Set-point-related Indirect Iterative Learning Control for Multi-input Multi-output Systems  

作　　者：Huo, Zhen-Yu  Yang, Zhu  Pang, Yan-Jun 

机构地区：[1] School of Information Science and Electrical Engineering, Hebei University of Engineering, Handan 056038, China [2] School of Science, Hebei University of Engineering, Handan 056038, China [3] Institute of Uncertainty Mathematics, Hebei University of Engineering, Handan 056038, China

出　　处：《International Journal of Automation and computing》2012年第3期266-273,共8页国际自动化与计算杂志（英文版）

基　　金：supported by National Natural Science Foundation of China (No. 60874116);Natural Science Foundation of Hebei Province (No. F2009000857)

摘　　要：A form of iterative learning control (ILC) is used to update the set-point for the local controller. It is referred to as set-point-related (SPR) indirect ILC. SPR indirect ILC has shown excellent performance: as a supervision module for the local controller, ILC can improve the tracking performance of the closed-loop system along the batch direction. In this study, an ILC-based P-type controller is proposed for multi-input multi-output (MIMO) linear batch processes, where a P-type controller is used to design the control signal directly and an ILC module is used to update the set-point for the P-type controller. Under the proposed ILC-based P-type controller, the closed-loop system can be transformed to a 2-dimensional (2D) Roesser s system. Based on the 2D system framework, a sufficient condition for asymptotic stability of the closed-loop system is derived in this paper. In terms of the average tracking error (ATE), the closed-loop control performance under the proposed algorithm can be improved from batch to batch, even though there are repetitive disturbances. A numerical example is used to validate the proposed results.A form of iterative learning control (ILC) is used to update the set-point for the local controller. It is referred to as set-point-related (SPR) indirect ILC. SPR indirect ILC has shown excellent performance: as a supervision module for the local controller, ILC can improve the tracking performance of the closed-loop system along the batch direction. In this study, an ILC-based P-type controller is proposed for multi-input multi-output (MIMO) linear batch processes, where a P-type controller is used to design the control signal directly and an ILC module is used to update the set-point for the P-type controller. Under the proposed ILC-based P-type controller, the closed-loop system can be transformed to a 2-dimensional (2D) Roesser s system. Based on the 2D system framework, a sufficient condition for asymptotic stability of the closed-loop system is derived in this paper. In terms of the average tracking error (ATE), the closed-loop control performance under the proposed algorithm can be improved from batch to batch, even though there are repetitive disturbances. A numerical example is used to validate the proposed results.

关 键 词：Iterative learning control (ILC) indirect ILC multi-input multi-output (MIMO) 2-dimensional system asymptotical stability linear matrix inequality (LMI). 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]