基于滑模自适应控制的不确定混沌系统修正函数投影同步

Modified Function Projective Synchronization Base on SlidingModified Sliding Mode Adaptive Control for Chaotic Systems with UncertaintiesMode Uncertainties

研究了一类不确定混沌系统的修正函数投影同步。首先,设计了一类滑模曲面;基于该曲面设计了同步控制器,并采用自适应技术设计了自适应律对不确定参数进行逼近。在一定条件下,该同步控制方案可以实现2个不确定异结构混沌系统的修正函数投影同步。然后,为保证合适的控制量,对控制增益进行了优化。从同步效果来看,所设计的控制器对混沌系统的不确定项的影响具有较强的鲁棒性。最后,数值仿真验证了该控制器的有效性和可行性。

A modified function projective synchronization of a class of chaotic systems with uncertainties was investigated. Firstly, a sliding mode was designed based on the sliding mode, the synchronization controller was designed, and the adap- tive technology was used to design the adaptive laws to approach the unknown parameters. Under certain conditions, the modified function projective synchronization could be realized between two non-identical chaotic systems. Then, in order to get the appropriate control input, the control gain was optimized. From view point of the effect of the synchrortization, the controller was robust for the uncertainties of systems. Finally, the simulations verified the feasibility and effectiveness of the method.