International Journal of Robust and Nonlinear Control

Volume 32, Issue 17 pp. 9363-9379

SHORT COMMUNICATION

Asymptotic output tracking control with prescribed transient performance of nonlinear systems in the presence of unknown dynamics

Yong-Hua Liu,

Corresponding Author

Yong-Hua Liu

[email protected]

orcid.org/0000-0001-7137-7591

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

Correspondence Yong-Hua Liu, School of Automation, Guangdong University of Technology, Guangzhou 510006, China.

Email: [email protected]

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Lang-Lei Chen,

Lang-Lei Chen

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

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Qi Zhou,

Qi Zhou

orcid.org/0000-0001-7237-4659

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

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Chun-Yi Su,

Chun-Yi Su

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

Mechanical, Industrial and Aerospace Engineering, Concordia University, Montreal, Quebec, Canada

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Yong-Hua Liu,

Corresponding Author

Yong-Hua Liu

[email protected]

orcid.org/0000-0001-7137-7591

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

Correspondence Yong-Hua Liu, School of Automation, Guangdong University of Technology, Guangzhou 510006, China.

Email: [email protected]

Search for more papers by this author

Lang-Lei Chen,

Lang-Lei Chen

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

Search for more papers by this author

Qi Zhou,

Qi Zhou

orcid.org/0000-0001-7237-4659

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

Search for more papers by this author

Chun-Yi Su,

Chun-Yi Su

School of Automation, Guangdong University of Technology, Guangzhou, China

Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou, China

Mechanical, Industrial and Aerospace Engineering, Concordia University, Montreal, Quebec, Canada

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First published: 12 August 2022

https://doi.org/10.1002/rnc.6336

Citations: 3

Funding information: National Natural Science Foundation of China, Grant/Award Numbers: 61803097; 61733006; 62103097; 62121004; U2013601; Guangdong Province Science Foundation, Grant/Award Number: 2022A1515011239; Local Innovative and Research Teams Project of Guangdong Special Support Program, Grant/Award Number: 2019BT02X353; Key Area Research and Development Program of Guangdong Province, Grant/Award Number: 2021B0101410005

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Abstract

In this article, we address the problem of asymptotic output tracking control with prescribed transient performance for a class of nonlinear systems in the presence of unknown dynamics. By fusing the funnel control approach and the tool of barrier Lyapunov function, a smooth adaptive tracking control strategy is developed in a recursive manner. In the proposed design, a new barrier Lyapunov function is adopted to eliminate the effects of unknown nonlinear dynamics, ensuring the prescribed transient behavior of the output tracking. The distinctive characteristic of the proposed method is that the designed control algorithm can guarantee not only prescribed output tracking performance but also global asymptotic stability without incorporating any prior knowledge of nonlinear dynamics or even corresponding bounding functions. Three illustrative examples are provided to testify the effectiveness of the proposed method.

CONFLICT OF INTEREST

The authors declare no potential conflict of interests.

Open Research

DATA AVAILABILITY STATEMENT

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Volume32, Issue17

25 November 2022

Pages 9363-9379

Asymptotic output tracking control with prescribed transient performance of nonlinear systems in the presence of unknown dynamics

Abstract

CONFLICT OF INTEREST

Open Research

DATA AVAILABILITY STATEMENT

REFERENCES

Citing Literature

References

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Asymptotic output tracking control with prescribed transient performance of nonlinear systems in the presence of unknown dynamics

Abstract

CONFLICT OF INTEREST

Open Research

DATA AVAILABILITY STATEMENT

REFERENCES

Citing Literature

References

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