连续时间的蒙代尔-弗莱明模型可控性及其仿真

Control and Simulation of the Continuous Time Mundell-Fleming Model

  • 摘要: 本文旨在现代经济学的标准假设下,证明连续时间的蒙代尔-弗莱明模型的可控性.建立连续时间的蒙代尔-弗莱明动态模型,研究连续时间的蒙代尔-弗莱明模型的动态结构特征,设计其控制律,得到连续时间蒙代尔-弗莱明动态模型反馈控制律的解析解并进行仿真分析.研究表明:连续时间蒙代尔-弗莱明动态系统具有完全能观性、能控性和能达性等结构特征;连续时间蒙代尔-弗莱明动态系统可以任意配置其极点,使其系统渐近稳定,达到输出调节并具有满意的动态性能.根据系统参数的经济意义和模型要求进行仿真试验设计,仿真结果验证了所设计的反馈控制律对连续时间蒙代尔-弗莱明模型动态系统控制的有效性.

     

    Abstract: The objective of this study is to confirm that the Mundell-Fleming model has controllability under standard suppositions of modern economics. We use the cybernetics method to establish a continuous time Mundell-Fleming model and then investigate the dynamic structure characteristic of the model and its control law design. Next, we obtain analytical solutions for the control law of the continuous time Mundell-Fleming model and perform some simulations. Our results show that the continuous time Mundell-Fleming system has complete observability, reachability, and controllability. In addition, we determined that the closed-loop poles of the model can be assigned arbitrarily, which makes the system asymptotically stable and able to achieve output regulation and good dynamic performance. We designed simulation experiments based on the requirements of the system and the economic aspects of the model parameters. Our simulation results verify the effectiveness of the control law for the Mundell-Fleming model.

     

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