{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T13:47:50Z","timestamp":1760708870542,"version":"3.37.3"},"reference-count":39,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2015,7,15]],"date-time":"2015-07-15T00:00:00Z","timestamp":1436918400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61174093"],"award-info":[{"award-number":["61174093"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["61273145"],"award-info":[{"award-number":["61273145"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Guangdong Innovative and Entrepreneurial Research Team Program","award":["2013G076"],"award-info":[{"award-number":["2013G076"]}]},{"name":"Shenzhen Technology Research Program","award":["JSGG 20130624101448362"],"award-info":[{"award-number":["JSGG 20130624101448362"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multidim Syst Sign Process"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1007\/s11045-015-0336-5","type":"journal-article","created":{"date-parts":[[2015,7,14]],"date-time":"2015-07-14T17:36:42Z","timestamp":1436895402000},"page":"941-966","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Two-dimensional generalized predictive control (2D-GPC) scheme for the batch processes with two-dimensional (2D) dynamics"],"prefix":"10.1007","volume":"26","author":[{"given":"Jia","family":"Shi","sequence":"first","affiliation":[]},{"given":"Bo","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Zhikai","family":"Cao","sequence":"additional","affiliation":[]},{"given":"Hua","family":"Zhou","sequence":"additional","affiliation":[]},{"given":"Yi","family":"Yang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,7,15]]},"reference":[{"key":"336_CR1","doi-asserted-by":"crossref","first-page":"1090","DOI":"10.1109\/TSMCB.2007.904830","volume":"37","author":"H Ahn","year":"2007","unstructured":"Ahn, H., Chen, Y., & Moore, K. L. (2007). Iterative learning control\u2014brief survey and categorization. IEEE Transactions on Systems, Man, and Cybernetics-Part C: Applications and Reviews, 37, 1090\u20131121.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics-Part C: Applications and Reviews"},{"key":"336_CR2","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1007\/978-1-4612-0571-5_4","volume":"1","author":"KL Moore","year":"1999","unstructured":"Moore, K. L. (1999). Iterative learning control\u2014an expository overview. Applied Computational Controls, Signals Processing Circuits, 1, 151\u2013241.","journal-title":"Applied Computational Controls, Signals Processing Circuits"},{"key":"336_CR3","doi-asserted-by":"crossref","first-page":"1367","DOI":"10.1016\/j.mechmachtheory.2004.05.021","volume":"39","author":"S Gopinath","year":"2004","unstructured":"Gopinath, S., & Kar, I. N. (2004). Iterative learning control scheme for manipulators including actuator dynamics. Mechanism and Machine Theory, 39, 1367\u20131384.","journal-title":"Mechanism and Machine Theory"},{"key":"336_CR4","doi-asserted-by":"crossref","first-page":"822","DOI":"10.1109\/TCST.2002.804117","volume":"10","author":"M Mezghani","year":"2002","unstructured":"Mezghani, M., Roux, G., Cabassud, M., et al. (2002). Application of iterative learning control to an exothermic semibatch chemical reactor. IEEE Transactions on Control Systems Technology, 10, 822\u2013834.","journal-title":"IEEE Transactions on Control Systems Technology"},{"key":"336_CR5","unstructured":"Youssef, C. B., Waissman, J., & Vazquez, G. (2003). An Iterative learning control strategy for a fedbatch phenol degradation reactor. In Proceedings of IASTED international conference on circuits, signals, systems."