论文期刊

论文标题    Reinforced gradient-type iterative learning control for discrete linear time-invariant systems with parameters uncertainties and external noises
作者    Xuan Yang, Xiaoe Ruan
发表/完成日期    2017-12-01
期刊名称    IMA Journal of Mathematical Control and Information
期卷    34(4)
相关文章   
论文简介    In this article, a reinforced gradient-type iterative learning control algorithm is developed for a type of discrete linear time-invariant systems with parameters uncertainties and external noises. The technique is to construct a symmetric learning gain matrix on basis of the system Markov parameters and an appropriate learning step length. First, for the case when both the model uncertainties and the external noises are absent, sufficient and necessary monotone convergences of the proposed algorithm are derived by means of matrix theory and norm inequality under the assumption that the learning step length is properly chosen. Then, for the cases when the model uncertainties are tolerable and the external noises are bounded, the robust monotone convergence and robustness are respectively analysed. Compared with the conventional gradient-type iterative learning control scheme, the proposed reinforced one is more efficient in speeding up the convergent tracking performance and resisting perturbations. Numerical simulations testify the validity and the effectiveness as well as the feasibility.