Title :
Stability analysis of set-point-related indirect iterative learning control with PI-type local controller
Author :
Wang Youqing ; Zhou Donghua
Author_Institution :
Sch. of Inf. Sci. & Technol., Beijing Univ. of Chem. Technol., Beijing, China
Abstract :
The set-point-related (SPR) indirect iterative learning control (ILC) is used to update the set-point for a local controller. Working as a supervision module for the local controller, SPR indirect ILC can improve the tracking performance of the closed-loop system along the batch direction. In the previous works, the local controller was assumed to be P-type for simplicity. In this work, a more general form for the local controller, the PI-type controller, was studied. Based on a 2-dimensional (2D) Roesser´s system framework, a sufficient condition for asymptotical stability of multi-input multi-output linear batch processes under the SPR indirect ILC was derived in this paper. A numerical example was used to validate the proposed results.
Keywords :
MIMO systems; PI control; adaptive control; asymptotic stability; closed loop systems; control system synthesis; iterative methods; learning systems; 2D Roessers system framework; PI-type local controller; asymptotical stability; closed-loop system; multi-input multi-output linear batch processes; set-point-related indirect iterative learning control; stability analysis; Asymptotic stability; Batch production systems; Linear matrix inequalities; MIMO; Numerical stability; Stability analysis; Symmetric matrices; 2-Dimensional Model; Indirect ILC; Iterative Learning Control; PI-Type Local Control; Set-Point;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6