一类不确定线性系统的鲁棒自适应控制

针对一类同时具有匹配不确定性和不匹配政治面目 确定性的线性系统，首先采用李雅普诺夫稳定性定理，结合基于矩阵不等式的鲁棒控制器设计方法和变结构控制方法，设计鲁棒控制器，使得闭环系统是二次渐近稳定的，然后，利用自适应参数估计方法，设计具有匹配不确定性范数界估计能力的鲁棒自适应控制器，保证闭环系统的一致终结有界，在此基础上，进一步考虑系统中可能的未知不确定性，分析闭环系统的鲁棒性，并得到了相应的控制器设计方法。

Robust Adaptive Control for a Class of Uncertain Linear Systems

The problem of robust stabilization for a class of linear systems with matching and mismatching uncertainties is discussed. Based on Lyapunov stability theory and linear matrix inequality method, the designing approach of robust variable structure controller is derived. A robust adaptive controller being able to estimate the upper norms of the boundedness of the matching uncertainties is presented with the adaptive parameter estimation method. Furthermore, the method of designing robust controller for the system with unknown uncertainties is proposed.