ABSTRACT In this paper, convergent property of a saturation-strategy-based iterative learning control (ILC) law is first investigated for a class of two-dimensional linear discrete first Fornasini–Marchesini model (2-D LDFFM) with input saturation. A three-dimensional dynamical process is transformed into a 2-D dynamical process by row scanning approach or column scanning approach. As a result, it is theoretical proved no matter which method is adopted, perfect tracking on the desired reference surface is accomplished by virtue of the 2-D linear inequality theory. Numerical simulation on a practical thermal process is used to illustrate the effectiveness and feasibility of the designed ILC law. In addition, ILC convergence analysis for 2-D LDFFM with input delay and input saturation is discussed.

中文翻译：

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具有输入饱和度的二维线性离散 Fornasini-Marchesini 模型的迭代学习控制

摘要 在本文中，首先研究了一类具有输入饱和度的二维线性离散第一 Fornasini-Marchesini 模型 (2-D LDFFM) 的基于饱和策略的迭代学习控制 (ILC) 定律的收敛性。通过行扫描方法或列扫描方法将三维动态过程转化为二维动态过程。结果，从理论上证明，无论采用哪种方法，都可以借助二维线性不等式理论实现对所需参考面的完美跟踪。实际热过程的数值模拟用于说明设计的 ILC 定律的有效性和可行性。此外，还讨论了具有输入延迟和输入饱和的二维 LDFFM 的 ILC 收敛分析。