A sufficient asymptotic stability condition in generalised model predictive control to avoid input saturation
Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review
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Applied Physics, System Science and Computers II : Proceedings of the 2nd International Conference on Applied Physics, System Science and Computers, APSAC2017. ed. / A. Croitoru; K. Ntalianis. Vol. 489 Springer, 2019. p. 251-257 (Lecture Notes in Electrical Engineering; Vol. 489).
Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review
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TY - CHAP
T1 - A sufficient asymptotic stability condition in generalised model predictive control to avoid input saturation
AU - Mercorelli, Paolo
N1 - Conference code: 2
PY - 2019
Y1 - 2019
N2 - The goal of this contribution is presenting a Theorem which states the asymptotic stability of a feedback controlled system with a Linear Generalized Model Predictive Control (LGMPC). Concerning the asymptotic stability, a sufficient and constructive condition on the weight matrices of the cost function used in the optimization problem in LGMPC for one step prediction horizon is demonstrated. The condition consists of a lower bound for one of these matrices. The obtained condition is explained and discussed by means of some physical considerations. The second part of this contribution is devoted to the saturation case and proves a sufficient condition for obtaining asymptotic stability and saturation avoidance.
AB - The goal of this contribution is presenting a Theorem which states the asymptotic stability of a feedback controlled system with a Linear Generalized Model Predictive Control (LGMPC). Concerning the asymptotic stability, a sufficient and constructive condition on the weight matrices of the cost function used in the optimization problem in LGMPC for one step prediction horizon is demonstrated. The condition consists of a lower bound for one of these matrices. The obtained condition is explained and discussed by means of some physical considerations. The second part of this contribution is devoted to the saturation case and proves a sufficient condition for obtaining asymptotic stability and saturation avoidance.
KW - Engineering
KW - Model predictive control
KW - Optimization
KW - Matrix algebra
KW - Discrete systems
KW - Linear systems
UR - http://www.scopus.com/inward/record.url?scp=85049357275&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-75605-9_35
DO - 10.1007/978-3-319-75605-9_35
M3 - Article in conference proceedings
AN - SCOPUS:85049357275
SN - 978-331975604-2
VL - 489
T3 - Lecture Notes in Electrical Engineering
SP - 251
EP - 257
BT - Applied Physics, System Science and Computers II
A2 - Croitoru, A.
A2 - Ntalianis, K.
PB - Springer
T2 - 2rd International Conference on: Applied Physics, System Science and Computers - APSAC2017
Y2 - 27 September 2017 through 29 September 2017
ER -