Optimal control of a large thermic process. (January 2015)

• Record Type: Journal Article
• Authors: Titouche, Saliha; Spiteri, Pierre; Messine, Frédéric; Aidene, Mohamed
• Is Part Of: Journal of process control. Volume 25(2015:Jan.)
• Page Start: 50
• Page End: 58
• Publication Date: 2015-01
• Subjects: Optimal control -- Relaxation method -- Shooting method -- Sub-differential -- Thermic process -- Large scale systems; Process control -- Periodicals; Fabrication -- Contrôle -- Périodiques; Process control; Periodicals; Electronic journals; 660.281
• DOI: 10.1016/j.jprocont.2014.09.015
• Languages: English
• ISSNs: 0959-1524

Abstract

Abstract : Highlights: The studied problem concerns the optimal regulation of a vertical oven. The relaxation method is coupled with the shooting technique to solve this problem. The convergence of the numerical procedure is presented. Numerical experiments are provided. Abstract: The studied problem concerns the optimal regulation with a fixed horizon of two vertical ovens having respectively three or twelve heating areas. The model of the thermal process is described thanks to a linear state equation with a quadratic criterion to minimize. Furthermore, the terminal state is fixed and the state is subjected to some constraints. We propose and analyze the relaxation method coupled with the shooting method to solve this problem. The convergence of the numerical procedure is presented. Numerical experiments are done and validate our approach.