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 -