Boundary Control for Parabolic Partial Differential Equations and Turbulent Flows

Speaker: Miroslav KrsticUniversity of California, San DiegoAbstract: Classical methods for stabilization of PDEs require numerical solutions of operator Riccati equations. A new set of tools, based on infinite dimensional extensions of backstepping, and accessible to engineers with background not much beyond calculus, yields explicit formulae for boundary controllers for some classes of parabolic problems of practical interest. They employ integral transformations and boundary feedback to transform unstable PDEs into basic heat equations. This idea is similar to feedback linearization, where the starting system is nonlinear and unstable, whereas the target system is linear and stable. The new tools are particularly inspired by applications to fluid flows, either for turbulence suppression or for enhancement of fluid mixing in problems like combustion, and are implementable with MEMS/synthetic jet actuators and sensors. I will present designs for channels, pipes, jets, and bluff bodies, motivated by geometries in aerospace applications. Miroslav Krstic is Professor of Mechanical and Aerospace Egineering at University of California, San Diego.. He got his PhD in 1994 at University of California at Santa Barbara. Krstic is an IEEE Fellow and has received the NSF Career Award, the ONR Young Investigator Award, the Presidential PECASE Award, the George S. Axelby Outstanding Paper Award of IEEE Transactions on Automatic Control, and the O. Hugo Schuck Award for the best paper at American Control Conference. Krstic is a co-author of the books Nonlinear and Adaptive Control Design (Wiley, 1995), Stabilization of Nonlinear Uncertain Systems (Springer-Verlag, 1998), Flow Control by Feedback (Springer-Verlag, 2002), and Real Time Optimization by Extremum Seeking Control (Wiley, 2003). He has served as Associate Editor for the IEEE Transactions on Automatic Control, International Journal of Adaptive Control and Signal Processing, and Systems and Control Letters. Krstic is a Vice President for Technical Activities and a member of the Board of Governors of the IEEE Control Systems Society. Host: Petros Ioannou; ioannou@usc.edu

Location: Hedco Pertroleum and Chemical Engineering Building (HED) - CO AUDITORIUM

Audiences: Everyone Is Invited

Contact: Irina Strelnik