Set-point boundary control for a Kuramoto-Sivashinsky equation

Author

Byrnes, C.I. ; Gilliam, D.S. ; Hu, C.

Author_Institution

Washington Univ., St. Louis, MO

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

75

Lastpage

80

Abstract

This work is concerned with a set point control problem for a one dimensional Kuramoto-Sivashinsky equation. The objective is to design dynamic and static controllers to drive the state of the plant at the ends of the spatial domain to desired constant reference values. To solve this problem we employ the same zero dynamics design methodology recently used to solve a variety of tracking and disturbance rejection problems for linear and nonlinear systems. Since there is not sufficient room here to present complete details of the proofs we outline the main steps and refer to a forthcoming more general work for complete proofs. In this paper we describe both dynamic and static control laws and present a numerical example

Keywords

control system synthesis; linear systems; nonlinear systems; disturbance rejection problems; dynamic control laws; dynamic controllers; linear systems; nonlinear systems; one dimensional Kuramoto-Sivashinsky equation; set-point boundary control; static control laws; static controllers; tracking rejection problems; Closed loop systems; Control systems; Design methodology; Equations; Error correction; Mathematics; Nonlinear systems; Stability; Statistics; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377117

Filename

4177069