Journal ArticleDOI
A Dissipative Feedback Control Synthesis for Systems Arising in Fluid Dynamics
Kazufumi Ito,Sungkwon Kang +1 more
TLDR
In this paper, a dissipative feedback control synthesis is constructed to regulate the systems arising in fluid dynamics by utilizing nonlinear dynamic programming techniques, and the control law is designed for driving the system to a prescribed equilibrium state and enhancing the energy dissipation effects of the dynamic system.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.read more
Citations
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Journal ArticleDOI
On global stabilization of Burgers’ equation by boundary control
TL;DR: In this article, the authors derived nonlinear boundary control laws that achieve global asymptotic stability for the Burgers equation, using both Neumann and Dirichlet boundary control.
Journal ArticleDOI
Adaptive control of Burgers' equation with unknown viscosity
Weijiu Liu,Miroslav Krstic +1 more
TL;DR: In this paper, the authors propose a fortified boundary control law and an adaptation law for Burgers' equation with unknown viscosity, where no a priori knowledge of a lower bound on visosity is needed, and prove that the closed-loop system, including the parameter estimator as a dynamic component, is globally H1 stable and well posed.
Journal ArticleDOI
Backstepping boundary control of Burgers' equation with actuator dynamics
Weijiu Liu,Miroslav Krstic +1 more
TL;DR: In this paper, a backstepping boundary control law for Burgers' equation with actuator dynamics is proposed, and the closed-loop system, including the boundary dynamics, is globally H3 stable and well posed.
Optimal and instantaneous control of the instationary Navier-Stokes equations
TL;DR: Danksagung et al. as mentioned in this paper presented a review of the active flow control literature and proposed a general optimal control problem to minimize drag, increase mixing, reduce turbulent kinetic energy and so forth in a channel.
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