Publications

Publications

Book Chapters

1. M. Krstic, J. Cochran, and R. Vazquez, "Backstepping Controllers for Stabilization of Turbulent Flow PDEs," in P. Ioannou and I. Pitsilides (Eds.), Modeling and Control of Complex Systems, CRC Press, to appear, 2007.
2. R. Vazquez, E. Trelat, J.-M. Coron, "Fast Tracking of Poiseuille Trajectories in Navier-Stokes 2-D Channel Flow," F. Lamnabhi-Lagarrigue, S. Laghrouche, A. Loria and E. Panteley (Eds.), Taming Heterogeneity and Complexity of Networked Embedded Systems, ISTE Ltd., London, UK, to appear, 2007.

Journal Papers

1. Rafael Vazquez and M. Krstic, "Explicit Integral Operator Feedback for Local Stabilization of Nonlinear Thermal Convection Loop PDEs," System and Control Letters, vol. 55, pp. 624-632, 2006.
2. F. J. Rubio-Sierra, R. Vazquez and R. W. Stark, "Transfer function analysis of the micro cantilever used in atomic force microscopy," IEEE Transactions on Nanotechnology, vol. 5, pp. 692-700, 2006.
3. Rafael Vazquez and M. Krstic, "A closed-form feedback controller for stabilization of the linearized 2D Navier-Stokes Poiseuille flow," under consideration, 2007.
4. Rafael Vazquez, E. Schuster and M. Krstic, "Magnetohydrodynamic state estimation with boundary sensors," under consideration, 2007.
5. Rafael Vazquez and M. Krstic, "Boundary observer for output-feedback stabilization of thermal convection loop," under consideration, 2007.
6. C. Xu, E. Schuster, R. Vazquez and M. Krstic, "Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control," under consideration, 2007.
7. Rafael Vazquez and M. Krstic, "Control of 1-D parabolic PDEs with Volterra nonlinearities - Part I: Design," under consideration, 2007.
8. Rafael Vazquez and M. Krstic, "Control of 1-D parabolic PDEs with Volterra nonlinearities - Part II: Analysis," under consideration, 2007.
9. R. Vazquez, F. J. Rubio-Sierra and R. W. Stark, "Multimodal analysis of force spectroscopy based on a transfer function study of micro-cantilevers," under consideration, 2007.
10. R. Vazquez, E. Trelat and J.-M. Coron, "Control for fast and stable laminar-to-high-Reynolds-numbers transfer in a 2D Navier-Stokes channel flow," under consideration, 2007.

