Adaptive H∞ consensus control for distributed parameter systems of hyperbolic type

Author

Miyasato, Yoshihiko

Author_Institution

Dept. of Math. Anal. & Stat. Inference, Inst. of Stat. Math., Tachikawa, Japan

fYear

2013

fDate

28-30 Aug. 2013

Firstpage

1018

Lastpage

1023

Abstract

A design methodology of adaptive H_∞ consensus control of multi-agent systems composed of a class of infinite-dimensional systems is provided in this paper. The proposed control scheme is derived as a solution of certain H_∞ control problem, where the effects of neglected infinite-dimensional modes and the imperfect knowledge of the leader are regarded as external disturbances to the process. It is shown that the resulting control system is robust to uncertain system parameters and that the desirable consensus tracking is achieved approximately via the adaptation scheme.

Keywords

H^∞ control; adaptive control; distributed parameter systems; multi-robot systems; multidimensional systems; robust control; uncertain systems; H_∞ control problem; adaptation scheme; adaptive H_∞ consensus control; consensus tracking; control scheme; distributed parameter system; external disturbance; hyperbolic type; infinite-dimensional mode; infinite-dimensional system; leader imperfect knowledge; multiagent system; robust control system; uncertain system parameter; Distributed parameter systems; Eigenvalues and eigenfunctions; Equations; Multi-agent systems; Process control; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Applications (CCA), 2013 IEEE International Conference on

Conference_Location

Hyderabad

ISSN

1085-1992

Type

conf

DOI

10.1109/CCA.2013.6662885

Filename

6662885