<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Majority of the optimal control techniques can only be applied successfully if the model of the controlled process is known and it is linear. If the system model is nonlinear, then this nonlinear model can be approximated with different simple, linear models. However, these models are valid only in the neighbourhood of the operating points. The success of the control algorithms is highly dependent on the used linearization methods. The aim of the paper is to compare different optimal control algorithms and linearization methods. The presented optimal control algorithms have been also tested in constrained and unconstrained versions.</p>
</abstract>

Majority of the optimal control techniques can only be applied successfully if the model of the controlled process is known and it is linear. If the system model is nonlinear, then this nonlinear model can be approximated with different simple, linear models. However, these models are valid only in the neighbourhood of the operating points. The success of the control algorithms is highly dependent on the used linearization methods. The aim of the paper is to compare different optimal control algorithms and linearization methods. The presented optimal control algorithms have been also tested in constrained and unconstrained versions.

Theoretical Study of the Unconstrained and Constrained Nonlinear Optimal Discrete Time State Feedback Control

Sapientia Hungarian University of Transylvania

Faculty of Technical and Human Sciences, Târgu Mureş, Department of Electrical Engineering

Acta Universitatis Sapientiae, Electrical and Mechanical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Majority of the optimal control techniques can only be applied successfully if the model of the controlled process is known and it is linear. If the system...

Theoretical Study of the Unconstrained and Constrained Nonlinear Optimal Discrete Time State Feedback Control

Published Online: Dec 30, 2021

Page range: 68 - 81

Received: Oct 10, 2021

Accepted: Nov 19, 2021

DOI: https://doi.org/10.2478/auseme-2021-0006

Keywords
LQR control, SDRE control, nonlinear system, cost function, constrained control, parameter estimation

© 2021 Katalin György et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Theoretical Study of the Unconstrained and Constrained Nonlinear Optimal Discrete Time State Feedback Control

Published Online: Dec 30, 2021

Page range: 68 - 81

Received: Oct 10, 2021

Accepted: Nov 19, 2021

DOI: https://doi.org/10.2478/auseme-2021-0006

KeywordsLQR control, SDRE control, nonlinear system, cost function, constrained control, parameter estimation

© 2021 Katalin György et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
LQR control, SDRE control, nonlinear system, cost function, constrained control, parameter estimation