Attractive manifold method for target tracking learning control of a class of degenerate systems
一类退化系统目标跟踪学习控制的吸引流形方法

The target tracking iterative learning control problem is discussed for a class of degenerate systems which do not satisfy the convergence condition. In this case, general learning control methods will suffer more or less difficulties when applying to this kind of systems. To solve this problem, we present a new method-attractive manifold method in which a stable and attractive manifold corresponding to the given system is constructed, and the learning control function sequence is designed simultaneously so as to realize the tracking of the expected target. We also study the feasibility of this newly presented method. In addition, the new method can also be applied to relevant nonlinear systems without any essential difficulties.