统一混沌系统的指数型超曲面terminal滑模同步控制

Synchronization Control for Unified Chaos Systems by Using a Kind of Exponential Terminal Hyper-surface

摘要:

讨论了一类统一混沌系统的指数型超曲面terminal滑模控制同步问题,并且针对初始状态离原点的不同,设计了3种超曲面,使得在系统初始状态远离平衡点和接近平衡点的情况下,均能较快地实现同步,从而弥补了接近平衡点收敛速度慢的不足。而且由于指数自适应环节的引入,使得滑模面的形式得到统一与简化,收敛性能得到进一步优化。最后仿真结果表明了该方案的有效性。

Abstract:

The design method of synchronization control of unified chaos systems is considered and three kinds of exponential terminal hyper-surface is proposed which can drive the system state variables into the equilibrium point no matter the initial states is far away or near the equilibrium point in a fast finite time. It is showed that this method is better when the initial state is near the equilibrium point. And by the introduction of adaptive exponent, the three kinds of exponential terminal hyper-surface have an unite format and the performance of control is improved greatly. Finally, the simulation results are presented to show the excellent control effect of the proposed method.