Abstract: The plant factory and crop system is studied, combining the theory of nonlinear singular perturbation theory related to control the environment within the plant factory. Firstly, based on the dynamic model, the relationship between the state variables of the plant and the plant is described, then the optimal control model about temperature is established, and the general formula for the optimal control model is established, too. Based on the singular perturbation theory the nonlinear plant factory and crop system is decomposed into a fast-slow system. Using the double time scale in the system, slow and fast subsystems of the cost function are designed respectively. Finally, the optimal control curve is obtained through the MATLAB software simulation, the results show that the controller can effectively control plant factory internal temperature, can guarantee the heating time on plant factory shortest, in order to realize the optimal revenue of plant factory.

Key words: plant factory, optimal control, cost function, singular perturbation

摘要： 通过研究植物工厂与作物系统，结合非线性奇异摄动理论相关理论对植物工厂内部环境进行控制。首先阐述了基于能量角度对植物工厂与作物结合的动态模型描述各个系统状态变量之间的关系，然后建立了关于温度的最优控制模型，并将最优控制模型进行一般公式化。基于奇异摄动理论将非线性植物工厂与作物系统分解成快慢系统。利用系统中的双重时间尺度，分别设计出慢子系统和快子系统的成本函数。最后通过MATLAB软件进行仿真，得出最优控制曲线，结果表明得出的控制器能有效地控制植物工厂内部温度，并能保证对植物工厂加热时间最短，以实现植物工厂收益最高。

关键词: 植物工厂, 最优控制, 成本函数, 奇异摄动