时变系统自适应控制中的δ-修正算法

The δ-Modification Algorithm in Adaptive Control of Time Varying Plant

考虑连续时变系统的自适应控制问题 .主要研究应用 δ 修正算法的自适应律 ,不象σ- 修正算法 ,δ 修正算法不需要被估计参数的先验信息 ;导出应用δ 修正的自适应律中信号有界的充分条件 ,从而可指导设计参数的选取 .最后给出仿真例子说明δ 修正算法适用于时变系统的自适应控制 .

The adaptive control problem of linear continuous time varying plants,focusing the interest on adaptive laws employing the so called δ modification is considered in this paper .Unlike σ modification,the δ modification algorithm does not need the a priori knowledge of the estimated parameters.On the other hand,it can adjust the term δ on line and therefore avoid the difficult choices of the value σ.Formulating the ontrol problem as described in [1,2],a sufficient condition which guarantees signal boundedness for adaptive laws using the δ modification and normalization is derived.This condition provides some qualitative guidelines for selection of the design parameters in the adaptive law.The simulation results also show the effetiveness of the new algrithm.