同龄林收获调整的最优控制问题探讨

从最优控制理论的观点看,森林收获调整可认为是对森林资源系统实施最优控制(造林、采伐)的过程。作者用状态空间分析法导出了系统的状态方程,表明它是系统状态的一种反馈控制。作者提出了森林资原系统的期望稳定状态,将前人称为法正森林状态的理想森林以其特例的形式包含在其中。以期望稳定状态作为终端条件,结合控制约束,建立了线性离散收获调整最优控制模型。在讨论了极大值原理对模型的求解以后,将模型进行等价转换,化成了一个数学规划模型。用一个实例验证了模型的实用性。

Studies on the Problem of Optimal Control Theory in Evenaged Forest Harvesting Regulation

From the point of view of optimal control theory,Forest Harvesting Regulation (FHR) can be qualified as the process of carrying outoptimal control——cutting and regeneration——of a forest resource system.This paper derives the State Equation in the system by means of State Space Analysis,which indicates a feedback control of the system state.Ideal forest,the so called Normal Forest State,is only a special form of the Expected Stationary State (ESS) which is developed in this article.A Linear Discrete Optimal Control Model for FHR is established by taking the ESS as a terminal condition and combining it with control constraints.The authors discuss a method for solving the model using the Maximal Principle.Finally,the optimal control model is converted into a mathematical programming model.An example is given.