An interpolation strategy for discrete-time bilinear MPC problems

Journal article

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. The present note 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.

Authors: Bloemen, H; Cannon, M; Kouvaritakis, B

• Publication status: Published
• Journal: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• Volume: 47
• Issue: 5
• Pages: 775-778
• Publication date: 2002-05-01
• DOI: 10.1109/TAC.2002.1000271
• ISSN: 0018-9286
• Language: English
• Keywords: control Lyapunov function; discrete-time bilinear systems; interpolation