Linear Generalised Model Predictive Control to Avoid Input Saturation through Matrix Conditions
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In: WSEAS Transactions on Systems, Vol. 16, 35, 2017, p. 313-322 .
Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - Linear Generalised Model Predictive Control to Avoid Input Saturation through Matrix Conditions
AU - Mercorelli, Paolo
PY - 2017
Y1 - 2017
N2 - The goal of this contribution is presenting a Theorem which states the stability of a feedback controlled system with a Linear Generalized Model Predictive Control (LGMPC). Concerning the 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 stability and saturation avoidance. Two case studies are shown using computer simulations at the end of the paper.
AB - The goal of this contribution is presenting a Theorem which states the stability of a feedback controlled system with a Linear Generalized Model Predictive Control (LGMPC). Concerning the 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 stability and saturation avoidance. Two case studies are shown using computer simulations at the end of the paper.
KW - Engineering
KW - Model predictive control
KW - Optimization
KW - Matrix algebra
KW - Discrete systems
KW - Linear systems
KW - Applications
M3 - Journal articles
VL - 16
SP - 313
EP - 322
JO - WSEAS Transactions on Systems
JF - WSEAS Transactions on Systems
SN - 1109-2777
M1 - 35
ER -