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Towards Online Model Predictive Control on a Programmable Logic Controller: Practical Considerations

Towards online model predictive control on a programmable logic controller: practical considerations
Authors: Huyck, Bart; Ferreau, Hans Joachim; Diehl, Moritz; De Brabanter, Joseph; Van Impe, Jan; De Moor, Bart; Logist, Filip;

Towards Online Model Predictive Control on a Programmable Logic Controller: Practical Considerations

Abstract

Given the growing computational power of embedded controllers, the use of model predictive control (MPC) strategies on this type of devices becomes more and more attractive. This paper investigates the use of online MPC, in which at each step, an optimization problem is solved, on both a programmable automation controller (PAC) and a programmable logic controller (PLC). Three different optimization routines to solve the quadratic program were investigated with respect to their applicability on these devices. To this end, an air heating setup was built and selected as a small‐scale multi‐input single‐output system. It turns out that the code generator (CVXGEN) is not suited for the PLC as the required programming language is not available and the programming concept with preallocated memory consumes too much memory. The Hildreth and qpOASES algorithms successfully controlled the setup running on the PLC hardware. Both algorithms perform similarly, although it takes more time to calculate a solution for qpOASES. However, if the problem size increases, it is expected that the high number of required iterations when the constraints are hit will cause the Hildreth algorithm to exceed the necessary time to present a solution. For this small heating problem under test, the Hildreth algorithm is selected as most useful on a PLC.

Keywords

Mathematics, Interdisciplinary Applications, Technology, Science & Technology, SISTA, Engineering, Multidisciplinary, Numerical & Computational Mathematics, 09 Engineering, Engineering, Discrete-time control/observation systems, Physical Sciences, Mathematics, 01 Mathematical Sciences, Computational methods in systems theory, 40 Engineering

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
46
Top 10%
Top 10%
Top 10%
Green
gold