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Main Authors: Fan, Debao, Zhang, Xianfu, Feng, Gang, Li, Hanfeng
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2406.19718
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author Fan, Debao
Zhang, Xianfu
Feng, Gang
Li, Hanfeng
author_facet Fan, Debao
Zhang, Xianfu
Feng, Gang
Li, Hanfeng
contents In this article, we investigate the global regulation problem for a class of feedforward nonlinear systems. Notably, the systems under consideration allow unknown input-output-dependent nonlinear growth rates, which has not been considered in existing works. A novel logic-based switching (LBS) gain approach is proposed to counteract system uncertainties and nonlinearities. Furthermore, a tanh-type speed-regulation function is embedded into the switching mechanism for the first time to improve the convergence speed and transient performance. Then, a switching adaptive output feedback (SAOF) controller is proposed based on the developed switching mechanism, which is of a concise form and low-complexity characteristic. It is shown that the objective of global regulation is achieved with faster convergence speed and better transient performance under the proposed controller. Moreover, by strengthening the switching mechanism, the improved control approach can deal with feedforward nonlinear systems with external disturbances. Finally, representative examples are presented to demonstrate the effectiveness and advantages of our approach in comparison with the existing approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2406_19718
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global Regulation of Feedforward Nonlinear Systems: A Logic-Based Switching Gain Approach
Fan, Debao
Zhang, Xianfu
Feng, Gang
Li, Hanfeng
Systems and Control
In this article, we investigate the global regulation problem for a class of feedforward nonlinear systems. Notably, the systems under consideration allow unknown input-output-dependent nonlinear growth rates, which has not been considered in existing works. A novel logic-based switching (LBS) gain approach is proposed to counteract system uncertainties and nonlinearities. Furthermore, a tanh-type speed-regulation function is embedded into the switching mechanism for the first time to improve the convergence speed and transient performance. Then, a switching adaptive output feedback (SAOF) controller is proposed based on the developed switching mechanism, which is of a concise form and low-complexity characteristic. It is shown that the objective of global regulation is achieved with faster convergence speed and better transient performance under the proposed controller. Moreover, by strengthening the switching mechanism, the improved control approach can deal with feedforward nonlinear systems with external disturbances. Finally, representative examples are presented to demonstrate the effectiveness and advantages of our approach in comparison with the existing approaches.
title Global Regulation of Feedforward Nonlinear Systems: A Logic-Based Switching Gain Approach
topic Systems and Control
url https://arxiv.org/abs/2406.19718