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RESEARCH PRODUCT

Convergent dynamics of optimal nonlinear damping control

Michael Ruderman

subject

Control and Systems EngineeringOptimization and Control (math.OC)FOS: Electrical engineering electronic engineering information engineeringFOS: MathematicsVDP::Matematikk og Naturvitenskap: 400Systems and Control (eess.SY)Electrical Engineering and Systems Science - Systems and ControlMathematics - Optimization and Control

description

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.

yearjournalcountryeditionlanguage
2021-06-02
https://dx.doi.org/10.48550/arxiv.2106.00962