摘要
本文对单输入单输出、线性时变对象的电液伺服模型参考自适应控制系统(MRAS)的广义状态误差与自适应信号的关系进行了详细的分析和数学推导。证明了线性时变对象状态变化量与输入信号变化量之间的线性时变关系定理。证明了线性时变对象的MRAS广义状态误差变化量与自适应信号变化量之间的线性时变关系定理。
In this paper,the relationship between the generalized state errors and the adaptive sig-nal of the MRAS with a linear time variant plant has been analysed in details.Two theo-rems have been put forward and proved. The first is the theorem of the relationship be- tween the state changes and the input changes of the plant.The second is the theorem ofthe relationship between the generalized state errors and the adaptive signal of the MRAS.