通过设计一个非线性反馈控制器,实现了分数阶混沌系统的同步.与其他的分数阶混沌系统同步方法相比,提出的控制器设计方法保留了部分误差系统中的非线性项,而没有完全抵消同步误差系统的非线性项,有效改善了误差系统的控制性能.同时,应用区间分数阶线性时不变系统稳定性原理和线性矩阵不等式技术,得到了一个新的分数阶混沌系统同步的充分条件,进而获得的控制器保证了混沌系统同步.仿真结果验证了提出方法的有效性.
Synchronization of fractional-order chaotic systems is investigated by designing a novel nonlinear feedback controller.Compared with the previous reports,the controlled synchronization error system does not need to turn into a linear system and the performance is improved effectively.Furthermore,a novel sufficient stabilization criterion for fractional-order chaotic systems is proposed by introducing a stabilization criterion of an interval fractional-order linear time-invariant system and using the linear matrix inequality technique.Consequently,the chaotic synchronization is ensured.The simulation result verifies the effectiveness of the proposed method.