Title: Observer-based finite-region dissipative control of 2D FM systems

Authors: Lingling Li; Rongni Yang

Addresses: School of Control Science and Engineering, Shandong University, Jinan 250061, China ' School of Control Science and Engineering, Shandong University, Jinan 250061, China; Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai 200240, China

Abstract: This paper is concerned with the problem of finite-region dissipative observer-based control for a class of discrete-time two-dimensional (2D) systems formulated by the Fornasini-Marchesini (FM) model subject to missing measurements. Firstly, the concepts of finite-region boundedness (FRB) and finite-region (T, S, R)-ϑ-dissipativity for 2D systems are introduced, respectively. Secondly, the FRB and finite-region (T, S, R)-ϑ-dissipativity are investigated for the resulting closed-loop systems, and then the corresponding conditions are derived. Based on the obtained results, the observer-based output feedback controller is designed, and the example of metal rolling process is employed to illustrate the effectiveness of the proposed design method.

Keywords: 2D FM systems; FRB; finite-region boundedness; dissipativity; observer; missing measurements.

DOI: 10.1504/IJSCIP.2019.101092

International Journal of System Control and Information Processing, 2019 Vol.3 No.1, pp.59 - 75

Received: 13 Mar 2019
Accepted: 17 Apr 2019
Published online: 23 Jul 2019 *

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