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Convergent dynamics of optimal nonlinear damping control

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arxiv 2106.00962 v1 pith:CHXUO7GR submitted 2021-06-02 eess.SY cs.SYmath.OC

Michael Ruderman This is my paper · ORCID
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keywords controlconvergentdampingdemidovichdynamicsnonlinearoptimalsystems
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abstract

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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