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Design Innovation Paper

Extended Predictive Control: Stability and Performance

[+] Author and Article Information
Daniel Viúdez-Moreiras

IEEC Department,
Universidad Nacional de Educacion a Distancia,
Madrid 28040, Spain
e-mail: dviudezmoreiras@gmail.com

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received October 17, 2013; final manuscript received June 18, 2015; published online August 3, 2015. Assoc. Editor: Bryan Rasmussen.

J. Dyn. Sys., Meas., Control 137(11), 115001 (Aug 03, 2015) (8 pages) Paper No: DS-13-1399; doi: 10.1115/1.4030950 History: Received October 17, 2013

The stability and performance of the extended predictive control depend on the driver block design and, specifically, on the three factors that determine this design, that is to say, the choice of the performance criterion, the reference trajectory dynamics, and the prediction horizon. This paper presents, for a particular choice of the performance criterion, a new method to determine the closed-loop stability and performance for the class of linear stable system, taking into account the reference trajectory dynamics and the prediction horizon value. Illustrative simulation examples show how, for a certain reference trajectory dynamics, which choice is based on specifications, the selection of the prediction horizon may determine the stability and the performance nature of the closed-loop.

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Figures

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Fig. 1

Basic predictive control block diagram

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Fig. 2

Stability and performance for different λ (example 1, Sec. 4.1)

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Fig. 3

Process response for example 1 (Sec. 4.1) with different λ

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Fig. 4

Stability and performance for different λ (example 2, Sec. 4.2)

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Fig. 5

Root-locus for example 2 (Sec. 4.2) with different values of λ

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Fig. 6

Process response for example 2 (Sec. 4.2) with different λ

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Fig. 7

Stability and performance for different λ (example 3, Sec. 4.3)

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Fig. 8

Process response for example 3 (Sec. 4.3) with different λ

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