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DC Field | Value | Language |
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dc.contributor.author | Wu, L | - |
dc.contributor.author | Wang, Z | - |
dc.date.accessioned | 2011-04-01T14:31:55Z | - |
dc.date.available | 2011-04-01T14:31:55Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Systems & Control Letters, 57(5): 425-435, May 2008 | en_US |
dc.identifier.issn | 0167-6911 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/4924 | - |
dc.description | This is the post print version of the article. The official published version can be obtained from the link - Copyright 2008 Elsevier Ltd | en_US |
dc.description.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. | en_US |
dc.description.sponsorship | This work was supported in part by the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant GR/S27658/01, the Nuffield Foundation of the UK under Grant NAL/00630/G, and the Alexander von Humboldt Foundation of Germany. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Dynamic output feedback control | en_US |
dc.subject | Linear matrix inequality (LMI) | en_US |
dc.subject | Linear repetitive processes (LRPs) | en_US |
dc.subject | L2–L∞ performance | en_US |
dc.subject | Uncertainty | en_US |
dc.title | Robust L2–L∞ control of uncertain differential linear repetitive processes | en_US |
dc.type | Research Paper | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/j.sysconle.2007.10.005 | - |
Appears in Collections: | Computer Science Dept of Computer Science Research Papers |
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