Stability Constraints for Robust Model Predictive Control

This paper proposes an approach for the robust stabilization of systems controlled by MPC strategies. Uncertain SISO linear systems with box-bounded parametric uncertainties are considered. The proposed approach delivers some constraints on the control inputs which impose sufficient conditions for t...

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Bibliographic Details
Published in:Mathematical problems in engineering 2015-01, Vol.2015 (2015), p.1-11
Main Authors: Ottoni, Amanda G. S., Raffo, Guilherme V., Takahashi, R. H. C.
Format: Article
Language:English
Subjects:
Algorithms
Constraints
Control stability
Control systems
Controllers
Convergence
Design engineering
Design techniques
Linear systems
Mathematical models
Mathematical problems
Neural networks
Optimization
Predictive control
Robust control
Robust stabilization
SISO (control systems)
Stability
Strategy
Uncertainty
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Summary:This paper proposes an approach for the robust stabilization of systems controlled by MPC strategies. Uncertain SISO linear systems with box-bounded parametric uncertainties are considered. The proposed approach delivers some constraints on the control inputs which impose sufficient conditions for the convergence of the system output. These stability constraints can be included in the set of constraints dealt with by existing MPC design strategies, in this way leading to the “robustification” of the MPC.
ISSN:1024-123X
1563-5147
DOI:10.1155/2015/870189