Interpolation in MPC for discrete time bilinear systems

Author

Bloemen, H.H.J. ; Cannon, M. ; Kouvaritakis, B.

Author_Institution

Dept. of Inf. Technol. & Syst., Delft Univ. of Technol., Netherlands

Volume

4

fYear

2001

fDate

2001

Firstpage

3061

Abstract

Feedback linearization suffers from a number of restrictions which have limited its use in model-based predictive control. Some of these restrictions do not apply to the case of bilinear systems, but problems with input constraints and unstable zero dynamics persist. This paper overcomes these difficulties by means of an interpolation strategy. Involved in this interpolation is a stabilizing trajectory which is computed through the use of invariant feasible sets (defined for the bilinear model) and a more aggressive trajectory which can be chosen to be either the unconstrained optimal trajectory or an alternative which guarantees that the state vector remains bounded and that the output converges to the origin

Keywords

bilinear systems; discrete time systems; feedback; interpolation; predictive control; stability; MPC; discrete time bilinear systems; input constraints; interpolation; invariant feasible sets; stabilizing trajectory; unstable zero dynamics; Convergence; Costs; Information technology; Interpolation; Nonlinear systems; Output feedback; Predictive control; Predictive models; Trajectory; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946386

Filename

946386