Iterative learning control design method for linear discrete-time uncertain systems with iteratively periodic factors
Iterative learning control design method for linear discrete-time uncertain systems with iteratively periodic factors
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DOI：
10.1049/iet-cta.2014.1367
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发表时间：
2015-10
影响因子：
2.6
通讯作者：
Qiao Zhu;G. Hu;Weiqun Liu
中科院分区：
文献类型：
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作者：
Qiao Zhu;G. Hu;Weiqun Liu
针对一类具有迭代周期因子的线性离散时间系统，提出了一种基于二维H ∞的迭代学习控制设计方法，该迭代周期因子包括初始状态、参数不确定性、干扰、测量噪声和参考轨迹.首先，线性系统的迭代学习控制设计问题被描述为二维不确定Roesser模型的控制器设计问题。其次，研究了一般边界条件下二维Roesser模型的H ∞性能。第三，利用线性矩阵不等式方法，给出了一个迭代学习控制器的设计准则，以达到理想的跟踪和指定的H ∞性能。最后，通过数值算例验证了所提迭代学习控制设计方法的有效性.
In this study, a two-dimensional (2D) H ∞-based method is presented for the iterative learning control (ILC) design problem of a class of linear discrete-time systems with iteratively periodic factors, including initial states, parametric uncertainties, disturbances, measurement noises, and reference trajectories. First, the ILC design problem of the linear systems is described as a controller design problem of 2D uncertain Roesser models. Second, the H ∞ performance of 2D Roesser models is studied under a general boundary condition. Third, an ILC design criterion is presented to achieve the perfect tracking and specified H ∞ performance by using linear matrix inequality approaches. Finally, a numerical example is given to illustrate the efficiency of the proposed ILC design method.