Special decentralized control problems in discrete-time interconnected systems composed of two subsystems

Author

Zhisheng Duan ; Jinzhi Wang ; Lin Huang

Author_Institution

Dept. of Mech. & Eng. Sci., Peking Univ., Beijing, China

fYear

2006

fDate

7-11 Aug. 2006

Firstpage

1080

Lastpage

1085

Abstract

In this paper, some special decentralized control problems are addressed for discrete-time interconnected systems. First it is pointed out that some subsystems must be unstable to ensure stability of the overall system in some special cases. Then a special kind of decentralized control problem is studied. This kind of problem can be viewed as harmonic control among independent subsystems. Research results show that two unstable systems can generate a stable system through some effective cooperations. In addition, linear matrix inequality based decentralized controller design method is also given by using parameter-dependent Lyapunov function method developed for the study of robust stability. Two examples are given to illustrate the results.

Keywords

Lyapunov matrix equations; control system synthesis; decentralised control; discrete time systems; harmonic analysis; interconnected systems; linear matrix inequalities; decentralized control problem; discrete-time interconnected systems; harmonic control; linear matrix inequality; parameter-dependent Lyapunov function; robust stability; Control systems; Distributed control; Interconnected systems; Laboratories; Large-scale systems; Linear matrix inequalities; Lyapunov method; Power system interconnection; Power system stability; Robust stability; Decentralized control; Interconnected systems; Linear matrix inequality (LMI); Parameter-dependent Lyapunov function (PDLF);

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2006. CCC 2006. Chinese

Conference_Location

Harbin

Print_ISBN

7-81077-802-1

Type

conf

DOI

10.1109/CHICC.2006.280538

Filename

4060243