Abstract
This paper focuses on a class of second-order nonlinear systems with unknown input power, considers their tracking control problem, and proposes an adaptive robust control method to guarantee that the output of this system converges asymptotically to the provided reference signal. On the basis of Lyapunov stability theory, it is proven that the tracking error converges to a narrow adjustable neighbourhood of the origin. The method corrects some errors of existing results, and reduces some of the assumptions, and thus possesses a higher generality and research value. Finally, the viability and effectiveness of the control scheme proposed in this paper is verified by performing numerical simulations.
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Sun, Z., Shi, P., Shen, Q. (2022). Adaptive Stability Control for a Class of Non-linear Systems in the b-Norm Form. In: Shi, P., Stefanovski, J., Kacprzyk, J. (eds) Complex Systems: Spanning Control and Computational Cybernetics: Foundations. Studies in Systems, Decision and Control, vol 414. Springer, Cham. https://doi.org/10.1007/978-3-030-99776-2_9
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DOI: https://doi.org/10.1007/978-3-030-99776-2_9
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