Controlling a class of hyperbolic distributed parameter systems producing ideal turbulence

Author

Suzuki, M. ; Imura, J. ; Aihara, K.

Author_Institution

FIRST Aihara Innovative Math. Modelling Project, JST, Japan

fYear

2011

fDate

June 29 2011-July 1 2011

Firstpage

5103

Lastpage

5108

Abstract

We try to stabilize steady solutions of physical models described by a class of first-order linear partial differential equations with nonlinear boundary conditions. These systems are distributed parameter systems in which ideal turbulence, introduced by Sharkovsky et al., occurs. In this report, using the method of characteristics, we design a control law to stabilize equilibrium solutions and synchronize a pair of the distributed parameter systems.

Keywords

control system synthesis; distributed control; partial differential equations; stability; synchronisation; vibration control; characteristics method; control law design; distributed parameter system synchronization; equilibrium solution stability; first-order linear partial differential equation; hyperbolic distributed parameter system; ideal turbulence; nonlinear boundary condition; spatio-temporal vibration phenomenon; Boundary conditions; Chaos; Difference equations; Distributed parameter systems; Mathematical model; Power transmission lines; Synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2011

Conference_Location

San Francisco, CA

ISSN

0743-1619

Print_ISBN

978-1-4577-0080-4

Type

conf

DOI

10.1109/ACC.2011.5991199

Filename

5991199