数学在控制科学中的应用以四旋翼无人机为例的论文

摘要：

本文以四旋翼无人机为例，探讨了数学在控制科学中的应用。首先，介绍了四旋翼无人机的基本结构和工作原理。然后，分析了四旋翼无人机的运动学和动力学方程，并介绍了PID控制器的原理和应用。最后，通过仿真实验验证了PID控制器的有效性。本文的研究结果表明，数学在控制科学中的应用对于提高四旋翼无人机的控制精度和稳定性具有重要意义。

关键词：数学；控制科学；四旋翼无人机；PID控制器；仿真实验

Abstract:

This paper takes the quadrotor drone as an example to explore the application of mathematics in control science. Firstly, the basic structure and working principle of the quadrotor drone are introduced. Then, the kinematic and dynamic equations of the quadrotor drone are analyzed, and the principle and application of PID controller are introduced. Finally, the effectiveness of the PID controller is verified through simulation experiments. The results of this study show that the application of mathematics in control science is of great significance for improving the control accuracy and stability of quadrotor drones.

Keywords: mathematics; control science; quadrotor drone; PID controller; simulation experiment