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

<p>The paper is devoted to a particular case of the nonlinear and nonautonomous control law design problem based on the application of the optimization approach. Close attention is paid to the controlled plants, which are presented by affine-control mathematical models characterized by integral quadratic functionals. The proposed approach to controller design is based on the optimal damping concept firstly developed by V.I. Zubov in the early 1960s. A modern interpretation of this concept allows us to construct effective numerical procedures of control law synthesis initially oriented to practical implementation. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterization of a set of admissible items for this functional. As a particular case, a new method of this parameterization has been developed, which can be used for constructing an approximate solution to the classical optimization problem. Applicability and effectiveness of the proposed approach are confirmed by a practical numerical example.</p>
</abstract>

The paper is devoted to a particular case of the nonlinear and nonautonomous control law design problem based on the application of the optimization approach. Close attention is paid to the controlled plants, which are presented by affine-control mathematical models characterized by integral quadratic functionals. The proposed approach to controller design is based on the optimal damping concept firstly developed by V.I. Zubov in the early 1960s. A modern interpretation of this concept allows us to construct effective numerical procedures of control law synthesis initially oriented to practical implementation. The main contribution is the proposition of a new methodology for selecting the functional to be damped. The central idea is to perform parameterization of a set of admissible items for this functional. As a particular case, a new method of this parameterization has been developed, which can be used for constructing an approximate solution to the classical optimization problem. Applicability and effectiveness of the proposed approach are confirmed by a practical numerical example.

An approximate solution of the affine-quadratic control problem based on the concept of optimal damping

International Journal of Applied Mathematics and Computer Science

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

The paper is devoted to a particular case of the nonlinear and nonautonomous control law design problem based on the application of the optimization approach....

An approximate solution of the affine-quadratic control problem based on the concept of optimal damping

Published Online: Apr 03, 2021

Page range: 5 - 15

Received: Jun 05, 2020

Accepted: Nov 26, 2020

DOI: https://doi.org/10.34768/amcs-2021-0001

Keywords
feedback, stability, damping control, functional, optimization

© 2021 Evgeny I. Veremey, published by Sciendo

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

An approximate solution of the affine-quadratic control problem based on the concept of optimal damping

Published Online: Apr 03, 2021

Page range: 5 - 15

Received: Jun 05, 2020

Accepted: Nov 26, 2020

DOI: https://doi.org/10.34768/amcs-2021-0001

Keywordsfeedback, stability, damping control, functional, optimization

© 2021 Evgeny I. Veremey, published by Sciendo

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

Keywords
feedback, stability, damping control, functional, optimization