossRef
26.
Wang J, Ma S, Zhang C (2019) Finite-time control for T-S fuzzy descriptor semi-Markov jump systems via static output feedback. Fuzzy Sets Syst 365:60–80 CrossRefMATH
27.
Li M, Huang Q (2019) Non-fragile passive control for Markovian jump systems with time-varying delays. Physica A 534:122332 CrossRefMATH
28.
Qi WH, Park JH, Cheng J et al (2017) Robust stabilisation for non-linear time-delay semi-Markovian jump systems via sliding mode control. IET Control Theory Appl 11(10):1504–1513 CrossRef
29.
Tang PY, Ma YC (2019) Exponential stabilization and sampled-date control for uncertain T-S fuzzy systems with time-varying delay. J Franklin Inst 365:4859–4887 CrossRefMATH
30.
Zhang Y, Ma Y, Fu L et al (2020) Finite-time non-fragile sampled-data control for uncertain T-S fuzzy system with time-varying delay and nonlinear perturbation subject to Markovian jump. ISA Trans 99:59–73 CrossRef
31.
Castanos F, Fridman L (2006) Analysis and design of integral sliding manifolds for systems with unmatched perturbations. IEEE Trans Autom Control 51(5):853–858 CrossRefMATH
32.
Sakthivel R, Saravanakumar T, Ma YK et al (2017) Finite-time resilient reliable sampled-data control for fuzzy systems with randomly occurring uncertainties. Fuzzy Sets Syst 329:1–18 CrossRefMATH
33.
Li ZC, Li M, Xu YL et al (2017) Finite-time stability and stabilization of semi-Markovian jump systems with time delay. Int J Robust Nonlinear Control 28(8):1–18
34.
Gao HJ, Fei ZY, Lam J et al (2011) Further results on exponential estimates of Markovian jump systems with mode-dependent time-varying delays. IEEE Trans Autom Control 56(1):223–229 CrossRefMATH
35.
Shu Z, Lam J, Xu SY (2006) Robust stabilization of Markovian delay systems with delay-dependent exponential estimates. Automatica 42(11):2001–2008 CrossRefMATH
Metadata
Title
Observer-based mixed and passive control for T-S fuzzy semi-Markovian jump systems with time-varying delay via sliding mode method
Authors
Zhiqi Wei
Huan Li
Yuechao Ma
Publication date
25-10-2022
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 1/2023
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-022-01638-z

Other articles of this Issue 1/2023

International Journal of Machine Learning and Cybernetics 1/2023 Go to the issue

Original Article

Continual portfolio selection in dynamic environments via incremental reinforcement learning

Original Article

An iterative recommendation model of supporting personalized learning based on schematic patterns mining from schema-enhanced contexts of problem-solving

Original Article

Distance metric learning with local multiple kernel embedding

Original Article

Effective weight function in graphs-based discriminant neighborhood embedding

Original Article

Solving large-scale global optimization problems and engineering design problems using a novel biogeography-based optimization with Lévy and Brownian movements

Original Article

Tuning of data augmentation hyperparameters in deep learning to building construction image classification with small datasets