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  4. A novel adaptive Runge–Kutta controller for nonlinear dynamical systems

A novel adaptive Runge–Kutta controller for nonlinear dynamical systems

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Author(s)
Uçak, Kemal
Date Issued
May 5, 2021
Publisher
Springer Berlin Heidelberg
Version
Author's final manuscript
Abstract
Abstract This paper introduces a new Runge–Kutta (RK) integration-based adaptive controller by considering control law as an ODE for nonlinear MIMO systems. It is aimed to derive a novel adaptive controller by regarding the control law as an ODE with limited information about control law structure. Adaptive parameters are adjusted via an RK predictive system model where Levenberg–Marquardt (LM) technique is deployed. The adjustment mechanism enables to utilize RK both in adaptive controller and system model. The performance evaluation has been delved into on Van de Vusse (VdV) system for diverse situations, and reasonable results have been acquired for introduced adaptation mechanism.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
https://hdl.handle.net/1721.1/136925.2
DOI of Published Version
https://doi.org/10.1007/s00500-021-05792-4
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