分数阶鲁棒自适应控制  

Fractional Robust Adaptive Control

作　　者：张隆阁[1] 

机构地区：[1]华北电力大学数理学院,保定071003

出　　处：《自动化与仪表》2010年第6期5-7,21,共4页Automation & Instrumentation

基　　金：华北电力大学青年基金项目(200611001);国家自然科学基金项目(60374015)

摘　　要：研究了分数阶模型参考自适应控制系统。引入了分数阶微积分的概念,利用系统的输入输出,通过构造辅助信号设计了分数阶的自适应控制器和一类新的有界干扰系统的变结构分数阶鲁棒自适应控制器。基于分数阶微积分和Lyapunov稳定性理论,证明了所设计的闭环系统的稳定性。最后,仿真实验验证了此方法的有效性。This paper studies the fractional model reference adaptive system. The fractional calculus is introduced, and using the input and output, the fractional adaptive controller and a new type of fractional switched structure robust controller for the bounded disturb are designed which is based on the auxiliary signals. Based on the fractional calculus and Lyapunov stability theory, the stability of the closed system is proved. At last the effectiveness of this method is showed through the simulation of a robust system.

关 键 词：分数阶微积分 自适应控制 鲁棒 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]