},{"key":"336_CR6","doi-asserted-by":"crossref","first-page":"6802","DOI":"10.1021\/ie034006j","volume":"42","author":"Z Xiong","year":"2003","unstructured":"Xiong, Z., & Zhang, J. (2003). Product quality trajectory tracking in batch processes using iterative learning control based on time-varying perturbation models. Industrial and Engineering Chemistry Research, 42, 6802\u20136814.","journal-title":"Industrial and Engineering Chemistry Research"},{"key":"336_CR7","first-page":"351","volume":"11","author":"BC Youssef","year":"2012","unstructured":"Youssef, B. C., & Zepeda, A. (2012). Iterative learning estimation of a parameterized input trajectory to control fedbatch fermentation processes: A case study. Revista Mexicana de Ingenieria Quimica, 11, 351\u2013362.","journal-title":"Revista Mexicana de Ingenieria Quimica"},{"key":"336_CR8","doi-asserted-by":"crossref","first-page":"7025","DOI":"10.1016\/S0009-2509(01)00339-6","volume":"56","author":"FR Gao","year":"2001","unstructured":"Gao, F. R., Yang, Y., & Shao, C. (2001). Robust iterative learning control with applications to injection molding process. Chemical Engineering Science, 56, 7025\u20137034.","journal-title":"Chemical Engineering Science"},{"key":"336_CR9","doi-asserted-by":"crossref","first-page":"40","DOI":"10.3139\/217.2501","volume":"27","author":"Y Yang","year":"2012","unstructured":"Yang, Y., Yao, K., & Gao, F. R. (2012). Overall control system for injection molding process. Interational Polymer Processing, 27, 40\u201359.","journal-title":"Interational Polymer Processing"},{"key":"336_CR10","unstructured":"Solomon, P. R., Rosenthal, P., Spartz, M., et al. (2001). Advanced process control in semiconductor manufacturing. In Proceedings of annual quality congress proceedings (pp. 185\u2013187)."},{"key":"336_CR11","doi-asserted-by":"crossref","first-page":"1268","DOI":"10.1016\/j.conengprac.2006.11.003","volume":"15","author":"A Su","year":"2007","unstructured":"Su, A., Jeng, J., Huang, H., et al. (2007). Control relevant issues in semiconductor manufacturing\u2014overview with some new results. Control Engineering Practice, 15, 1268\u20131279.","journal-title":"Control Engineering Practice"},{"key":"336_CR12","volume-title":"Computer control of batch processes","author":"WT Shaw","year":"1982","unstructured":"Shaw, W. T. (1982). Computer control of batch processes. Cockeysville, MD: EMC Controls Inc."},{"key":"336_CR13","doi-asserted-by":"crossref","first-page":"1306","DOI":"10.1016\/j.conengprac.2006.11.013","volume":"15","author":"JH Lee","year":"2007","unstructured":"Lee, J. H., & Lee, K. S. (2007). Iterative learning control applied to batch processes: An overview. Control Engineering Practice, 15, 1306\u20131318.","journal-title":"Control Engineering Practice"},{"key":"336_CR14","doi-asserted-by":"crossref","first-page":"907","DOI":"10.1016\/j.jprocont.2005.02.005","volume":"15","author":"J Shi","year":"2005","unstructured":"Shi, J., Gao, F. R., & Wu, T. J. (2005). Robust design of integrated feedback and iterative learning control of a batch process based on a 2D Roesser system. Journal of Process Control, 15, 907\u2013924.","journal-title":"Journal of Process Control"},{"key":"336_CR15","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1080\/00207179608921697","volume":"65","author":"N Amann","year":"1996","unstructured":"Amann, N., Owens, D. H., & Rogers, E. (1996). Iterative learning control using optimal feedback and feedforward actions. International Journal of Control, 65, 277\u2013293.","journal-title":"International Journal of Control"},{"key":"336_CR16","doi-asserted-by":"crossref","first-page":"1001","DOI":"10.1016\/S0005-1098(98)00028-4","volume":"34","author":"J Moon","year":"1998","unstructured":"Moon, J., Doh, T., & Chung, M. J. (1998). A robust approach to iterative learning control design for uncertain systems. Automatica, 34, 1001\u20131004.","journal-title":"Automatica"},{"key":"336_CR17","volume-title":"Two-dimensional linear systems","author":"T Kaczorek","year":"1985","unstructured":"Kaczorek, T. (1985). Two-dimensional linear systems. Berlin: Springer."},{"key":"336_CR18","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1109\/9.186321","volume":"38","author":"JE Kurek","year":"1993","unstructured":"Kurek, J. E., & Zaremba, M. B. (1993). Iterative learning control synthesis based on 2-D system theory. Ieee Transactions on Automatic Control, 38, 121\u2013125.","journal-title":"Ieee Transactions on Automatic Control"},{"key":"336_CR19","doi-asserted-by":"crossref","unstructured":"Rogers, E., & Owens, D. H. (1994). 