Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/4924
Title: | Robust L2–L∞ control of uncertain differential linear repetitive processes |
Authors: | Wu, L Wang, Z |
Keywords: | Dynamic output feedback control;Linear matrix inequality (LMI);Linear repetitive processes (LRPs);L2–L∞ performance;Uncertainty |
Issue Date: | 2008 |
Publisher: | Elsevier |
Citation: | Systems & Control Letters, 57(5): 425-435, May 2008 |
Abstract: | For two-dimensional (2-D) systems, information propagates in two independent directions. 2-D systems are known to have both system-theoretical and applications interest, and the so-called linear repetitive processes (LRPs) are a distinct class of 2-D discrete linear systems. This paper is concerned with the problem of L2–L∞ (energy to peak) control for uncertain differential LRPs, where the parameter uncertainties are assumed to be norm-bounded. For an unstable LRP, our attention is focused on the design of an L2–L∞ static state feedback controller and an L2–L∞ dynamic output feedback controller, both of which guarantee the corresponding closed-loop LRPs to be stable along the pass and have a prescribed L2–L∞ performance. Sufficient conditions for the existence of such L2–L∞ controllers are proposed in terms of linear matrix inequalities (LMIs). The desired L2–L∞ dynamic output feedback controller can be found by solving a convex optimization problem. A numerical example is provided to demonstrate the effectiveness of the proposed controller design procedures. |
Description: | This is the post print version of the article. The official published version can be obtained from the link - Copyright 2008 Elsevier Ltd |
URI: | http://bura.brunel.ac.uk/handle/2438/4924 |
DOI: | http://dx.doi.org/10.1016/j.sysconle.2007.10.005 |
ISSN: | 0167-6911 |
Appears in Collections: | Computer Science Dept of Computer Science Research Papers |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 229.18 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.