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Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution

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  • Luo, Jinnan
  • Tian, Wenhong
  • Zhong, Shouming
  • Shi, Kaibo
  • Chen, Hao
  • Gu, Xian-Ming
  • Wang, Wenqin

Abstract

This study constructs and investigates the non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution. The system not only contains the randomly occurring uncertainties of all parameters (ROUAPs) and stochastic disturbances in the system model, but also includes randomly gain perturbations in the controller. By introducing the stochastic variables, a new model structure is built obeying Bernoulli distribution to describe the system and the controller. Moreover, a modified Lyapunov–Krasovskii function (LKF) is constructed, combining Itô’s differential formula and free-weighting matrix method, less conservative results are presented in terms of the linear matrix inequality (LMI). Furthermore, an observer-based non-fragile asynchronous H∞ controller is designed without any limits on the system parameters. Finally, three numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:312:y:2017:i:c:p:109-128
    DOI: 10.1016/j.amc.2017.05.003
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    References listed on IDEAS

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    Cited by:

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    2. Mutti-Ur Rehman & Jehad Alzabut & Taqwa Ateeq & Jutarat Kongson & Weerawat Sudsutad, 2022. "The Dual Characterization of Structured and Skewed Structured Singular Values," Mathematics, MDPI, vol. 10(12), pages 1-10, June.
    3. Luo, Jinnan & Liu, Xinzhi & Tian, Wenhong & Zhong, Shouming & Shi, Kaibo & Cheng, Jun, 2020. "A new approach to generalized dissipativity analysis for fuzzy systems with coupling memory sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    4. Mi, Wen & Rao, Hangmei & Qian, Tao & Zhong, Shouming, 2019. "Identification of discrete Hammerstein systems by using adaptive finite rational orthogonal basis functions," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 354-364.
    5. 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).
    6. Zhan, Tao & Ma, Shuping & Chen, Hao, 2019. "Impulsive stabilization of nonlinear singular switched systems with all unstable-mode subsystems," Applied Mathematics and Computation, Elsevier, vol. 344, pages 57-67.

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