最优非线性阻尼控制的收敛动力学
Convergent dynamics of optimal nonlinear damping control
摘要：
本文根据Demidovich关于收敛系统的概念和定义，分析了最近提出的二阶系统的最优非线性阻尼控制。针对输出调节问题，相应地跟踪$\mathcal{C}^1$ -轨迹，证明了控制系统的所有解是全局一致渐近稳定的.在Demidovich收敛动力学的意义下，证明了在控制误差及其时间导数坐标原点上存在唯一极限解。同时还提供了解释性的数值例子和分析。
英文摘要：
Following Demidovich's concept and definition of convergent systems, we analyze the optimal nonlinear damping control, recently proposed [1] for the second-order systems. Targeting the problem of output regulation, correspondingly tracking of $\mathcal{C}^1$-trajectories, it is shown that all solutions of the control system are globally uniformly asymptotically stable. The existence of the unique limit solution in the origin of the control error and its time derivative coordinates are shown in the sense of Demidovich's convergent dynamics. Explanative numerical examples are also provided along with analysis.
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