On the unrestricted horizon predictive control — A fully stochastic model-based predictive approach

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Original languageEnglish
Title of host publication2016 European Control Conference, ECC 2016
Pages1322-1327
Number of pages6
ISBN (electronic)9781509025916
Publication statusPublished - 1 Jun 2016

Abstract

This paper presents the design of the Unrestricted Horizon Predictive Controller, short UHPC, evaluated from the extended horizon of a minimal order Generalized Minimum Variance controller investigated in a free Diophantine equation form based on ARMAX models. In contrast to common MPC methods, UHPC does not employ the receding horizon approach for calculation of its future control steps, but a state space solution where a 1-step ahead Kalman Filter and the inherent calculation of two Diophantine equations - one for the control signal and other for the noise - are utilized. Simulation results show that UHPC performs well compared to the most common approaches (Minimum Variance and Generalized Predictive Control) for several different plant conditions, such as regulation (noise rejection) and reference tracking.

Keywords

    control system synthesis, predictive control, statistical analysis, stochastic systems, unrestricted horizon predictive control, fully stochastic model-based predictive approach, UHPC design, minimal order generalized minimum variance controller, Diophantine equation, ARMAX model, state space solution, 1-step ahead Kalman filter, Mathematical model, Stochastic processes, Predictive models, Kalman filters, Predictive control, Aerospace electronics

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On the unrestricted horizon predictive control — A fully stochastic model-based predictive approach. / Trentini, R.; Silveira, A.; Kutzner, R. et al.
2016 European Control Conference, ECC 2016. 2016. p. 1322-1327 7810472.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Trentini, R, Silveira, A, Kutzner, R & Hofmann, L 2016, On the unrestricted horizon predictive control — A fully stochastic model-based predictive approach. in 2016 European Control Conference, ECC 2016., 7810472, pp. 1322-1327. https://doi.org/10.1109/ecc.2016.7810472
Trentini, R., Silveira, A., Kutzner, R., & Hofmann, L. (2016). On the unrestricted horizon predictive control — A fully stochastic model-based predictive approach. In 2016 European Control Conference, ECC 2016 (pp. 1322-1327). Article 7810472 https://doi.org/10.1109/ecc.2016.7810472
Trentini R, Silveira A, Kutzner R, Hofmann L. On the unrestricted horizon predictive control — A fully stochastic model-based predictive approach. In 2016 European Control Conference, ECC 2016. 2016. p. 1322-1327. 7810472 doi: 10.1109/ecc.2016.7810472
Trentini, R. ; Silveira, A. ; Kutzner, R. et al. / On the unrestricted horizon predictive control — A fully stochastic model-based predictive approach. 2016 European Control Conference, ECC 2016. 2016. pp. 1322-1327
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AU - Hofmann, L.

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