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Artículo
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
(Institute of Electrical and Electronics Engineers (IEEE), 2016)
Research on stabilization of coupled hyperbolic PDEs has been dominated by the focus on pairs of counter-convecting (“heterodirectional”) transport PDEs with distributed local coupling and with controls at one or both ...
Artículo
A closed-form feedback controller for stabilization of magnetohydrodynamic channel flow
(Institute of Electrical and Electronics Engineers (IEEE), 2009)
We present a PDE boundary controller that stabilizes the velocity, pressure, and electromagnetic fields in a magnetohydrodynamic (MHD) channel flow, also known as Hartmann flow, a benchmark model for applications such as ...
Ponencia
Local exponential H2 stabilization of a 2x2 quasilinear hyperbolic system using backstepping
(Institute of Electrical and Electronics Engineers (IEEE), 2011)
We consider the problem of boundary stabilization for a quasilinear 2×2 system of first-order hyperbolic PDEs. We design a full-state feedback control law, with actuation on only one end of the domain, and prove local H 2 ...
Ponencia
A Backstepping-based observer for estimation of thermoacoustic oscillations in a Rijke tube with in-domain measurements
(Elsevier, 2020)
This paper presents an observer design for estimation of thermoacoustic instabilities in a Rijke tube. To study this problem, we consider that the acoustic dynamics is represented by the wave equation with a point source ...
Ponencia
Backstepping stabilization of an underactuated 3 X 3 linear hyperbolic system of fluid flow transport equations
(Institute of Electrical and Electronics Engineers (IEEE), 2012)
We investigate the boundary stabilization of a particular subset of 3×3 linear hyperbolic systems with varying coefficients on a bounded domain. The system is underactuated since only one of the three hyperbolic PDEs is ...
Ponencia
Trajectory tracking for fixed-wing UAV using model predictive control and adaptive backstepping
(Elsevier, 2015)
This paper presents a two layer guidance and control system design for fixed-wing unmanned aerial vehicles (UAV). On the top level, the guidance system makes the airplane follows precomputed references using a novel iterative ...
Artículo
Boundary Control of Coupled Reaction-Advection-Diffusion Systems with Spatially-Varying Coefficients
(Institute of Electrical and Electronics Engineers (IEEE), 2016)
Recently, the problem of boundary stabilization for unstable linear constant-coefficient coupled reaction-diffusion systems was solved by means of the backstepping method. The extension of this result to systems with ...
Ponencia
Backstepping control of a hyperbolic PDE system with zero characteristic speed
(Elsevier, 2022)
In this paper, we study the single-input boundary feedback stabilization of 3 × 3 linear hyperbolic partial differential equations (PDEs) with two counterconvecting PDEs and the third one with zero characteristic speed. ...
Ponencia
Control of the longitudinal flight dynamics of an UAV using adaptive backstepping
(Elsevier, 2011)
An adaptive backstepping approach is used to control the longitudinal dynamics of an Unmanned Air Vehicle (UAV). The nonlinear controller designed makes the system follow references in the aerodynamic velocity and flight ...
Ponencia
Bilateral boundary control of one-dimensional first- and second-order PDEs using infinite-dimensional backstepping
(Institute of Electrical and Electronics Engineers (IEEE), 2016)
This paper develops an extension of infinite-dimensional backstepping method for parabolic and hyperbolic systems in one spatial dimension with two actuators. Typically, PDE backstepping is applied in 1-D domains with an ...