共查询到19条相似文献,搜索用时 62 毫秒
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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.
关键词:
区间分数阶时不变系统
分数阶混沌系统
混沌同步 相似文献
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The stability control of fractional order unified chaotic system with sliding mode control theory 下载免费PDF全文
This paper studies the stability of the fractional order unified chaotic system with sliding mode control theory. The sliding manifold is constructed by the definition of fractional order derivative and integral for the fractional order unified chaotic system. By the existing proof of sliding manifold, the sliding mode controller is designed. To improve the convergence rate, the equivalent controller includes two parts: the continuous part and switching part. With Gronwall’s inequality and the boundness of chaotic attractor, the finite stabilization of the fractional order unified chaotic system is proved, and the controlling parameters can be obtained. Simulation results are made to verify the effectiveness of this method. 相似文献
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This paper studies the stability of the fractional order
unified chaotic system. On the unstable equilibrium points, the
``equivalent passivity' method is used to design the nonlinear
controller. With the definition of fractional derivatives and
integrals, the Lyapunov function is constructed by which it is
proved that the controlled fractional order system is stable. With
Laplace transform theory, the equivalent integer order state
equation from the fractional order nonlinear system is obtained, and the
system output can be solved. The simulation results validate the
effectiveness of the theory. 相似文献
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A general method for synchronizing an integer-order chaotic system and a fractional-order chaotic system 下载免费PDF全文
This paper investigates the synchronization between integer-order and fractional-order chaotic systems.By intro-ducing fractional-order operators into the controllers,the addressed problem is transformed into a synchronization one among integer-order systems.A novel general method is presented in the paper with rigorous proof.Based on this method,effective controllers are designed for the synchronization between Lorenz systems with an integer order and a fractional order,and for the synchronization between an integer-order Chen system and a fractional-order Liu system.Numerical results,which agree well with the theoretical analyses,are also given to show the effectiveness of this method. 相似文献
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Adaptive lag synchronization and parameter identification of fractional order chaotic systems 下载免费PDF全文
This paper proposes a simple scheme for the lag synchronization and the parameter identification of fractional order chaotic systems based on the new stability theory. The lag synchronization is achieved and the unknown parameters are identified by using the adaptive lag laws. Moreover, the scheme is analytical and is simple to implement in practice. The well-known fractional order chaotic Lü system is used to illustrate the validity of this theoretic method. 相似文献