摘要
讨论了具有不确定参数和外界扰动的非线性电阻-电容-电流分路结模型(RCLSJ)混沌系统的广义控制问题。基于Lyapunov稳定性理论和滑模变结构控制方法,设计了鲁棒自适应滑模控制器,使得RCLSJ混沌系统能以任意比例因子追踪期望的参考信号。该方法不需要预先知道不确定参数和外界扰动的上下界,在控制器中引入一类简单的自适应律,用以在线估计参数和界值。该控制方法对参数不匹配和外界扰动具有较强的鲁棒性。数值仿真表明了该方法的有效性。
his paper discussed the generalized tracking control problem of chaotic dynamics in resistive capacitive inductance shunted Josephson (RCLSJ) model, which had uncertain parameters and external disturbances: Based on Lyapunov stability the- ory and sliding mode variable structure control method, the robust adaptive sliding controllers (RASMC) were designed, by that the chaotic dynamics in RCLSJ model could asymptotically track any desired reference signal. Suitable update laws were designed to online estimate the unknown parameters and bounds of the external disturbances. Numerical simulations show the effectiveness of the proposed method.
出处
《低温与超导》
CAS
CSCD
北大核心
2012年第8期40-43,48,共5页
Cryogenics and Superconductivity
基金
国家自然科学基金(61070238)
国家自然科学基金(61002007)
关键词
鲁棒自适应滑模控制
RCLSJ混沌模型
外部扰动
不确定参数
Robust adaptive sliding mode control, Chaos in RCLSJ model, External disturbances, Uncertain parameters