This paper presents an adaptive robust controller for a class of uncertain chaotic Rossler system with time-varying mismatched parameters. The proposed controller is designed based on Lyapunov stability theory, and it is shown that using this controller all signals of the closed-loop system are uniformly ultimately bounded (UUB). In addition, the proposed scheme is such that it does not require a priori information about the bound of uncertainties. Furthermore, since all the signals are UUB, the control signal is smooth and feasible to implement. Simulation results on a third-order Rossler system with time-varying parameters confirm the effectiveness of the proposed controller.
Adaptive Robust Stabilization of Rossler System With Time-Varying Mismatched Parameters Via Scalar Input
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 3, 2015; final manuscript received April 6, 2016; published online May 13, 2016. Assoc. Editor: Mohammad Younis.
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Arefi, M. M. (May 13, 2016). "Adaptive Robust Stabilization of Rossler System With Time-Varying Mismatched Parameters Via Scalar Input." ASME. J. Comput. Nonlinear Dynam. July 2016; 11(4): 041024. https://doi.org/10.1115/1.4033383
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