A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics

Authors:
Kazufumi Ito;Sungkwon Kang
Affiliations:
-;-
Venue:
SIAM Journal on Control and Optimization
Year:
1994

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Abstract

A dissipative feedback control synthesis is constructed to regulate the systems arising in fluid dynamics. The feedback law is obtained by utilizing nonlinear dynamic programming techniques. The control law is designed for driving the system to a prescribed equilibrium state and enhancing the energy dissipation effects of the dynamical system. Two-dimensional Navier--Stokes equations and Burgers equation are used for numerical experiments to illustrate the effects of the feedback synthesis and the theoretical results.