退化分数阶不确定系统的鲁棒镇定

Robust Stabilization for Singular Fractional Systems with Uncertainties

基于分数阶微分理论和Lyapunov函数的构建,对一类含不确定项的退化分数阶系统进行鲁棒镇定研究.首先利用"descriptor form"方法构造了一类新分数阶系统,然后利用状态反馈控制得到系统鲁棒镇定条件,最后结论以LMI方法给出,易于求解反馈增益矩阵.

Based on fractional differential theory and Lyapunov function,this paper researches robust stabilization for a class of singular fractional systems with uncertainties.This paper firslty constructs new fractional system by ＂ descriptor form＂ method.Using state feedback control,the condition of robust stabilization is established,and the results given by LMI that are easy to resolve the gain matrix in the system.