Lyapunov第一方法在非线性控制中的应用解析

Application of Lyapunov Method in Nonlinear Control of the First

Lyapunov方法是进行系统稳定性分析和控制设计的重要工具。一般教材和参考资料上主要讲述的是如何进行稳定性分析,而本文主要对Lyapunov第一方法在非线性控制设计方面的应用进行解析说明。本文首先介绍了Lyapunov第一方法的基本内容,以及在进行控制设计时的注意事项。然后针对具体例子演示了如何应用Lyapunov第一方法进行控制律设计的过程,并对设计的控制律进行了系统仿真验证。

Lyapunov method is an important tool for system stability analysis and control design.The general textbooks and references is mainly about how to analyze the stability,and this paper focuses on the application of Lyapunov method in terms of the nonlinear control design of that.This paper firstly introduces the basic content of the first Lyapunov method,as well as in the control design of the matters needing attention.Then a specific example demonstrates how to apply Lyapunov method to the first process control law is designed,and the control law design of systemsimulation verification.