基于PID增益选择的二阶系统自适应反推控制
Leveraging PID Gain Selection Towards Adaptive Backstepping Control for a Class of Second-Order Systems
摘要：
在这项工作中，我们建立了一个方便的自适应反推控制律和一个标准的比例积分微分（PID）控制器的一类二阶系统之间的相似性。提取的相似性提供了一个更深入的理解，从性能的角度来看，通过一个直观的方法来选择其抽象的控制器增益，在其传统的稳定性的角度。这种相似性分析为研究人员使用成熟的PID整定方法来预测基于李雅普诺夫稳定性的控制器的性能打开了大门。同时，所得到的配方揭示了如何相应的PID控制律可以连接到李雅普诺夫稳定性理论。
英文摘要：
In this work, we establish a convenient similarity between an adaptive backstepping control law and a standard proportional-integral-derivative (PID) controller for a class of second-order systems. The extracted similarity provides a deeper understanding of the adaptive backstepping design from a performance perspective via an intuitive method to select its otherwise abstract controller gains, on top of its traditional stability perspective. Such a similarity analysis opens the door for researchers to use well-established PID tuning methods to predict the performance of Lyapunov stability-based controllers. At the same time, the obtained formulation reveals how the corresponding PID control law can be linked to Lyapunov stability theory.
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