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

This paper studies the problem of the finite-time H-infinity 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(infinity )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-infinity 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.

Automated summary

This paper investigates the problem of finite-time H-infinity control in blood gases system during extracorporeal circulation, using a T-S fuzzy model and considering bounded disturbance. By designing an observer-based fuzzy controller, the closed-loop system is ensured to be finite-time bounded with H-infinity performance. The proposed methodology has practical significance in blood gas system control.