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Distributed Temperature Regulator Design for an Air Conditioning System

机译:空调系统的分布式温度调节器设计

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Abstract: In this paper, we propose a design method of distributed temperature regulators for an air conditioning system, which is modeled as a network system composed of second-order subsystems representing the dynamics of air conditioners and thermal diffusion among areas. In the proposed method, to make a distributed regulator design problem tractable, we consider confining the class of distributed controllers to that consisting of second-order subcontrollers, whose network structure is made identical to that of the controlled system. On the basis of this specialization, we derive a necessary and sufficient condition of stabilizing controller parameters. Furthermore, we show that the problem of distributed regulator design can be reduced to a problem of robust state feedback gain design, formulated as guaranteeing a control specification in terms of the H 2 - and H ∞ -norm. The efficiency of our distributed regulator design method is shown through a couple of numerical simulations.
机译:摘要:在本文中,我们提出了一种用于空调系统的分布式温度调节器的设计方法,该方法被建模为一个网络系统,该网络系统由代表空调系统动力学和区域间热扩散的二阶子系统组成。在提出的方法中,为了使分布式调节器的设计问题易于处理,我们考虑将分布式控制器的类限制为由二阶子控制器组成,该子控制器的网络结构与受控系统相同。在此专业化的基础上,我们得出了稳定控制器参数的充要条件。此外,我们表明,可以将分布式调节器设计的问题简化为鲁棒的状态反馈增益设计的问题,该问题可以用公式表示为根据H 2-和H∞-范数来保证控制指标。我们的分布式调节器设计方法的效率通过几个数值模拟得到了证明。

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