6 papers
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…
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…
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…
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 --…