Optimal actuator/sensor placement for nonlinear control of the Kuramoto-Sivashinsky equation

Author

Lou, Yiming ; Christofides, Panagiotis D.

Author_Institution

Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA

Volume

6

fYear

2002

fDate

2002

Firstpage

4401

Abstract

In this work, we use the methodology that was recently proposed by Antoniades et al. (2001) to compute the optimal actuator/sensor locations for the stabilization, via nonlinear static output feedback control of the zero solution of the Kuramoto-Sivashinsky equation (KSE) for values of the instability parameter for which this solution is unstable. The theoretical results are illustrated through computer simulations of the closed-loop system using a high-order discretization of the KSE.

Keywords

closed loop systems; multidimensional systems; nonlinear control systems; optimisation; partial differential equations; stability; state feedback; Kuramoto-Sivashinsky equation; actuator sensor locations; high-order discretization; infinite-dimensional system; instability closed-loop system; nonlinear control; nonlinear partial differential equation; optimisation; stabilization; static output feedback; Chemical sensors; Control systems; Ear; Feedback control; Hydraulic actuators; Moment methods; Nonlinear equations; Optimal control; Output feedback; Sensor systems;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1025339

Filename

1025339