基于滑模控制实现具有扇区非线性和死区输入的主从混沌系统同步

Synchronization of Master-Slave Chaotic Systems with Sector Nonlinear Inputs Containing Deadzones Based on Sliding Mode Control

分析了一类控制输入具有扇区非线性和死区的不确定主从混沌系统的同步控制问题,设计了一个滑模变结构控制器,并从理论上证明了该控制器能够快速、有效地实现此类主从混沌系统的同步化,并且不受输入非线性、死区以及外部噪声等因素的影响,具有很强的鲁棒性.最后通过对主从Chen系统的自同步和Lü系统与Chen系统的异结构同步的仿真研究,验证了该控制器的有效性。

The synchronization control for a class of uncertain master-slave chaotic systems with sector nonlinear inputs containing deadzones is analyzed and a sliding mode controller proved theoretically is designed,where the controlled master-slave chaotic systems can be quickly synchronized beyond the impact from the uncertainties,sector nonlinearities and deadzones in the inputs.The effectiveness and robustness of the controller are verified by the numerical simulations for the synchronization of Chen system with itself and with Lü system.