Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems

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 dece...

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Bibliographic Details
Published in:International journal of applied mathematics and computer science 2023-03, Vol.33 (1), p.83-96
Main Authors: Fadhilah, Helisyah Nur, Adzkiya, Dieky, Arif, Didik Khusnul, Zhai, Guisheng, Mardlijah
Format: Article
Language:English
Subjects:
Algorithms
Chemical reactions
Control systems design
Controllers
decentralized controller
Design parameters
Feedback control
homotopy method
interconnected system
matrix inequality
Optimization
Output feedback
Subsystems
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Summary: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.
ISSN:1641-876X
2083-8492
DOI:10.34768/amcs-2023-0007