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Finite-time contractive boundedness of extracorporeal blood circulation process

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  • Joby, Maya
  • Santra, Srimanta
  • Anthoni, S. Marshal

Abstract

This paper proposes, finite-time contractive stability for a state space model of extra-corporeal blood circulation (ECC). Firstly, by virtue of an appropriately chosen Lyapunov function some sufficient inequality-based conditions for the existence of an observer-based controller has been proposed. Secondly, a non-fragile observer-based control is designed in such a way that it will withstand the impacts of uncertainties in controller and observer gains and therein guarantees H∞ finite-time contractive boundedeness of the overall dynamics of the system. The sufficient conditions derived are presented in a LMI frame work. In simulation results we address the finite-time contractive boundedness of the ECC model. The numerical simulations are conducted and discussed which validates the performance of the proposed algorithm.

Suggested Citation

  • Joby, Maya & Santra, Srimanta & Anthoni, S. Marshal, 2021. "Finite-time contractive boundedness of extracorporeal blood circulation process," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    • Handle: RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320304707
    DOI: 10.1016/j.amc.2020.125527
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    References listed on IDEAS

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    1. Li, Min & Huang, Qinzhen, 2019. "Non-fragile passive control for Markovian jump systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Huang, Zhengguo & Xia, Jianwei & Wang, Jing & Wang, Jian & Shen, Hao, 2020. "Observer-based finite-time bounded analysis for switched inertial recurrent neural networks under the PDT switching law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 538(C).
    3. Xiong, Jun & Chang, Xiao-Heng & Yi, Xiaojian, 2018. "Design of robust nonfragile fault detection filter for uncertain dynamic systems with quantization," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 774-788.
    4. Tai, Weipeng & Teng, Qingyong & Zhou, Youmei & Zhou, Jianping & Wang, Zhen, 2019. "Chaos synchronization of stochastic reaction-diffusion time-delay neural networks via non-fragile output-feedback control," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 115-127.
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    Citations

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    Cited by:

    1. Zhiguo Yan & Zhiwei Zhang & Guolin Hu & Baolong Zhu, 2022. "Observer-Based Finite-Time H ∞ Control of the Blood Gases System in Extracorporeal Circulation via the T-S Fuzzy Model," Mathematics, MDPI, vol. 10(12), pages 1-15, June.
    2. Jing Sheng & Yunhai Geng & Min Li & Baolong Zhu, 2023. "Finite-Time Contractive Control of Spacecraft Rendezvous System," Mathematics, MDPI, vol. 11(8), pages 1-14, April.
    3. Guo, Mengyu & Wang, Peiguang, 2024. "Finite-time stability of non-instantaneous impulsive systems with double state-dependent delays," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    4. You, Luyao & Yang, Xueyan & Wu, Shuchen & Li, Xiaodi, 2023. "Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    5. Liang Zhu & Baolong Zhu & Zhiguo Yan & Guolin Hu, 2022. "Finite-Time Contractively Bounded Control of Positive Linear Systems under H ∞ Performance and Its Application to Pest Management," Mathematics, MDPI, vol. 10(12), pages 1-13, June.

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