Sampled-Data Model Predictive Control

José C. Geromel

doi:10.1109/TAC.2021.3077353

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Sampled-Data Model Predictive Control

2022-05-01

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José C. Geromel *

DOI：10.1109/TAC.2021.3077353

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Abstract

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This article focuses on model predictive control (MPC) design in the context of sampled-data control systems with full-state measurements. It is shown that recent results on this area can be successfully generalized to cope with sampled-data MPC. The open-loop plant is subjected to polytopic parameter uncertainty and at sampling times, a controlled output variable satisfies a set of convex constraints. A guaranteed H-2 performance index with infinity horizon is minimized such that the feedback control preserves asymptotic stability and feasibility. The design conditions are expressed through differential linear matrix inequalities. Continuous-time systems are treated with no kind of discrete-time modeling approximation. Comparisons with classical methods from the literature dealing with continuous-time systems are presented and discussed. Examples are included for illustration.

Keywords:

Differential linear matrix inequality (DLMI)

model predictive control (MPC)

sampled-data control

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