Robust control of uncertain differential linear repetitive processes |
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Authors: | Ligang Wu Zidong Wang |
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Affiliation: | aSpace Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, PR China;bDepartment of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom |
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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. |
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Keywords: | Dynamic output feedback control Linear matrix inequality (LMI) Linear repetitive processes (LRPs) mml24" > text-decoration:none color:black" href=" /science?_ob=MathURL&_method=retrieve&_udi=B6V4X-4RFD3KS-3&_mathId=mml24&_user=10&_cdi=5770&_rdoc=9&_acct=C000053510&_version=1&_userid=1524097&md5=de8f496dadf56c90c7736dac9c1524b9" title=" Click to view the MathML source" alt=" Click to view the MathML source" >L2– L∞ performance Uncertainty |
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