Finite frequency range robust iterative learning control of linear discrete system with multiple time-delays. Issue 5 (March 2019)

• Record Type: Journal Article
• Authors: Tao, Hongfeng; Paszke, Wojciech; Yang, Huizhong; Gałkowski, Krzysztof
• Is Part Of: Journal of the Franklin Institute. Volume 356:Issue 5(2019)
• Page Start: 2690
• Page End: 2708
• Publication Date: 2019-03
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2019.01.040
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper uses repetitive process stability theory to design robust iterative learning control law for linear discrete systems with multiple time-delays and polytopic uncertainty. Both dynamic and static forms of the control law are considered and used when designing robust iterative learning control schemes. Also, based on the generalized Kalman-Yakubovich-Popov Lemma, the proposed design procedures a required frequency attenuation over a finite frequency range and the monotonic trial-to-trial error convergence. Moreover, linear matrix inequality techniques are applied to formulate the convergence conditions and to obtain formulas for the control law designs. Finally, an illustrative numerical simulation example is given and concludes the paper.