利用迭代学习控制方法, 研究了一类广义系统的状态跟踪问题. 针对广义系统的分解形式, 提出了一种新的迭代学习控制算法, 该算法由部分D型算法和部分P型算法混合而成. 给出了新算法的收敛条件, 并从理论上对新算法进行了完整的收敛性分析. 数值仿真结果说明了所提出的广义系统状态跟踪的迭代学习控制算法的有效性.

By using iterative learning control (ILC) method, the state tracking problem for a class of singular system is studied. According to the decomposition form of singular system, a new ILC algorithm is proposed, which is a mixture of D-type algorithm and P-type algorithm. Then, the convergence conditions of new algorithm are given, and the complete convergence analysis of the proposed algorithm is given from the theory perspective. The numerical simulation results show that the proposed ILC algorithm for the state tracking of singular system is effective.