Volume 31, Issue 18 pp. 9652-9675
RESEARCH ARTICLE

Hierarchical predefined-time control of teleoperation systems with state and communication constraints

Jing-Zhe Xu

Jing-Zhe Xu

School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, China

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Ming-Feng Ge

Corresponding Author

Ming-Feng Ge

School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan, China

School of Automation, Central South University, Changsha, China

Correspondence Ming-Feng Ge, School of Mechanical Engineering and Electronic Information China University of Geosciences, Wuhan 430074, China.

Email: [email protected]

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Guang Ling

Guang Ling

School of Science, Wuhan University of Technology, Wuhan, China

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Feng Liu

Feng Liu

Department of Anesthesia, Critical Care and Pain Medicine, Massachusetts General Hospital, Harvard Medical School, Boston, Massachusetts, USA

Picower Institute for Learning and Memory, MIT, Cambridge, Massachusetts, USA

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Ju H. Park

Ju H. Park

Department of Electrical Engineering, Yeungnam University, Gyeongsan, South Korea

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First published: 28 September 2021
Citations: 3

Abstract

The performance of the teleoperation system under multiple negative impacts cannot be easily predefined and regulated in general. This article aims to achieve the predefined performance of the teleoperation system under the effects of human operations, external disturbances, parametric uncertainties and communication constraints (including communication delays and quantized-data communication). The predefined performance includes the state constraints (i.e., the joint-space positions of the teleoperation system can be constrained in the predefined region throughout the control process) and predefined-time set stability (i.e., the synchronization errors can be forced to reach an arbitrarily small neighborhood of the origin in a predefined time). To this end, a hierarchical predefined-time control algorithm is newly designed via employing the error transformation method based on a novel limit-time regulator. By using the barrier Lyapunov function, sufficient conditions on the control parameters are formally derived for guaranteeing the aforementioned performance. Finally, we present several simulation experiments to illustrate the effectiveness and advantages of the proposed main results.

CONFLICT OF INTEREST

We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled.

DATA AVAILABILITY STATEMENT

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

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