63 citations · 192 across the 17 of their papers we have counts for
21 papers
Event-Based Impulsive Control for Spacecraft Rendezvous Hovering Phases
Julio C. Sanchez, Christophe Louembet, Francisco Gavilan +1
This work presents an event-triggered controller for spacecraft rendezvous hovering phases. The goal is to maintain the chaser within a bounded region with respect to the target. T…
Chance-constrained Model Predictive Control for Near Rectilinear Halo Orbit spacecraft rendezvous
Julio C. Sanchez, Francisco Gavilan, Rafael Vazquez
This work presents a robust Model Predictive Controller (MPC) to solve the problem of spacecraft rendezvous in the context of the restricted three-body problem (R3BP) as will be re…
A flatness-based predictive controller for six-degrees of freedom spacecraft rendezvous
Julio C. Sanchez, Francisco Gavilan, Rafael Vazquez +1
This work presents a closed-loop guidance algorithm for six-degrees of freedom spacecraft rendezvous with a passive target flying in an eccentric orbit. The main assumption is that…
Backstepping for Partial Differential Equations:A Survey
Rafael Vazquez, Jean Auriol, Federico Bribiesca-Argomedo +1
Systems modeled by partial differential equations (PDEs) are at least as ubiquitous as systems that are by nature finite-dimensional and modeled by ordinary differential equations…
Towards a MATLAB Toolbox to compute backstepping kernels using the power series method
Xin Lin, Rafael Vazquez, Miroslav Krstic
In this paper, we extend our previous work on the power series method for computing backstepping kernels. Our first contribution is the development of initial steps towards a MATLA…
Gain-Only Neural Operators for PDE Backstepping
Rafael Vazquez, Miroslav Krstic
In this work we advance the recently-introduced deep learning-powered approach to PDE backstepping control by proposing a method that approximates only the control gain function --…
Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation
Maxence Lamarque, Luke Bhan, Rafael Vazquez +1
To stabilize PDE models, control laws require space-dependent functional gains mapped by nonlinear operators from the PDE functional coefficients. When a PDE is nonlinear and its "…
Block Backstepping for Isotachic Hyperbolic PDEs and Multilayer Timoshenko Beams
Guangwei Chen, Rafael Vazquez, Junfei Qiao +1
In this paper, we investigate the rapid stabilization of N-layer Timoshenko composite beams with anti-damping and anti-stiffness at the uncontrolled boundaries. The problem of stab…
Backstepping Control of a Hyperbolic PDE System with Zero Characteristic Speed States
Gustavo A. de Andrade, Rafael Vazquez, Iasson Karafyllis +1
While for coupled hyperbolic PDEs of first order there now exist numerous PDE backstepping designs, systems with zero speed, i.e., without convection but involving infinite-dimensi…
Output Feedback Control of Radially-Dependent Reaction-Diffusion PDEs on Balls of Arbitrary Dimensions
Rafael Vazquez, Jing Zhang, Jie Qi +1
Recently, the problem of boundary stabilization and estimation for unstable linear constant-coefficient reaction-diffusion equation on n-balls (in particular, disks and spheres) ha…
Rapid Stabilization of Timoshenko Beam by PDE Backstepping
Guangwei Chen, Rafael Vazquez, Miroslav Krstic
In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We intro…
Bilateral Boundary Control Design for a Cascaded Diffusion-ODE System Coupled at an Arbitrary Interior Point
Stephen Chen, Rafael Vazquez, Miroslav Krstic
We present a methodology for designing bilateral boundary controllers for a class of systems consisting of a coupled diffusion equation with an unstable ODE at an arbitrary interio…
Folding Bilateral Backstepping Output-Feedback Control Design For an Unstable Parabolic PDE
Stephen Chen, Rafael Vazquez, Miroslav Krstic
We present a novel methodology for designing output-feedback backstepping boundary controllers for an unstable 1-D diffusion-reaction partial differential equation with spatially-v…
Nonlinear Bilateral Output-Feedback Control for a Class of Viscous Hamilton-Jacobi PDEs
Nikolaos Bekiaris-Liberis, Rafael Vazquez
We tackle the boundary control and estimation problems for a class of viscous Hamilton-Jacobi PDEs, considering bilateral actuation and sensing, i.e., at the two boundaries of a 1-…
Boundary Control of Coupled Reaction-Advection-Diffusion Systems with Spatially-Varying Coefficients
Rafael Vazquez, Miroslav Krstic
Recently, the problem of boundary stabilization for unstable linear constant-coefficient coupled reaction-diffusion systems was solved by means of the backstepping method. The exte…
Bilateral Boundary Control of One-Dimensional First- and Second-Order PDEs using Infinite-Dimensional Backstepping
Rafael Vazquez, Miroslav Krstic
This paper develops an extension of infinite-dimensional backstepping method for parabolic and hyperbolic systems in one spatial dimension with two actuators. Typically, PDE backst…
Boundary control of a singular reaction-diffusion equation on a disk
Rafael Vazquez, Miroslav Krstic
Recently, the problem of boundary stabilization for unstable linear constant-coefficient reaction-diffusion equation on N-balls has been solved by means of the backstepping method.…
Boundary exponential stabilization of 1-D inhomogeneous quasilinear hyperbolic systems
Long Hu, Rafael Vazquez, Florent Di Meglio +1
This paper deals with the problem of boundary stabilization of first-order n\times n inhomogeneous quasilinear hyperbolic systems. A backstepping method is developed. The main resu…
Boundary Control of Reaction-Diffusion PDEs on Balls in Spaces of Arbitrary Dimensions
Rafael Vazquez, Miroslav Krstic
An explicit output-feedback boundary feedback law is introduced that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on an -ball (which in 2-D red…
Pulse-Width Predictive Control for LTV Systems with Application to Spacecraft Rendezvous
Rafael Vazquez, Francisco Gavilan, Eduardo F. Camacho
This work presents a model predictive controller (MPC) that is able to handle linear time-varying (LTV) plants with PWM control. The MPC is based on a planner that employs a PAM or…
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
Long Hu, Florent Di Meglio, Rafael Vazquez +1
Research on stabilization of coupled hyperbolic PDEs has been dominated by the focus on pairs of counter-convecting ("heterodirectional") transport PDEs with distributed local coup…