分数阶不确定PMSM混沌系统的自适应滑模同步

Self-adaptive sliding mode synchronization of fractional-order uncertain PMSM chaotic systems

研究分数阶PMSM(permanent magnet synchronization motor)混沌系统的同步问题,根据Lyapunov稳定性理论及分数阶微积分,运用自适应滑模控制理论,通过设计分数阶滑模面及适应规则,研究了其自适应滑模同步问题,得出了系统同步的充分条件,并用数值仿真验证了结论的正确性.

Fractional-order PMSM(permanent magnet synchronization motor)chaotic systems were studied based on Lyapunov stability theory and fractional-order calculus,using self-adaptive sliding mode theory.Fractional-order sliding mode function and adaptive law was designed.Selfr adaptive sliding mode synchronization of hyper chaotic system was researched,the sufficient conditions were established to ensure the systems acquire self-adaptive sliding mode synchronization.Numerical simulations verified the feasibility of the proposed method.