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Event-triggered-based adaptive decentralized asymptotic tracking control scheme for a class of nonlinear pure-feedback interconnected systems

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Abstract

This paper focuses on the adaptive decentralized asymptotic tracking control problem for a family of nonlinear pure-feedback interconnected systems. Through the ingenious backstepping-based design, the controllers of all subsystems are developed to mitigate the effects of system interconnections. These controllers only need to update two parameters online in each subsystem; thus, the complexity of analytic calculations is successfully reduced. In addition, in order to acquire the desired tracking performance, some significant mathematical methods are used to eliminate the influence of the residual errors caused by the estimation algorithm. By Lyapunov analysis method, the semi-globally uniformly boundedness of all the signals in the resulting closed-loop system is proven. The proposed scheme has its own advantages: (1) hold the asymptotic output tracking performance; (2) release the requirements for known nonlinear terms in the design procedure; (3) reduce the transmitting frequency of computer and make the use of computer resources more efficient. Finally, rich simulation results are given to show the effectiveness of the proposed control scheme.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China, under Grant 61873151 and Grant 62073201; and in part by the Shandong Provincial Natural Science Foundation of China, under Grant ZR2019MF009; and the Taishan Scholar Project of Shandong Province of China, under Grant NO. tsqn20190-9078; and the Major Scientific and Technological Innovation Project of Shandong Province, China, under Grant NO. 2019JAZZ020812; and in part by the Major Program of Shandong Province Natural Science Foundation, China, under Grant ZR2018ZB0419. In addition, the authors would also like to thank the anonymous reviewers for their constructive comments.

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Authors and Affiliations

  1. School of Information Science and Engineering, Shandong Normal University, Jinan, 250014, Shandong, China

    Xiaoan Wang, Kun Jiang & Ben Niu

  2. School of Chemical Engineering and Materials Science, Shandong Normal University, Jinan, 250014, Shandong, China

    Guangju Zhang

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  1. Xiaoan Wang
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Correspondence to Guangju Zhang or Ben Niu.

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Wang, X., Jiang, K., Zhang, G. et al. Event-triggered-based adaptive decentralized asymptotic tracking control scheme for a class of nonlinear pure-feedback interconnected systems. Nonlinear Dyn 104, 3881–3895 (2021). https://doi.org/10.1007/s11071-021-06560-7

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