<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The minimum energy control problem for the 2D positive continuous-discrete linear systems is formulated and solved. Necessary and sufficient conditions for the reachability at the point of the systems are given. Sufficient conditions for the existence of solution to the problem are established. It is shown that if the system is reachable then there exists an optimal input that steers the state from zero boundary conditions to given final state and minimizing the performance index for only one step (q = 1). A procedure for solving of the problem is proposed and illustrated by a numerical example. </p></abstract>

The minimum energy control problem for the 2D positive continuous-discrete linear systems is formulated and solved. Necessary and sufficient conditions for the reachability at the point of the systems are given. Sufficient conditions for the existence of solution to the problem are established. It is shown that if the system is reachable then there exists an optimal input that steers the state from zero boundary conditions to given final state and minimizing the performance index for only one step (q = 1). A procedure for solving of the problem is proposed and illustrated by a numerical example.

Minimum Energy Control of 2D Positive Continuous-Discrete Linear Systems

Faculty of Electrical Engineering, Bialystok University of Technology, ul. Wiejska 45D, 15-351 Bialystok, Poland

Acta Mechanica et Automatica

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

{"article-title":"Minimum Energy Control of 2D Positive Continuous-Discrete Linear Systems"}

The minimum energy control problem for the 2D positive continuous-discrete linear systems is formulated and solved. Necessary and sufficient conditions for the...

Minimum Energy Control of 2D Positive Continuous-Discrete Linear Systems

Published Online: Dec 20, 2014

Page range: 165 - 168

DOI: https://doi.org/10.2478/ama-2014-0030

Keywords
2D Continuous-Discrete, Linear, Positive, Reachability, Minimum Energy Control

© Bialystok University of Technology

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

Minimum Energy Control of 2D Positive Continuous-Discrete Linear Systems

Published Online: Dec 20, 2014

Page range: 165 - 168

DOI: https://doi.org/10.2478/ama-2014-0030

Keywords2D Continuous-Discrete, Linear, Positive, Reachability, Minimum Energy Control

© Bialystok University of Technology

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

Keywords
2D Continuous-Discrete, Linear, Positive, Reachability, Minimum Energy Control