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Robust disturbance attenuation of fluid dynamic systems with norm-bounded uncertainties
Authors:Shi, Peng   Agarwal, Ramesh K.   Shi, Yan
Affiliation: 1 Centre for Industrial and Applicable Mathematics, School of Mathematics, The University of South Australia, The Levels Campus, Mawson Lakes SA 5095, Australia 2 National Institute for Aviation Research, Department of Aerospace Engineering, Wichita State University, Wichita, KS 67260-0044, USA 3 School of Engineering, Kyushu Tokai University, 9-1-1, Toroku, Kumamoto 862-8652, Japan
Abstract:In this paper, we consider the problem of robust control of fluid dynamic systems in an H{infty}sense. The system under studyis nonlinear in state and linear in inputs with parameter uncertaintiesin all entries. The controller is designed, via Hamilton–Jacobiequation and Riccati equation approaches, such that the resultingclosed-loop systems is robust stable and has a robust H{infty}performance.In particular, it is shown that the robust H{infty}control problemis solvable for a nonlinear system (governed by Navier–Stokes equation) in the neighbourhood of the origin if a robust H{infty}controlproblem is solvable for a corresponding linearized system.
Keywords:H  /math/infin.gif"   ALT="  {infty}"   BORDER="  0"  >control   nonlinear system   parameter uncertainty   robust performance.
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