Auditory feedback is instrumental in the online control of speech, allowing speakers to compare their self-produced speech signal with a desired auditory target and correct for errors. However, there is little account of the representation of "target" and "error": does error depend purely on acoustic distance from a target, or is error enhanced by phoneme category changes? Here, we show an effe...

a new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. we use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. then, we linearized this identified model at each sampling time to have an approximate linear time varying system. in order to stabilize...

We consider a problem of stabilization of the linearized Schrödinger equation using boundary actuation and measurements. We propose two different control designs. First, a simple proportional collocated boundary controller is shown to exponentially stabilize the system. However, the decay rate of the closed-loop system cannot be prescribed. The second, full-state feedback boundary control desig...

In this paper, we consider the stabilization of steady state solutions to Navier-Stokes equations by boundary feedback control. The feedback control is determined by solving a linear quadratic regulator problem associated with the linearized Navier-Stokes equations. The control is effected through suction and blowing at the boundary. We show that the linear feedback control provides global expo...

Abstract: We consider a feedback control problem of first-order coupled hyperbolic partial integrodifferential equations with distributed and boundary inputs. As the distributed inputs to the system, the output feedback control is first applied under zero boundary inputs. Then, we apply a backstepping method to the design of the boundary inputs. Our main result shows that, for any initial data ...

This note is devoted to stabilizing a coupled PDE–ODE system with interaction at the interface. First, a state feedback boundary controller is designed, and the system is transformed into an exponentially stable PDE–ODE cascadewith an invertible integral transformation,where PDE backstepping is employed. Moreover, the solution to the resulting closed-loop system is derived explicitly. Second, a...

The aim of this work is to design an explicit finite dimensional boundary feedback controller for stabilizing the equilibrium solutions to Navier-Stokes equations on a bounded and open domain in R, under the assumption that the unstable eigenvalues of the Stokes-Oseen operator are semisimple. The form of the stabilizing feedback is related to that one in [V. Barbu, 2012, [1]]. In comparison to ...

Boundary feedback control for a coupled nonlinear PDE-ODE system (in the two and three dimensional cases) is studied. Particular focus is put on the monodomain equations arising in the context of cardiac electrophysiology. Neumann as well as Dirichlet based boundary control laws are obtained by an algebraic operator Riccati equation associated with the linearized system. Local exponential stabi...