A control problem for Burgers' equation with bounded input/output |
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| Authors: | John A Burns Sungkwon Kang |
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| Institution: | (1) Department of Mathematics and Interdisciptinary Center for Applied Mathematics, Virginia Polytechnic Institute and State University, 24061 Blacksburg, Virginia, U.S.A. |
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| Abstract: | A stabilization problem for Burgers' equation is considered. Using linearization, various controllers are constructed which minimize certain weighted energy functionals. These controllers produce the desired degree of stability for the closed-loop nonlinear system. A numerical scheme for computing the feedback gain functional is developed and several numerical experiments are performed to illustrate the theoretical results. |
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| Keywords: | Burgers' equation stabilizability optimal controls approximations |
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