A heuristic approach to solving a class of bilinear matrix inequality problems

2002 ◽  
Vol 47 (2) ◽  
pp. 111-119 ◽  
Author(s):  
Feng Zheng ◽  
Qing-Guo Wang ◽  
Tong Heng Lee
Keyword(s):  
Heuristic Approach ◽  
Matrix Inequality ◽  
Bilinear Matrix Inequality

scholarly journals H_∞ state feedback for linear systems with decentralized control inputs

2020 ◽  
Vol 2 (4) ◽  
pp. 219-231
Author(s):  
Helisyah Nur Fadhilah ◽  
Guisheng Zhai ◽  
Dieky Adzkiya ◽  
Erna Apriliani
Keyword(s):  
Linear Systems ◽  
Directed Graph ◽  
Decentralized Control ◽  
State Feedback ◽  
Design Procedure ◽  
Interconnected Systems ◽  
Matrix Inequality ◽  
Numerical Examples ◽  
Bilinear Matrix Inequality

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

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