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中文摘要：
研究了具有未知扇区非线性输入且含有模型不确定性和外部干扰的混沌系统的修正投影同步问题.基于Lyapunov稳定性理论和滑模控制方法,设计了具有积分环节的滑模面和自适应滑模同步控制器,实现了驱动-响应系统的修正投影同步.该方法考虑了由于执行器限制等因素引起的控制输入的非线性影响,并且在控制器的设计中,不需要预先知道扇区非线性输入函数的界值.所设计控制器不受系统模型不确定性、外界干扰和非线性输入的影响,可适用于任意混沌系统,具有很强的鲁棒性和通用性.以Lorenz混沌系统和Chen混沌系统为例的仿真研究表明该控制方法的有效性.
英文摘要：
The modified projective synchronization of chaotic system with unknown sector nonlinearity input, model uncertainties and external perturbation was discussed. Based on Lyapunov stability theory and sliding mode variable structure control method, a stable integral-type sliding surface was defined and an adaptive sliding mode controller was designed. By using the controller, the drive and response systems could realize modified projective synchronization when the control input was influenced through nonlinearities produced by actuator or external uncertainty recourses. The approach does not need to known the bounds of the sector nonlinear input function in advance. The proposed controller has strong robustness and versatility since it is applicable to any chaotic system and beyond the impact of input sector nonlinearity, model uncertainty and external perturbation. Simulation results of the uncertain Lorenz chaotic system and Chen chaotic system show the efficiency of the proposed controller.
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