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Main Authors: Xu, Jiapeng, Chen, Xiang, Tan, Ying, Zhou, Kemin
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2312.09521
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author Xu, Jiapeng
Chen, Xiang
Tan, Ying
Zhou, Kemin
author_facet Xu, Jiapeng
Chen, Xiang
Tan, Ying
Zhou, Kemin
contents This paper proposes a novel multi-objective control framework for linear time-invariant systems in which performance and robustness can be achieved in a complementary way instead of a trade-off. In particular, a state-space solution is first established for a new stabilizing control structure consisting of two independently designed controllers coordinated with a Youla-type operator ${\bm Q}$. It is then shown by performance analysis that these two independently designed controllers operate in a naturally complementary way for a tracking control system, due to the coordination function of ${\bm Q}$ driven by the residual signal of a Luenberger observer. Moreover, it is pointed out that ${\bm Q}$ could be further optimized with an additional gain factor to achieve improved performance, through a data-driven methodology for a measured cost function.
format Preprint
id arxiv_https___arxiv_org_abs_2312_09521
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Multi-Objective Complementary Control
Xu, Jiapeng
Chen, Xiang
Tan, Ying
Zhou, Kemin
Systems and Control
This paper proposes a novel multi-objective control framework for linear time-invariant systems in which performance and robustness can be achieved in a complementary way instead of a trade-off. In particular, a state-space solution is first established for a new stabilizing control structure consisting of two independently designed controllers coordinated with a Youla-type operator ${\bm Q}$. It is then shown by performance analysis that these two independently designed controllers operate in a naturally complementary way for a tracking control system, due to the coordination function of ${\bm Q}$ driven by the residual signal of a Luenberger observer. Moreover, it is pointed out that ${\bm Q}$ could be further optimized with an additional gain factor to achieve improved performance, through a data-driven methodology for a measured cost function.
title Multi-Objective Complementary Control
topic Systems and Control
url https://arxiv.org/abs/2312.09521