2D systems theory and applications\u2014a maturing area. In Proceedings of international conference control (pp. 63\u201369).","DOI":"10.1049\/cp:19940110"},{"key":"336_CR20","doi-asserted-by":"crossref","unstructured":"Amann, N., Owens, D. H., & Rogers, E. (1994). 2D systems theory applied to learning control systems. In Proceedings of conference on decision and control (pp. 985\u2013986).","DOI":"10.1109\/CDC.1994.411268"},{"key":"336_CR21","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1023\/A:1008494815252","volume":"11","author":"DH Owens","year":"2000","unstructured":"Owens, D. H., Amann, E. R. N., & French, M. (2000). Analysis of linear iterative learning control schemes\u2014a 2D systems\/repetitive processes approach. Multidimensional Systems and Signal Processing, 11, 125\u2013177.","journal-title":"Multidimensional Systems and Signal Processing"},{"key":"336_CR22","doi-asserted-by":"crossref","first-page":"722","DOI":"10.1109\/TCSI.2003.811029","volume":"50","author":"Y Fang","year":"2003","unstructured":"Fang, Y., & Chow, T. W. S. (2003). 2-D analysis for iterative learning controller for discrete-time systems with variable initial conditions. IEEE Transactions on Circuits and Systems I-Fundamental Theory and Applications, 50, 722\u2013727.","journal-title":"IEEE Transactions on Circuits and Systems I-Fundamental Theory and Applications"},{"key":"336_CR23","doi-asserted-by":"crossref","unstructured":"French, M., Rogers, E., Wibowo, H., et al. (2001). A 2D systems approach to iterative learning control based on nonlinear adaptive control techniques. In Proceedings of 2001 IEEE international symposium circuits system (pp. 429\u2013432).","DOI":"10.1109\/ISCAS.2001.921099"},{"key":"336_CR24","doi-asserted-by":"crossref","unstructured":"Shi, J., Gao, F. R., & Wu, T. J. (2006). 2D model predictive iterative learning control schemes for batch processes. In Proceedings of IFAC international symposium on advanced control of chemical processes 2006 (pp. 215\u2013220).","DOI":"10.3182\/20060402-4-BR-2902.00215"},{"key":"336_CR25","doi-asserted-by":"crossref","first-page":"4603","DOI":"10.1021\/ie051297i","volume":"45","author":"J Shi","year":"2006","unstructured":"Shi, J., Gao, F. R., & Wu, T. J. (2006). From two-dimensional linear quadratic optimal control to iterative learning control. Paper 1. Two-dimensional linear quadratic optimal controls and system analysis. Industrial and Engineering Chemistry Research, 45, 4603\u20134616.","journal-title":"Industrial and Engineering Chemistry Research"},{"key":"336_CR26","doi-asserted-by":"crossref","first-page":"4617","DOI":"10.1021\/ie051298a","volume":"45","author":"J Shi","year":"2006","unstructured":"Shi, J., Gao, F. R., & Wu, T. J. (2006). From two-dimensional linear quadratic optimal control to iterative learning control. Paper 2. Iterative learning controls for batch processes. Industrial and Engineering Chemistry Research, 45, 4617\u20134628.","journal-title":"Industrial and Engineering Chemistry Research"},{"key":"336_CR27","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1016\/j.jprocont.2007.02.002","volume":"17","author":"J Shi","year":"2007","unstructured":"Shi, J., Gao, F. R., & Wu, T. J. (2007). Single-cycle and multi-cycle generalized 2D model predictive iterative learning control (2D-GPILC) schemes for batch processes. Journal of Process Control, 17, 715\u2013727.","journal-title":"Journal of Process Control"},{"key":"336_CR28","doi-asserted-by":"crossref","unstructured":"Shi, J., Gao, F. R., & Wu, T. J. (2007). Higher-order generalized 2D predictive iterative learning control schemes. In Proceedings of 8th international symposium on dynamics and control of process systems, DYCOPS2007.","DOI":"10.3182\/20070606-3-MX-2915.00088"},{"key":"336_CR29","unstructured":"Yang Y., Shi J., & Gao, F. R. (2012). Injection velocity control using 2D model predictive iterative learning algorithm. In Proceedings of the SPE ANTEC@NPE2012 conference."