H_∞ state feedback for linear systems with decentralized control inputs

Helisyah Nur Fadhilah (Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia)
Guisheng Zhai (Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama, Japan)
Dieky Adzkiya (Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia)
Erna Apriliani (Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia)

Science Nature
Vol 2 No 4 (2019): SCIENCE NATURE

This paper considers state feedback with decentralized structure for interconnected systems. The connection between subsystems is described by a directed graph. To design a decentralized controller, we use the information from its own subsystem and other subsystems based on the interconnection. Decentralized controller is defined as a solution of bilinear matrix inequality (BMI) problem, which is then solved by using the homotopy approach. Two numerical examples are performed to show validity of the design procedure