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Stabilizing polynomial approximation of explicit MPC
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DOI：10.1016/j.automatica.2011.08.023.png)
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Abstract
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A given explicit piecewise affine representation of an MPC feedback law is approximated by a single polynomial, computed using linear programming. This polynomial state feedback control law guarantees closed-loop stability and constraint satisfaction. The polynomial feedback can be implemented in real time even on very simple devices with severe limitations on memory storage. (C) 2011 Elsevier Ltd. All rights reserved.
Keywords:
Asymptotic stability
Predictive control
Function approximation
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