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Adaptive Zero-Error Finite-Time Tracking Control of Switched Nonlinear Systems With Prescribed Performance

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Abstract

This paper considers the adaptive finite-time tracking control problem for a class of switched nonlinear systems. Based on neural networks, the influence of unknown nonlinear functions is offset. A performance function is proposed to guarantee the transient performance of the tracking error. Moreover, a novel-type Lyapunov function is constructed that relaxes the constraints on virtual control functions. It is shown by Lyapunov stability analysis that the finite-time convergence and zero-error tracking performance can be ensured simultaneously. Finally, the effectiveness of the proposed method is verified by a simulation example.

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Acknowledgements

The research was supported in part by the Funds of National Science of China (Grant Nos. 61973146, 61873338, 61833001), in part by the Distinguished Young Scientific Research Talents Plan in Liaoning Province (Nos. XLYC1907077, JQL201915402), in part by the Taishan Scholar Project of Shandong Province of China (Grant Nos. tsqn201909097, tsqn201812052)

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Liang, Y., Li, YX. & Niu, B. Adaptive Zero-Error Finite-Time Tracking Control of Switched Nonlinear Systems With Prescribed Performance. Circuits Syst Signal Process 41, 1349–1366 (2022). https://doi.org/10.1007/s00034-021-01843-1

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