International Journal of Applied Mathematics and Computer Science (Mar 2023)

Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems

  • Fadhilah Helisyah Nur,
  • Adzkiya Dieky,
  • Arif Didik Khusnul,
  • Zhai Guisheng,
  • Mardlijah

DOI
https://doi.org/10.34768/amcs-2023-0007
Journal volume & issue
Vol. 33, no. 1
pp. 83 – 96

Abstract

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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.

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