Vector control Lyapunov functions as a tool for decentralized and distributed control

Author

Karafyllis, Iasson ; Zhong-Ping Jiang

Author_Institution

Dept. of Environ. Eng., Tech. Univ. of Crete, Chania, Greece

fYear

2013

fDate

23-26 June 2013

Firstpage

1

Lastpage

6

Abstract

This paper presents a novel tool based on vector control Lyapunov functions for complex nonlinear control systems. It is shown that the existence of a vector control Lyapunov function is a necessary and sufficient condition for the existence of a smooth globally stabilizing feedback. This main result is then applied to the problem of designing globally stabilizing feedback laws for nonlinear systems. Practically checkable sufficient conditions are proposed to guarantee the existence of a smooth globally stabilizing feedback law.

Keywords

Lyapunov methods; decentralised control; distributed control; feedback; large-scale systems; nonlinear control systems; complex nonlinear control systems; decentralized control; distributed control; necessary condition; practically checkable sufficient conditions; smooth globally stabilizing feedback law design; vector control Lyapunov functions; Large-scale systems; Lyapunov methods; Nonlinear systems; Robust control; Stability analysis; Sufficient conditions; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ASCC), 2013 9th Asian

Conference_Location

Istanbul

Print_ISBN

978-1-4673-5767-8

Type

conf

DOI

10.1109/ASCC.2013.6606069

Filename

6606069