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We consider the problem of seeking the source of a scalar signal using an autonomous vehicle modeled as the nonholonomic unicycle. The vehicle does not have the capability of sensing its position or the position of the source but is capable of sensing the scalar signal originating from the source. The signal field is assumed to decay away from the position of the source but the vehicle does not have...
This tutorial paper presents backstepping boundary control designs for fluid systems. It starts with an introduction of an output-feedback controller for the problem of vortex shedding around a cylindrical bluff body in the flow. It is then followed by a presentation of stabilization of the thermal convection loop. Finally, the paper concludes with a control design for the turbulent channel flow.
In a companion ACC '06 paper we present a boundary control law, designed using the backstepping method, that stabilizes the 3D Navier-Stokes system linearized around the much studied Poiseuille flow profile. This control law employs three controllers that actuate solely along one boundary. The controller that acts in the wall normal direction prepares the system for the backstepping method, while...
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