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

Author

Lou, Yiming ; Christofides, Panagiotis D.

Author_Institution

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

Volume

11

Issue

5

fYear

2003

Firstpage

737

Lastpage

745

Abstract

In this paper, we use a methodology that was recently proposed by Antoniades and Christofides (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

Galerkin method; feedback; nonlinear control systems; optimal control; partial differential equations; Kuramoto-Sivashinsky equation; closed-loop system; computer simulations; high-order discretization; instability parameter; nonlinear control; nonlinear static output feedback control; optimal actuator/sensor placement; stabilization; Adaptive control; Control systems; Differential equations; Hydraulic actuators; Linear feedback control systems; Nonlinear equations; Optimal control; Output feedback; Partial differential equations; Sensor systems;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/TCST.2003.816405

Filename

1230158