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Observer-based control for nonlinear neutral type stochastic model with fractional Gaussian noise and input saturation

Author

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  • Sweetha, S.
  • Panneerselvam, V.
  • Tatar, N.
  • Sakthivel, R.

Abstract

This paper discusses the stabilization issue for a class of nonlinear neutral-type stochastic systems subject to time-varying delays, linear fractional uncertainties, actuator faults, input saturation and fractional stochastic noise. Primarily, the derivation analysis for the stability and stabilization for the addressed systems is carried out by adopting a fractional infinitesimal operator. A fault-tolerant controller under saturation effect will be designed in order to guarantee the stabilization of the considered systems. Further, a set of stability criteria is obtained with the help of the fractional infinitesimal operator and by choosing a suitable Lyapunov-Krasovskii functional. These stability criteria are derived in the form of linear matrix inequalities that are solved by the MATLAB LMI toolbox. Finally, simulation results are provided to illustrate the effectiveness of our findings through a numerical example.

Suggested Citation

  • Sweetha, S. & Panneerselvam, V. & Tatar, N. & Sakthivel, R., 2023. "Observer-based control for nonlinear neutral type stochastic model with fractional Gaussian noise and input saturation," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012498
    DOI: 10.1016/j.chaos.2022.113070
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    References listed on IDEAS

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    1. Chen, Weimin & Zhang, Baoyong & Ma, Qian, 2018. "Decay-rate-dependent conditions for exponential stability of stochastic neutral systems with Markovian jumping parameters," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 93-105.
    2. Khosro Khandani & Vahid Johari Majd & Mahdieh Tahmasebi, 2017. "Integral sliding mode control for robust stabilisation of uncertain stochastic time-delay systems driven by fractional Brownian motion," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(4), pages 828-837, March.
    3. Cui, Kaiyan & Song, Zhanjie & Zhang, Shuo, 2022. "Stability of neutral-type neural network with Lévy noise and mixed time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    4. Luo, Jinnan & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Chen, Hao & Gu, Xian-Ming & Wang, Wenqin, 2017. "Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 109-128.
    5. Lu, Shi & Zhang, Weihai, 2019. "Robust H∞ filtering and control for a class of linear systems with fractional stochastic noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    6. Hamid, Syeda Rabiya & Nazir, Muhammad Shahid & Rehan, Muhammad & ur Rashid, Haroon, 2019. "New results on regional observer-based stabilization for locally Lipchitz nonlinear systems," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 173-184.
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    Cited by:

    1. Azhdari, Meysam & Binazadeh, Tahereh, 2023. "Robust limit cycle control for finite-time generation of sustained oscillations in nonlinear systems with mixed dead-zone and saturation," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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