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Robust Adaptive Control of Robotic Manipulator with Input Time-varying Delay

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  • Control Theory and Applications
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Abstract

This paper presents H adaptive tracking control of uncertain robotic manipulator with unknown external disturbances and input time-varying delays. The new adaptive scheme is proposed for trajectory tracking, while H performance is used to attenuate the effect of external disturbances. Firstly, a delay-dependent sufficient condition with input delay and the proposed adaptive controller are developed for the uncertain robotic manipulator, such that the resulting closed-loop system is robustly asymptotically stable. Secondly, a sufficient condition for the H disturbance attenuation performance of the closed-loop system is derived, consequently, the system is robustly asymptotically stable. In the end, two examples are presented to verify the effectiveness of the proposed method.

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Authors and Affiliations

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Correspondence to Haoping Wang.

Additional information

Recommended by Associate Editor Yingmin Jia under the direction of Editor Fumitoshi Matsuno. This work is partially supported by the National Natural Science Foundation of China (61773212), by International Science & Technology Cooperation Program of China (2015DFA01710), by the Natural Science Foundation of Jiangsu Province (BK20170094), and by the 11th Jiangsu Province Six talent peaks of high level talents (2014_ZBZZ_005).

Saim Ahmed received his M.E degree in Industrial Control and Automation from Hamdard University, Pakistan, in 2013. He is currently pursuing a Ph.D. degree in control science and engineering from Nanjing University of Science and Technology, China in 2019. His research interests include the theory and applications of adaptive control, sliding mode control, time delay control, robotic exoskeleton and manipulators, nonlinearities and its compensation.

Haoping Wang received the Ph.D. degree in Automatic Control from Lille University of Science and Technology (LUST), France, in 2008. He is currently a Professor at Automation School, Deputy Director of Sino French Engineering School, Nanjing University of Science and Technology, China. He was research fellows at MIS Laboratory of Picardie University and at LAGIS of LUST, France. His research interests include the theory and applications of hybrid systems, visual servo control, observation design.

Muhammad Shamrrooz Aslam received the B.Sc. and M.S. degrees in electronics and electrical engineering from COM-SATS University, Abbottabad and Attock campus, Pakistan, in 2009 and 2013, respectively. He is currently pursuing a Ph.D. degree in control science and engineering with the School of Automation, Nanjing University of Science and Technology, China. His research interests include fuzzy systems, time-delay systems and network control systems.

Imran Ghous received his B.Sc. and M.Sc. degrees in Electrical Engineering from University of Engineering and Technology, Taxila, Pakistan, in 2011 and 2013 respectively. He completed his Ph.D. degree in Control Science and Engineering from Nanjing University of Science and Technology, P. R. China in 2016. He is currently serving as an Assistant Professor at the Department of Electrical and Computer Engineering, COMSATS University, Pakistan. His research interests mainly include 2-D systems, switched systems, and positive systems etc.

Irfan Qaisar received the BE (Electronics) degree from Dawood University of Engineering and Technology, Pakistan, in 2013. He is studying for his Master degree from Nanjing University of Science and Technology, P. R. China. His research interests include Multi-agent Systems, and Networked Control systems.

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Ahmed, S., Wang, H., Aslam, M.S. et al. Robust Adaptive Control of Robotic Manipulator with Input Time-varying Delay. Int. J. Control Autom. Syst. 17, 2193–2202 (2019). https://doi.org/10.1007/s12555-018-0767-5

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  • DOI: https://doi.org/10.1007/s12555-018-0767-5

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