In this paper, an adaptive feedback control method is proposed for the anti-control of chaos of single time scale brushless DC motor system with unknown parameters based on model-matching. The well-known Rössler chaotic system is considered as the reference system. The chaotification is achieved choosing an appropriate control law and a parametric updating law using Lyapunov stability theory, which provides the stability of the resulting adaptive system and the convergence of the tracking errors to zero. The numerical simulation results show the effectiveness of the proposed method.
Based on orthogonal neural network，a stability theorem[9] and back-stepping approach，a novel adaptive nonlinear observer is designed for a class of fractional-order chaotic system where the nonlinear portion of the structure cannt be evaluated. The projective synchronization of fractional-order BLDCM chaotic system can be achieved.
Speed Control of Brushless DC Motor based on Fractional Order PID Controller