Repetitive and 2-D systems theory approach for modeling in gas networks

Abstract

The paper introduces some classes of differential repetitive processes and discrete 2-D control system for modeling gas distribution networks. These models are suitable for handling problems of optimal control of pressure and flow in gas transport pipeline units and in a pipeline networks. The focus is on the development of a comprehensive optimization theory based on a constructive approach.

Stability analysis and stabilization of 2-D switched systems under arbitrary and restricted switchings

“…In the past few decades, discrete-time two-dimensional (2-D) systems have gained considerable attention since a large number of practical systems can be modeled as 2-D systems, such as those in repetitive processes, image data processing and transmission, thermal processes, gas absorption, water stream heating Dymkov & Dymkou, 2012;Kaczorek, 1985;Marszalek, 1984), and iterative learning control (Cichy, Galkowski, Rogers, & Kummert, 2011;Dabkowski et al, 2013), where one direction of information is from trial-to-trial and the other is along a trial. So far, many important results have been reported in the literature, see for example, Bouagada and Dooren (2013), Gao, Lam, Xu, and Wang (2004), Li and Gao (2012), Paszke, Lam, Gałkowski, Xu, and Lin (2004), Wu, Shi, Gao, and Wang (2008), Wu, Yao, and Zheng (2012), Xiang and Huang (2013), Yang, Xie, and Zhang (2006) and ✩ The material in this paper was not presented at any conference.…”