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Paper details
Number 1 - March 2023
Volume 33 - 2023
Decentralized static output feedback controller design for linear interconnected systems
Helisyah Nur Fadhilah, Dieky Adzkiya, Didik Khusnul Arif, Guisheng Zhai, Mardlijah
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.
Keywords
output feedback, decentralized controller, homotopy method, interconnected system, matrix inequality