H2 and mixed H2 / H∞ control of two-dimensional systems in Roesser model

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Title: H2 and mixed H2 / H∞ control of two-dimensional systems in Roesser model
Author(s): Yang, Ran; Xie, Lihua; Zhang, Cishen
Abstract: The H2 performance specification for one-dimensional (1-D) systems has been known to be analytically and practically meaningful and widely applied to the analysis and design of control and signal processing systems. However, there has been few results on the analysis and design of two-dimensional (2-D) systems using the H2 performance specification due to the structural and dynamical complexity of 2-D systems. In this paper, we extend the classical definition of the H2 performance to 2-D systems and present a sufficient condition for evaluation of the H2 performance of 2-D systems in Roesser model. Using this condition and the existing bounded real lemma, we develop systematic design methods for H2 and mixed H2 / H∞ control of 2-D systems, and an application of the controller design methods to the control problem of a metal rolling process is demonstrated in this paper.
Publication type: Journal article
Source: Automatica, Vol. 42, no. 9 (Sep 2006), pp. 1507-1514
Publication year: 2006
FOR Code(s): 0906 Electrical and Electronic Engineering; 0102 Applied Mathematics
Keyword(s): Control theory; H2 control; Linear matrix inequality; Mathematical models; Problem solving; Roesser model; Signal processing; Systems analysis; Two-dimensional systems
Publisher: Pergamon
ISSN: 0005-1098
Publisher URL: http://dx.doi.org/10.1016/j.automatica.2006.04.002
Peer reviewed