Observer-Based Finite-Time H ∞ Control of the Blood Gases System in Extracorporeal Circulation via the T-S Fuzzy Model

Zhiguo Yan, Zhiwei Zhang, Guolin Hu and Baolong Zhu
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Zhiguo Yan: School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Zhiwei Zhang: School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Guolin Hu: School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China
Baolong Zhu: School of Information and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China

Mathematics, 2022, vol. 10, issue 12, 1-15

Abstract: This paper studies the problem of the finite-time H ∞ control of the blood gases system, presented as a T-S fuzzy model with bounded disturbance during extracorporeal circulation. The aim was to design an observer-based fuzzy controller to ensure that the closed-loop system was finite-time bounded with the H ∞ performance. Firstly, different from the existing results, the T-S fuzzy model of a blood gas control system was developed and a new method was given to process the time derivatives of the membership functions. Secondly, based on the fuzzy Lyapunov function, sufficient conditions for the H ∞ finite-time boundedness of the system were obtained by using Finsler’s lemma and matrix decoupling techniques. Simulation results are provided to demonstrate the effectiveness of the proposed methodology.

Keywords: observer-based fuzzy controller; fuzzy Lyapunov function; T-S fuzzy model; finite-time boundedness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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