An interpolation strategy for discrete-time bilinear MPC problems

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 ov...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2002-05, Vol.47 (5), p.775-778
Main Authors: Bloemen, H.H.J., Cannon, M., Kouvaritakis, B.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Constrictions
Context modeling
Control system synthesis
Control theory. Systems
Dynamical systems
Dynamics
Exact sciences and technology
Feedback linearization
Interpolation
Invariants
Linear matrix inequalities
Linear systems
Lyapunov method
Nonlinear systems
Predictive control
Predictive models
Stability
State feedback
Strategy
Trajectories
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Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2002.1000271