An interpolation strategy for discrete-time bilinear MPC problems

Author

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

Author_Institution

Dept. of ITS, Delft Univ. of Technol., Netherlands

Volume

47

Issue

5

fYear

2002

fDate

5/1/2002 12:00:00 AM

Firstpage

775

Lastpage

778

Abstract

Input-output (I-O) 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 feasible and stabilizing trajectory, which is computed through the use of invariant feasible sets, and a more aggressive trajectory, which can be chosen to be either the unconstrained optimal trajectory or any alternative one

Keywords

Lyapunov methods; bilinear systems; discrete time systems; feedback; interpolation; predictive control; stability; aggressive trajectory; control Lyapunov function; discrete-time bilinear MPC problems; input-output feedback linearization; interpolation strategy; model-based predictive control; stabilizing trajectory; unconstrained optimal trajectory; unstable zero dynamics; Context modeling; Interpolation; Linear matrix inequalities; Linear systems; Lyapunov method; Nonlinear systems; Predictive control; Predictive models; Stability; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2002.1000271

Filename

1000271