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

<p>Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.</p>
</abstract>

Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.

Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems

International Journal of Applied Mathematics and Computer Science

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

Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is...

Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems

Publicado en línea: 29 mar 2023

Páginas: 83 - 96

Recibido: 05 mar 2022

Aceptado: 12 sept 2022

DOI: https://doi.org/10.34768/amcs-2023-0007

Palabras clave
output feedback, decentralized controller, homotopy method, interconnected system, matrix inequality

© 2023 Helisyah Nur Fadhilah et al., published by Sciendo

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

Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems

Publicado en línea: 29 mar 2023

Páginas: 83 - 96

Recibido: 05 mar 2022

Aceptado: 12 sept 2022

DOI: https://doi.org/10.34768/amcs-2023-0007

Palabras claveoutput feedback, decentralized controller, homotopy method, interconnected system, matrix inequality

© 2023 Helisyah Nur Fadhilah et al., published by Sciendo

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

Palabras clave
output feedback, decentralized controller, homotopy method, interconnected system, matrix inequality