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

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