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Adaptive Neural Network Control for a Class of Nonlinear Systems

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 405))

Abstract

An adaptive neural network control scheme is developed for perturbed nonlinear systems with unknown functions. To avoid the curse of dimensionality, dynamic surface-control (DSC) technique is introduced in the progress of controller design. Moreover, the problem of singularity is solved in estimation of the unknown functions by designing a novel strategy of estimation. It is shown that the DSC-based controller can ensure semi-global uniform ultimate bounded of the closed-loop system, and the tracking error can be arbitrarily small with appropriate design parameters. A simulation example is used to demonstrate the validness of the proposed algorithm.

This work was supported by the National Basic Research Program of China (973 Program: 2012CB821200, 2012CB821201), the NSFC (61134005, 61327807, 61521091, 61520106010, 61304232), and the Fundamental Research Funds for the Central Universities (YWF-16-GJSYS-31, YWF-16-GJSYS-32).

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Correspondence to Chao Yang .

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© 2016 Springer Science+Business Media Singapore

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Yang, C., Jia, Y., Chen, C. (2016). Adaptive Neural Network Control for a Class of Nonlinear Systems. In: Jia, Y., Du, J., Zhang, W., Li, H. (eds) Proceedings of 2016 Chinese Intelligent Systems Conference. CISC 2016. Lecture Notes in Electrical Engineering, vol 405. Springer, Singapore. https://doi.org/10.1007/978-981-10-2335-4_14

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  • DOI: https://doi.org/10.1007/978-981-10-2335-4_14

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-2334-7

  • Online ISBN: 978-981-10-2335-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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