TY - GEN
T1 - Robust two degree-of-freedom control for MIMO system with both model and signal uncertainties
AU - Xie, Yangmin
AU - Alleyne, Andrew
N1 - Publisher Copyright:
© IFAC.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2014
Y1 - 2014
N2 - In the study, a model inversion based two degree-of-freedom (DOF) controller is proposed to achieve optimal robust performance for multi-input-multi-output (MIMO) system with existence of both model and signal uncertainties. The original plant dynamics are modified by a pre-compensator and a post-compensator to obtain a diagonally dominant matrix, where the selected dynamics of the plant are contained within the diagonal entries. The inversion of the diagonal matrix, as a result, reflects the inversion of the plant dynamics within a specified frequency range. The feedback controller is designed using a standard H2 mixed sensitivity approach. The feedforward controller consists of plant inversion and a feedforward filter, which is optimized to balance the trade-off between nominal performance and robust performance under model uncertainty and signal uncertainty. A numerical example is used to demonstrate the improvement of the robust performance when using the optimal feedforward control.
AB - In the study, a model inversion based two degree-of-freedom (DOF) controller is proposed to achieve optimal robust performance for multi-input-multi-output (MIMO) system with existence of both model and signal uncertainties. The original plant dynamics are modified by a pre-compensator and a post-compensator to obtain a diagonally dominant matrix, where the selected dynamics of the plant are contained within the diagonal entries. The inversion of the diagonal matrix, as a result, reflects the inversion of the plant dynamics within a specified frequency range. The feedback controller is designed using a standard H2 mixed sensitivity approach. The feedforward controller consists of plant inversion and a feedforward filter, which is optimized to balance the trade-off between nominal performance and robust performance under model uncertainty and signal uncertainty. A numerical example is used to demonstrate the improvement of the robust performance when using the optimal feedforward control.
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U2 - 10.3182/20140824-6-za-1003.01348
DO - 10.3182/20140824-6-za-1003.01348
M3 - Conference contribution
AN - SCOPUS:84929832470
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 9313
EP - 9320
BT - 19th IFAC World Congress IFAC 2014, Proceedings
A2 - Boje, Edward
A2 - Xia, Xiaohua
PB - IFAC Secretariat
T2 - 19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Y2 - 24 August 2014 through 29 August 2014
ER -