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Linear Quadratic Optimal Control Applied to the Greenhouse Temperature Hierarchal System

机译:适用于温室温度等级系统的线性二次最优控制

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Optimal greenhouse temperature management systems as hierarchical systems have been employed to achieve suitable conditions for crop growth. The system is generally decomposed into upper and lower layers. The lower layer usually includes online controllers that try to cancel tracking errors of temperature set points obtained from the upper layer. However, as the greenhouse temperature is highly non-linear, the problem of lower layer controller design becomes very complex and the online computational demands are great, which limit the practical applications of hierarchical systems. This paper presents the design of a practical greenhouse temperature hierarchical control approach. In lower layer, a linear quadratic optimal controller with heater inputs is used. The strategy is based on a linearised model achieved by using an accurate linearisation method for an inside temperature non-linear physical model which can be described as an affine non-linear one. The controller is designed by means of finding a trade-off between set point tracking and cost requirements reduction. The upper layer calculates optimal temperature trajectories by minimising net costs. Performance of the hierarchical control system is studied in simulation. The results show that the upper layer controller can effectively achieve the set point and that the lower layer controller can contribute to a good control performance with a minor cost increment.
机译:最佳的温室温度管理系统作为分层系统已被用于实现作物生长的适当条件。该系统通常被分解成上层和下层。下层通常包括在线控制器,其尝试取消从上层获得的温度设定点的跟踪误差。然而,随着温室温度高度线性的,下层控制器设计的问题变得非常复杂,在线计算需求很大,这限制了层次系统的实际应用。本文介绍了实用温室温度等级控制方法的设计。在较低层中,使用具有加热器输入的线性二次最佳控制器。该策略基于通过使用用于内部温度非线性物理模型的精确线性化方法来实现的线性化模型,该方法可以描述为仿射非线性的模型。控制器是通过在设定点跟踪和成本需求减少之间找到权衡的折衷所设计的。通过最小化净成本,上层计算最佳温度轨迹。在仿真中研究了分层控制系统的性能。结果表明,上层控制器可以有效地实现设定点,并且下层控制器可以以较小的成本增量有助于良好的控制性能。

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