Refereed Conference Papers

1. R. Vazquez, and M. Krstic, "Backstepping Boundary Control of Magnetohydrodynamic Channel Flow," submitted, 7th IFAC Symposium on Nonlinear Control Systems (NOLCOS), Pretoria, South Africa, 2007.
2. R. Vazquez, and M. Krstic, "Boundary control laws for parabolic PDEs with Volterra nonlinearities. Part I: Design," submitted, 7th IFAC Symposium on Nonlinear Control Systems (NOLCOS, Pretoria, South Africa, 2007.
3. R. Vazquez, and M. Krstic, "Boundary control laws for parabolic PDEs with Volterra nonlinearities. Part II: Examples," submitted, 7th IFAC Symposium on Nonlinear Control Systems (NOLCOS, Pretoria, South Africa, 2007.
4. R. Vazquez, and M. Krstic, "Boundary control laws for parabolic PDEs with Volterra nonlinearities. Part III: Analysis," submitted, 7th IFAC Symposium on Nonlinear Control Systems (NOLCOS, Pretoria, South Africa, 2007.
5. R. Vazquez, E. Schuster, and M. Krstic, "A closed-form feedback controller for stabilization of magnetohydrodynamic channel flow," accepted, 2007 European Control Conference (ECC), Kos, Greece, 2007.
6. R. Vazquez, and M. Krstic, "Boundary control of nonlinear PDEs by Volterra feedback linearization," accepted, 2007 European Control Conference (ECC), Kos, Greece, 2007.
7. R. Vazquez, and M. Krstic, "Explicit output feedback stabilization of a thermal convection loop by continuous backstepping and singular perturbations," accepted, 26th American Control Conference (ACC), New York, USA, 2007.
8. C. Xu, E. Schuster, R. Vazquez, and M. Krstic, "Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control," accepted, 26th American Control Conference (ACC), New York, USA, 2007.
9. R. Vazquez, J. Cochran, O. M. Aamo, and M. Krstic, "Control of channel flow turbulence, vortex shedding, and thermal convection by backstepping boundary control," accepted, 26th American Control Conference (ACC), New York, USA, 2007.
10. J. Cochran, Rafael Vazquez, and M. Krstic, "Backstepping Boundary Control of Navier-Stokes Channel Flow: Explicit Gain Formulae in 3D," 45th Conference on Decision and Control (CDC), San Diego, USA, December 2006.
11. Rafael Vazquez, E. Schuster and M. Krstic, "A Closed-Form Observer for the 3D Inductionless MHD and Navier-Stokes Channel Flow," 45th Conference on Decision and Control (CDC), San Diego, USA, December 2006.
12. M. Krstic, A. Smyshlyaev, and R. Vazquez, "Boundary control of PDEs and applications to turbulent flows and flexible structures," 25th Chinese Control Conference, Harbin, China, 2006.
13. Rafael Vazquez, E. Schuster and M. Krstic, "A Closed Form Observer for the 3D Inductionless Hartmann Flow," Conference on Active Flow Control, Berlin, Germany, 2006.
14. Rafael Vazquez, E. Trelat and J.-M. Coron, "Fast Tracking of Poiseuille Trajectories in Navier Stokes 2D Channel Flow," Joint CTS-HYCON workshop, Paris, France, July 2006.
15. Rafael Vazquez and M. Krstic, "Higher Order Stability Properties of a 2D Navier Stokes System with an Explicit Boundary Controller," 25th American Control Conference (ACC), Minneapolis, June, 2006.
16. Rafael Vazquez, J.M. Coron and E. Trelat, "Stable Poiseuille Flow Transfer for a Navier-Stokes System," 25th American Control Conference (ACC), Minneapolis, June, 2006.
17. J. Cochran, Rafael Vazquez and M. Krstic, "Backstepping Boundary Control of Navier-Stokes Channel Flow: A 3D Extension, " 25th American Control Conference (ACC), Minneapolis, June, 2006.
18. Rafael Vazquez, J.R. Rubio-Sierra and R. Stark, "Transfer Function Analysis of a Surface Coupled Atomic Force Microscope Cantilever System," 25th American Control Conference (ACC), Minneapolis, June, 2006.
19. M. Krstic, J. Cochran, and R. Vazquez, "Decoupling and stabilizing Orr-Sommerfield and Squire systems by boundary control," 3rd AIAA Flow Control Conference, 2006.
20. M. Krstic, R. Vazquez, A. Siranosian, and M. Bement, "Sensing schemes for state estimation in turbulent flows and flexible structures," Proceedings of SPIE, Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, Paper Number: 6174-28, 2006.
21. Rafael Vazquez and M. Krstic, "A Closed-Form Feedback Controller for Stabilization of Linearized Navier-Stokes Equations: The 2D Poisseuille Flow," to appear, 44th IEEE Conference on Decision and Control (CDC), Sevilla, December, 2005.
22. Rafael Vazquez and M. Krstic, "A Closed-Form Observer for the Channel Flow Navier-Stokes System," to appear, 44th IEEE Conference on Decision and Control (CDC), Sevilla, December, 2005.
23. F.J. Rubio-Sierra, Rafael Vazquez and R. Stark, "Transfer Function Analysis of Atomic Force Microscope Cantilevers," to appear, IMECE2005, Orlando, Florida, 2005.
24. Rafael Vazquez and M. Krstic, "Thermal Convection Loop Control by Continuous Backstepping and Singular Perturbations," Proceedings of the 24th American Control Conference (ACC), Portland, June, 2005.
25. Rafael Vazquez and M. Krstic, "Explicit Feedback Control for a Thermal Convection Loop," Proceedings of the Third M.I.T. Conference on Computational Fluid and Solid Mechanics, June 14 - 17, 2005.
26. Rafael Vazquez and M. Krstic, "Volterra Boundary Control Laws for a Class of Nonlinear Parabolic Partial Differential Equations," in Proceeding of the Sixth IFAC Symposium on Nonlinear Control Systems (NOLCOS 2004), Stuttgart, Germany, September 1-3, 2004.