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H#x221E; control for heat exchanger systems modeled by Markovian jump bilinear systems with saturating actuator and time delays

机译：Markovian跳跃双线性系统建模的热交换器系统的控制器控制，具有饱和致动器和时间延迟

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摘要

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.
机译：在本文中，热交换器系统的控制是相关的。根据热交换器系统的特性，推导了一类具有饱和致动器和Tim-变化延迟的马尔可夫跳犬系统。然后考虑了延迟依赖的H ∞对这类马尔可维亚跳跃双线性系统的稳定控制问题。通过使用随机Lyapunov-Krasovskii方法开发了通过状态反馈控制的闭环系统的延迟依赖性稳定性的充分条件，H ∞稳定控制旨在使随机稳定系统实现γ扰动衰减。还可以获得原点的吸引领域的估算率。提供了说明性数值例子以证明所提出的方法的有效性。

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