H∞ control for heat exchanger systems modeled by Markovian jump bilinear systems with saturating actuator and time delays

In this paper, the control for the heat exchanger systems is related. According to the traits of the heat exchanger system, a class of Markovian jump bilinear systems with saturating actuator and tim-varying delays is derived. Then the problem of delay-dependent H
∞
stabilization control for this class of Markovian jump bilinear systems is considered. Sufficient conditions for the delay-dependent stability of the closed-loop system via a state feedback control are developed by using stochastic Lyapunov-Krasovskii approach and the H
∞
stabilization control is designed to make the stochastic stable system achieve γ disturbance attenuation. An estimatiton for the domain of attraction of the origin can also be obtained. An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.