应用脉冲控制方法鲁棒镇定混沌鲁里叶系统

Impulsive Control Approach for Robust Stabilization of Chaotic Lurie System

研究混沌鲁里叶系统的鲁棒镇定问题。利用李雅普诺夫函数以及脉冲控制技术使得受不确定扰动的混沌鲁里叶系统渐近镇定到平衡点,并给出相应的充分条件;最后,给出数值示例说明得到的脉冲控制律可以有效镇定混沌鲁里叶系统。

This paper studies the robust stabilization problem of chaotic Lurie system. By using the Lyapunov functional and impulsive control technique, a chaotic Lurie system with uncertain disturbance is asymptotically stabilized to the equilibrium point. The corresponding sufficient conditions of robust stabilization of the system are discussed. A numerical example is also given.