Inversion based tracking control for a distributed parameter system with spatially distributed control input

Author

Malchow, Florian ; Alt, Simon ; Sawodny, Oliver

Author_Institution

Inst. for Syst. Dynamics, Univ. of Stuttgart, Stuttgart, Germany

fYear

2013

fDate

17-19 June 2013

Firstpage

3296

Lastpage

3301

Abstract

The article presents an approach for designing an inversion based feedforward control for a distributed parameter system (DPS) described by a linear heat equation. The tracking task is to drive the output along a desired trajectory with the control input acting spatially distributed on the DPS via a fixed spatial characteristic. The inversion is derived from the zero dynamics of the DPS, which is required to be asymptotically stable. To account for unknown initial conditions, the control scheme also includes a proportional feedback. The feedforward and feedback part are combined in a two degree of freedom structure. Results for stability and numerical simulation are given.

Keywords

asymptotic stability; distributed parameter systems; feedback; feedforward; tracking; DPS; asymptotic stability; distributed parameter system; feedforward part; fixed spatial characteristic; inversion based feedforward control design; inversion based tracking control; linear heat equation; numerical simulation; proportional feedback; spatially distributed control input; tracking task; two degree of freedom structure; zero dynamics; Boundary conditions; Distributed parameter systems; Equations; Feedback control; Feedforward neural networks; Mathematical model; Trajectory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2013

Conference_Location

Washington, DC

ISSN

0743-1619

Print_ISBN

978-1-4799-0177-7

Type

conf

DOI

10.1109/ACC.2013.6580340

Filename

6580340