},{"key":"336_CR30","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1016\/j.ces.2011.12.028","volume":"71","author":"Y Wang","year":"2012","unstructured":"Wang, Y., Liu, T., & Zhao, Z. (2012). Advanced PI control with simple learning set-point design: Application on batch processes and robust stability analysis. Chemical Engineering Science, 71, 153\u2013165.","journal-title":"Chemical Engineering Science"},{"key":"336_CR31","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.jprocont.2012.08.004","volume":"23","author":"Y Wang","year":"2013","unstructured":"Wang, Y., Yang, Y., & Zhao, Z. (2013). Robust stability analysis for an enhanced ILC-based PI controller. Journal of Process Control, 23, 201\u2013214.","journal-title":"Journal of Process Control"},{"key":"336_CR32","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1016\/j.jprocont.2013.02.009","volume":"23","author":"L Wang","year":"2013","unstructured":"Wang, L., Mo, S., Zhou, D., et al. (2013). Delay-range-dependent robust 2D iterative learning control for batch processes with state delay and uncertainties. Journal of Process Control, 23, 715\u2013730.","journal-title":"Journal of Process Control"},{"key":"336_CR33","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1016\/j.conengprac.2013.05.009","volume":"21","author":"L Wang","year":"2013","unstructured":"Wang, L., Mo, S., Qu, H., & Gao, F. R. (2013). $$H_\\infty $$ H \u221e Design of 2D controller for batch processes with uncertainties and interval time-varying delays. Control Engineering Practice, 21, 1321\u20131333.","journal-title":"Control Engineering Practice"},{"key":"336_CR34","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.jprocont.2014.07.002","volume":"12","author":"T Liu","year":"2014","unstructured":"Liu, T., Wang, X. Z., & Chen, J. (2014). Robust PID based indirect-type iterative learning control for batch processes with time-varying uncertainties. Journal of Process Control, 12, 95\u2013106.","journal-title":"Journal of Process Control"},{"issue":"4","key":"336_CR35","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/j.conengprac.2009.12.003","volume":"18","author":"L Hladowski","year":"2010","unstructured":"Hladowski, L., Galkowski, K., Cai, Z., et al. (2010). Experimentally supported 2D systems based iterative learning control law design for error convergence and performance. Control Engineering Practice, 18(4), 339\u2013348.","journal-title":"Control Engineering Practice"},{"key":"336_CR36","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.sysconle.2013.11.002","volume":"64","author":"B Cichy","year":"2014","unstructured":"Cichy, B., Ga\u0142kowski, K., & Rogers, E. (2014). 2D systems based robust iterative learning control using noncausal finite-time interval data. Systems and Control Letters, 64, 36\u201342.","journal-title":"Systems and Control Letters"},{"key":"336_CR37","doi-asserted-by":"crossref","unstructured":"Shi, J., Gao, F. R., Jiang, Q., et al. (2009). A design framework for iterative learning control (ILC) based on 2-dimensional model predictive control (2D-MPC). In Proceedings of the 21st Chinese control and decision conference (2009 CCDC) (pp. 1746\u20131751).","DOI":"10.1109\/CCDC.2009.5192274"},{"key":"336_CR38","doi-asserted-by":"crossref","unstructured":"Xu, J. X., & Xu, J. (2002). Iterative learning control for non-uniform trajectory tracking problems. In Proceedings of IFAC 15th world congress.","DOI":"10.3182\/20020721-6-ES-1901.01050"},{"key":"336_CR39","unstructured":"The Society of the Plastics Industry Website \u201cAbout SPI\u201d. (2012). http:\/\/www.plasticsindustry.org ."}],"container-title":["Multidimensional Systems and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-015-0336-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11045-015-0336-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11045-015-0336-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,28]],"date-time":"2019-08-28T02:51:18Z","timestamp":1566960678000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11045-015-0336-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,7,15]]},"references-count":39,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["336"],"URL":"https:\/\/doi.org\/10.1007\/s11045-015-0336-5","relation":{},"ISSN":["0923-6082","1573-0824"],"issn-type":[{"type":"print","value":"0923-6082"},{"type":"electronic","value":"1573-0824"}],"subject":[],"published":{"date-parts":[[2015,7,15]]}}}