Iterative learning control design method for linear discrete-time uncertain systems with iteratively periodic factors

作者：Zhu, Qiao^*; Hu, Guang-Da; Liu, Wei-Qun

来源：IET Control Theory and Applications, 2015, 9(15): 2305-2311.

DOI：10.1049/iet-cta.2014.1367

• iterative learning control
• control system synthesis
• linear systems
• uncertain systems
• linear matrix inequalities
• discrete time systems
• periodic control
• H control
• linear matrix inequality approach
• general boundary condition
• 2D uncertain Roesser models
• controller design problem
• ILC design problem
• 2D H-based method
• iterative periodic factor
• linear discrete time uncertain system
• iterative learning control design method

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.

• 出版日期2015-10-8
• 单位西南交通大学; 北京科技大学