无模型控制的变分与辛框架：初步结果
A variational and symplectic framework for model-free control: preliminary results
AI总结：
本文提出一种基于变分法和辛结构的无模型控制自适应框架，通过优化控制器关键参数提高跟踪鲁棒性和闭环稳定性。
摘要：
无模型控制方法是一种先进的控制律，只需很少的过程信息即可进行控制。自2008年提出以来，已成功应用于众多领域，展现出对跟踪效率和干扰抑制的鲁棒性。本文提出无模型控制的变分方法以扩展其鲁棒性能力。利用辛框架下的变分法，提出控制器的自适应公式，将控制律视为优化问题以实现其主要关键参数的自整定。所提公式将无模型控制律与变分积分器耦合，以提高对过程变化的跟踪鲁棒性并强调闭环稳定性。通过一些示例讨论以证明所提方法的正确性。
英文摘要：
The model-free control approach is an advanced control law that requires few information about the process to control. Since its introduction in 2008, numerous applications have been successfully considered, highlighting attractive robustness properties towards tracking efficiency and disturbance rejection. In this work, a variational approach of the model-free control is proposed in order to extend its robustness capabilities. An adaptive formulation of the controller is proposed using the calculus of variations within a symplectic framework, that aims to consider the control law as an optimization problem toward the auto-tuning of its main key parameter. The proposed formulation provides a coupling between the model-free control law and a variational integrator to improve the robustness of the tracking towards process changes and emphasize closed-loop stabilization. Some illustrative examples are discussed to highlight the rightness of the proposed approach.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
