Reduced order methods for nonlinear infinite dimensional control systems

Author

Ito, Kazufumi ; Ravindran, S.S.

Author_Institution

Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA

Volume

3

fYear

1997

fDate

10-12 Dec 1997

Firstpage

2213

Abstract

In this article we discuss nonlinear distributed parameter control problems and the application of the reduced basis element method for the construction of lower-order compensator design. The several methods for generation of reduced basis elements are introduced and then we outline how to use such elements in terms of the design of finite dimensional compensator dynamics. We demonstrate our approach on a control problem formulated in a driven cavity. Numerical results are reported for the open loop control

Keywords

compensation; control system synthesis; distributed parameter systems; feedback; multidimensional systems; nonlinear control systems; optimisation; reduced order systems; compensation; constrained optimisation; distributed parameter systems; feedback; infinite dimensional systems; nonlinear control systems; open loop control; reduced basis elements; reduced order control; Control systems; Distributed control; Finite difference methods; Finite element methods; Lagrangian functions; Navier-Stokes equations; Nonlinear control systems; Open loop systems; Optimal control; Reduced order systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.657101

Filename

657101