Robust controller design for infinite-dimensional exosystems
Article first published online: 13 NOV 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
Volume 24, Issue 5, pages 825–858, 25 March 2014
How to Cite
Paunonen, L. and Pohjolainen, S. (2014), Robust controller design for infinite-dimensional exosystems. Int. J. Robust Nonlinear Control, 24: 825–858. doi: 10.1002/rnc.2920
- Issue published online: 22 JAN 2014
- Article first published online: 13 NOV 2012
- Manuscript Accepted: 2 OCT 2012
- Manuscript Revised: 8 AUG 2012
- Manuscript Received: 8 DEC 2011
- robust output regulation;
- distributed parameter systems;
- infinite-dimensional exosystem
In this paper, we consider robust output regulation of distributed parameter systems with infinite-dimensional exosystems capable of generating polynomially growing signals. We design an observer-based error feedback controller solving the control problem. The controller is chosen in such a way that it incorporates an internal model of the infinite-dimensional exosystem. The remaining parameters of the controller are chosen to stabilize the closed-loop system strongly. We also analyze the classes of signals generated by the exosystem. In particular, we explore the connection between the smoothness properties of the reference and disturbance signals and the strictness of the conditions required for the existence of a controller solving the robust output regulation problem. Copyright © 2012 John Wiley & Sons, Ltd.