Robust disturbance attenuation of fluid dynamic systems with norm-bounded uncertainties |
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Authors: | Shi, Peng Agarwal, Ramesh K. Shi, Yan |
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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 |
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Abstract: | In this paper, we consider the problem of robust control of fluid dynamic systems in an Hsense. The system under studyis nonlinear in state and linear in inputs with parameter uncertaintiesin all entries. The controller is designed, via HamiltonJacobiequation and Riccati equation approaches, such that the resultingclosed-loop systems is robust stable and has a robust Hperformance.In particular, it is shown that the robust Hcontrol problemis solvable for a nonlinear system (governed by NavierStokes equation) in the neighbourhood of the origin if a robust Hcontrolproblem is solvable for a corresponding linearized system. |
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Keywords: | H /math/infin.gif" ALT=" {infty}" BORDER=" 0" >control nonlinear system parameter uncertainty robust performance. |
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