Decentralized static output feedback controller design for linear interconnected systems

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

International Journal of Applied Mathematics and Computer Science, Tome 33 (2023) no. 1, pp. 83-96.

Résumé

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.

Détail

Keywords: output feedback, decentralized controller, homotopy method, interconnected system, matrix inequality
Mots-clés : sprzężenie zwrotne, kontroler zdecentralizowany, metoda homotopii, system połączony, nierówność macierzowa

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