二次型最优控制器对噪声干扰下混沌系统的控制

Controlling of chaotic systems with noise interference by quadratic optimized controller

将二次型最优控制方法用于混沌控制,根据噪声干扰下的系统方程构造出二次型最优控制器,并将其用于具有量测噪声和输入噪声干扰下的R ssler混沌系统和Lorenz混沌系统的控制.改变控制矩阵,即改变控制器的作用范围,可以将混沌系统稳定到固有的平衡点或者新的平衡点上.仿真结果证实了该方法的有效性.

The control method of quadratic optimization is used to control chaos in the paper. The quadratic optimized controller is constructed on the basis of the system equation in the presence of noise interference and is used to control the chaotic system and Lorenz system interfered by measure and input noise. As the operation range of control matrix is changed, the method can stabilize the original equilibrium point or stabilize the systems to the new equilibrium point. The simulation results prove that the method is effective.