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Event-triggered Adaptive Neural Control for Uncertain Nontriangular Nonlinear Systems with Time-varying Delays

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  • Intelligent Control and Applications
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Abstract

This paper addresses the adaptive tracking problem for a class of uncertain nontriangular nonlinear systems with time-varying delays. By employing some special techniques and mean value theorem, the nonlinear time-delay system in a nonaffine and nontriangular form is transformed into a new nonstrict-feedback nonlinear time-delay system for which backstepping control design becomes feasible. In particular, a novel event-triggered mechanism including saturation is presented to pursue the low communication burden and keep the competitive control performance. By combining Lyapunov-Razumikhin method, backstepping technique, and neural network (NN) approximation-based approach, the event-based adaptive neural control strategy is developed for this class of systems. The event-triggered control scheme guarantees that the tracking error remains in a small neighborhood of the origin while all the signals in closed-loop systems are semi-global uniformly ultimately bounded (SGUUB). Finally, an illustrative example is given to clarify the feasibility and effectiveness of the developed design methodology.

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Author information

Authors and Affiliations

  1. Key Laboratory of Smart Manufacturing in Energy Chemical Process of Ministry of Education, East China University of Science and Technology, Shanghai, China

    Zhouzhou Xue & Zhaoxu Yu

  2. Department of Information Management, Shanghai University, Shanghai, China

    Shugang Li

Authors
  1. Zhouzhou Xue
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  2. Zhaoxu Yu
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  3. Shugang Li
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Corresponding author

Correspondence to Zhaoxu Yu.

Additional information

Zhouzhou Xue received his B.S. degree in automation from Jiangsu University of Science and Technology, Zhenjiang, China, in 2019. He is currently pursuing an M.S. degree in control theory and control engineering with the East China University of Science and Technology, Shanghai, China. His current research interests include event-triggered mechanism, intelligent control, and time-delay system.

Zhaoxu Yu received his M.S. degree in applied mathematics from Tongji University, Shanghai, China, and a Ph.D. degree in control science and engineering from Shanghai Jiaotong University, Shanghai, China, in 2001 and 2004, respectively. He is currently an associate professor with the Department of Automation in East China University of Science and Technology. From July 2014 to July 2015, he was a Visiting Scholar in the Department of Electrical and Computer Engineering, University of Florida, USA. His research interest includes nonlinear control theory and applications, intelligent control, and timedelay system.

Shugang Li is a professor in the School of management at Shanghai University, Shanghai, China. He received his Ph.D. degree in control science and engineering from Shanghai Jiao Tong University in 2004. His current research areas of interest are information system and information management, data mining, soft computing, and artificial intelligence.

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The authors would like to appreciate the editors and reviewers for their valuable comments and kind help. This work is partially supported by the Chinese National Natural Science Foundation under Grant 71871135, and Fundamental Research Funds for the Central Universities under Grant 222201717006.

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Xue, Z., Yu, Z. & Li, S. Event-triggered Adaptive Neural Control for Uncertain Nontriangular Nonlinear Systems with Time-varying Delays. Int. J. Control Autom. Syst. 20, 4090–4099 (2022). https://doi.org/10.1007/s12555-021-0544-8

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  • DOI: https://doi.org/10.1007/s12555-021-0544-8

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