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Informal Systems Seminar (ISS)

Boundary Control Techniques for Partial Differential Equations, Inspired by Stabilization of Flexible Wings in Aircraft

Aditya Paranjape
Department of Mechanical Engineering McGill University

October 10, 2014 at  10:30 AM
McConnell Engineering Room 437


In this talk, I will present two new control techniques developed for systems described by partial differential equations. The development was driven largely by the problem of controlling the deformation of flexible wings in aircraft. The first technique relies on the existence of finite dimensional input-output maps. The stabilization of the finite dimensional input-output map is accompanied by an expansion of the stable operating envelope of the original infinite dimensional system, and bounds on the growth of the stable envelope can be derived as well. The second technique is a more generic perturbation observer-based adaptive approach which is applicable to semilinear systems. In a purely finite dimensional setting, it reduces to the well-known L1 adaptive control architecture. Both techniques have been verified using numerical simulation. The second approach has been demonstrated in experiments as well.


Aditya Paranjape received the degrees of B.Tech and M.Tech in Aerospace Engineering from the Indian Institute of Technology (IIT) Bombay in 2007, and a PhD in Aerospace Engineering from the University of Illinois at Urbana-Champaign in 2011. He worked as a post-doc at UIUC before joining Mechanical Engineering at McGill in January 2014. His research interests are centered around the application of techniques in nonlinear dynamics and control to problems in flight stability and control.

Everyone is welcome.