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Adaptive Stability Control for a Class of Nonlinear Systems in the p-Norm Form

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Abstract

A class of nonlinear systems with unknown input power is discussed about their tracking control problem in this paper. To guarantee that the output of this system can converge asymptotically to the reference signal, a robust adaptive control method is proposed. Based on Lyapunov stability theory, it is proven that the tracking error asymptotically converges to an adjustable neighborhood of the origin. The method improves some inadequacies of existing results and relaxes several assumptions imposed on the system. Finally, the viability and effectiveness of the control method presented in this paper are verified by performing numerical simulations.

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Acknowledgements

This work is partially supported by the national Natural Science Foundation of China (61873229, 61473250, 62273300).

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  1. College of Information Engineering, Yangzhou University, Yangzhou, 225127, China

    Zhiyao Sun & Qikun Shen

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  1. Zhiyao Sun
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  2. Qikun Shen
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Correspondence to Qikun Shen.

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Sun, Z., Shen, Q. Adaptive Stability Control for a Class of Nonlinear Systems in the p-Norm Form. Circuits Syst Signal Process 42, 1438–1456 (2023). https://doi.org/10.1007/s00034-022-02171-8

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