Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)83-96
Number of pages14
JournalInternational Journal of Applied Mathematics and Computer Science
Issue number1
Publication statusPublished - 1 Mar 2023


  • decentralized controller
  • homotopy method
  • interconnected system
  • matrix inequality
  • output feedback


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