【摘要】 在参数未知的情况下,通过设计最优控制器和参数自适应律实现了新的四维混沌系统与超混沌吕系统的同步.接着根据Lyapunov稳定性原理和Hamilton-Jacobi-Bellman方程,选取Lyapunov函数和合适的性能指标函数从理论上证明这种方法的有效性.理论证明结果表明所设计的控制器能使性能指标函数取得最小值,是最优的.最后又通过matlab软件对同步系统进行数值仿真,仿真结果显示驱动系统与响应系统能够很好地达到了同步,表明方法是可行有效的.更多还原

【Abstract】 In this paper the synchronization between a new four-dimensional chaotic system and hyperchaotic Lü system is achieved with fully unknown parameters through design optimal controller and parameters updating rule.It is proved that the validity of this synchronous method theoretically is feasible by Lyapunov method and Hamilton-Jacobi-Bellman equation.Finally,a simulation is conducted with Matlab to prove the synchronized of two different chaotic systems.Simulation results show that this method is efficient.更多还原