TY - GEN

T1 - On the unrestricted horizon predictive control — A fully stochastic model-based predictive approach

AU - Trentini, R.

AU - Silveira, A.

AU - Kutzner, R.

AU - Hofmann, L.

N1 - Publisher Copyright: © 2016 EUCA. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.

PY - 2016/6/1

Y1 - 2016/6/1

N2 - 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.

AB - 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.

KW - control system synthesis

KW - predictive control

KW - statistical analysis

KW - stochastic systems

KW - unrestricted horizon predictive control

KW - fully stochastic model-based predictive approach

KW - UHPC design

KW - minimal order generalized minimum variance controller

KW - Diophantine equation

KW - ARMAX model

KW - state space solution

KW - 1-step ahead Kalman filter

KW - Mathematical model

KW - Stochastic processes

KW - Predictive models

KW - Kalman filters

KW - Predictive control

KW - Aerospace electronics

UR - http://www.scopus.com/inward/record.url?scp=85015088336&partnerID=8YFLogxK

U2 - 10.1109/ecc.2016.7810472

DO - 10.1109/ecc.2016.7810472

M3 - Conference contribution

SP - 1322

EP - 1327

BT - 2016 European Control Conference, ECC 2016

ER -