Geometrical Analysis of Model Predictive Control: A Parameterized Polyhedra Approach

Authors:
S. Olaru;I. Dumitrache;D. Dumur
Affiliations:
Automatic Control Dpt., SUPELEC, France;University Polytehnica Bucharest, Romania;Automatic Control Dpt., SUPELEC, France
Venue:
Numerical Analysis and Its Applications
Year:
2009

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Abstract

The paper deals with the receding horizon optimal control schemes. The presence of input and state constraints is shown to lead at the implementation stage to the resolution of a parametric optimization problem. A geometrical analysis of the set of constraints can be done using the concept of parameterized polyhedra.