IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v377y2020ics0096300320300837.html
   My bibliography  Save this article

Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays

Author

Listed:
  • Sun, Shaoxin
  • Wang, Yingchun
  • Zhang, Huaguang
  • Sun, Jiayue

Abstract

This paper focuses on the observer-based fault estimation (FE) and active dynamic output feedback controller design for switched Takagi–Sugeno (T-S) fuzzy Itô stochastic systems against multiple time-varying delays as well as intermittent actuator faults and sensor faults. External disturbances are also considered. First, a novel descriptor sliding mode observer (SMO) is investigated to establish the error dynamics. Compared with the existing results, the proposed observer could be utilized to more cases and applied to a wider scope. Next, in light of the online FE information, a fault tolerant controller is suggested to make the closed-loop system mean-square exponentially stable. Furthermore, a novel piecewise fuzzy Lyapunov function is depicted and then the delay dependent sufficient conditions can be got by linear matrix inequalities (LMIs). The designed SMO has less conservatism than the existing ones. The reachability of the sliding mode surface in the estimation error space is assured under the adopted method. And the finite-time boundedness (FTB) issue is discussed. At last, a simulation example is acquired to validate the novelty and validity of the method proposed in the paper.

Suggested Citation

  • Sun, Shaoxin & Wang, Yingchun & Zhang, Huaguang & Sun, Jiayue, 2020. "Multiple intermittent fault estimation and tolerant control for switched T-S fuzzy stochastic systems with multiple time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    • Handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320300837
    DOI: 10.1016/j.amc.2020.125114
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320300837
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125114?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Defever, Fabrice & Imbruno, Michele & Kneller, Richard, 2020. "Trade liberalization, input intermediaries and firm productivity: Evidence from China," Journal of International Economics, Elsevier, vol. 126(C).
    2. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    3. Spyros Galanis, 2021. "Speculative trade and the value of public information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(1), pages 53-68, February.
    4. Wang, Yudong & Xia, Jianwei & Wang, Zhen & Shen, Hao, 2020. "Design of a fault-tolerant output-feedback controller for thickness control in cold rolling mills," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    5. Galanis, S. & Ioannou, C. & Kotronis, S., 2019. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Working Papers 20/05, Department of Economics, City University London.
    6. Paul Levine & Joseph Pearlman & Stephen Wright & Bo Yang, 2019. "Information, VARs and DSGE Models," School of Economics Discussion Papers 1619, School of Economics, University of Surrey.
    7. Mamageishvili, A. & Schlegel, J. C., 2019. "Optimal Smart Contracts with Costly Verification," Working Papers 19/13, Department of Economics, City University London.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Lun Chan, Joseph Chang & Lee, Tae H., 2022. "Observer-based fault-tolerant control for non-infinitely observable descriptor systems with unknown time-varying state and input delays," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    2. Li, Jiahao & Liu, Yu & Yu, Jinyong & Sun, Yiming & Liu, Mengmeng, 2021. "A new result of terminal sliding mode finite-time state and fault estimation for a class of descriptor switched systems," Applied Mathematics and Computation, Elsevier, vol. 402(C).
    3. Selvaraj, P. & Kwon, O.M. & Lee, S.H. & Sakthivel, R., 2022. "Disturbance rejections of interval type-2 fuzzy systems under event-triggered control scheme," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    4. Deng, Yalin & Zhang, Huasheng & Dai, Yuzhen & Li, Yuanen, 2022. "Interval stability/stabilization for linear stochastic switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    5. Zhang, Zhi-Hui & Hao, Li-Ying & Guo, Mingjie, 2022. "Fault detection for uncertain nonlinear systems via recursive observer and tight threshold," Applied Mathematics and Computation, Elsevier, vol. 414(C).
