Minkowski terminal cost functions for MPC

S.V. Rakovic; M. Lazar

doi:10.1016/j.automatica.2012.06.075

Minkowski terminal cost functions for MPC

S.V. Rakovic, M. Lazar

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

This technical communique delivers a systematic procedure for obtaining a suitable terminal cost function for model predictive control based on Minkowski cost functions. It is shown that, for any given stabilizing linear state feedback control law and associated ¿-contractive proper C-set, there always exists a non-trivial scaling of the ¿-contractive proper C-set such that the associated Minkowski function satisfies the standard MPC terminal cost stability inequality.

Original language	English
Pages (from-to)	2721-2725
Journal	Automatica
Volume	48
Issue number	10
DOIs	https://doi.org/10.1016/j.automatica.2012.06.075
Publication status	Published - 2012

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10.1016/j.automatica.2012.06.075

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AU - Lazar, M.

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AB - This technical communique delivers a systematic procedure for obtaining a suitable terminal cost function for model predictive control based on Minkowski cost functions. It is shown that, for any given stabilizing linear state feedback control law and associated ¿-contractive proper C-set, there always exists a non-trivial scaling of the ¿-contractive proper C-set such that the associated Minkowski function satisfies the standard MPC terminal cost stability inequality.

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DO - 10.1016/j.automatica.2012.06.075

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SN - 0005-1098

VL - 48

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JO - Automatica

JF - Automatica

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Minkowski terminal cost functions for MPC

Abstract

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