    6. Sun, Shaoxin & Li, Ting & Pang, Yongheng & Hua, Xingxing, 2022. "Multiple delay-dependent event-triggered finite-time H∞ filtering for uncertain networked random systems against state and input constraints," Applied Mathematics and Computation, Elsevier, vol. 415(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Fa, Kwok Sau, 2020. "A class of nonlinear Langevin equation with the drift and diffusion coefficients separable in time and space driven by different noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Liu, Changqing & He, Yigang & Peng, Guanghan, 2019. "The stabilization effect of self-delayed flux integral for two-lane lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Torres-Vargas, G. & Fossion, R. & Méndez-Bermúdez, J.A., 2020. "Normal mode analysis of spectra of random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    4. Kowalski, A.M. & Plastino, A., 2019. "A nonlinear matter-field Hamiltonian analyzed with Renyi and Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    5. Cebreiros, Florencia & Clavijo, Leonardo & Boix, Elzeario & Ferrari, Mario Daniel & Lareo, Claudia, 2020. "Integrated valorization of eucalyptus sawdust within a biorefinery approach by autohydrolysis and organosolv pretreatments," Renewable Energy, Elsevier, vol. 149(C), pages 115-127.
    6. Algaba, Encarnación & Béal, Sylvain & Fragnelli, Vito & Llorca, Natividad & Sánchez-Soriano, Joaquin, 2019. "Relationship between labeled network games and other cooperative games arising from attributes situations," Economics Letters, Elsevier, vol. 185(C).
    7. Nunes, Maria Eugênia Silva & de Mello Silva, Érica & Martins, Paulo H.L. & Florencio, João & Plascak, J.A., 2020. "Dynamics of the one-dimensional isotropic Heisenberg model with Dzyaloshinskii–Moryia interaction in a random transverse field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).
    8. Wu, Jing Cynthia & Zhang, Ji, 2019. "A shadow rate New Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 107(C), pages 1-1.
    9. Aldakheel, F. & Ismail, M.S. & Hughes, K.J. & Ingham, D.B. & Ma, L. & Pourkashanian, M. & Cumming, D. & Smith, R., 2020. "Gas permeability, wettability and morphology of gas diffusion layers before and after performing a realistic ex-situ compression test," Renewable Energy, Elsevier, vol. 151(C), pages 1082-1091.
    10. Zhu, Wen-Xing & Zhang, Jing-Yu & Song, Ze-Rui, 2019. "Study on braking process of vehicles at the signalized intersection based on car-following theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1306-1314.
    11. Liu, Hong & Gao, Yuhang & Tisdell, Clement A. & Wang, Fei, 2020. "Are housing property rights important for fertility outcomes in China? Empirical evidence and policy issues," Economic Analysis and Policy, Elsevier, vol. 65(C), pages 211-223.
    12. Nagatani, Takashi, 2019. "Infection promotes species coexistence: Rock–paper–scissors game with epidemic on graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    13. Jiang, Mengmeng & Westerholm, Maria & Qiao, Wei & Wandera, Simon M. & Dong, Renjie, 2020. "High rate anaerobic digestion of swine wastewater in an anaerobic membrane bioreactor," Energy, Elsevier, vol. 193(C).
    14. Borjas, George J. & Cassidy, Hugh, 2019. "The wage penalty to undocumented immigration," Labour Economics, Elsevier, vol. 61(C).
    15. Nataj, Sarah & Lui, S.H., 2020. "Superlinear convergence of nonlinear conjugate gradient method and scaled memoryless BFGS method based on assumptions about the initial point," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    16. Ishihara, Masamichi, 2020. "Derivation of density operators for generalized entropies with quantum analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 543(C).
    17. Ou, Hui & Wang, Tao & Tang, Tie-Qiao, 2019. "Analysis of trip cost in a two-lane traffic corridor with one entry and one exit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 65-72.
    18. Birol, Fatih & Okogu, Bright E., 1997. "Purchasing-Power-Parity (PPP) approach to energy-efficiency measurement: Implications for energy and environmental policy," Energy, Elsevier, vol. 22(1), pages 7-16.
    19. Sen, Parongama, 2020. "Scaling and crossover behaviour in a truncated long range quantum walk," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    20. Gargiulo, Nicola & Peluso, Antonio & Aprea, Paolo & Marino, Ottavio & Cioffi, Raffaele & Jannelli, Elio & Cimino, Stefano & Lisi, Luciana & Caputo, Domenico, 2019. "Chromium-based MIL-101 metal organic framework as a fully regenerable D4 adsorbent for biogas purification," Renewable Energy, Elsevier, vol. 138(C), pages 230-235.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320300837. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.