Seminario "Macías - Segovia"

Approximating Nonlinear Feedback Controls for Polynomial Systems

Charla a cargo del Ph.D. Borggaard

Viernes 1 de septiembre, 15:30 horas

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Jeff Borggaard

Resumen: the calculation of optimal feedback controllers for nonlinear systems remains elusive since
it requires the solution or approximation of the Hamilton-Jacobi-Bellman equations. By restricting our
attention to quadratic regulator problems and polynomial systems, we are able to calculate polynomial
feedback laws for systems with hundreds of states. We describe our approximation algorithm, which
relies on introducing a Kronecker product structure and provide examples for discretized PDEs such
as Burgers, Chafee-Infante, Kuramoto-Sivashinsky, etc. where nonlinear feedback performs up to
40 % better than a frequently used linear feedback strategy.

Bio: Jeff Borggaard received his B.S and MS in Mechanical Engineering and the MS in Applied
Mathematics from Worcester Polytechnic Institute, USA, in 1986 and 1988 and 1990, respectively.
He received a PhD in Mathematics in 1995 from Virginia Tech. He was and NSF Post-Doctoral
Associate at Cornell University, Ithaca, NY in 1997-1998, a Visiting Scientist at the Air Force Research Laboratory, Dayton, OH. Currently he is a Full Professor at the Department of Mathematics
at Virginia Tech, Blacksburg, Virginia, USA. Jeff has been an invited speaker in conferences in USA,
Canada, Italy, South Africa, France and all over the world. He is the author of numerous publications
in his area of expertise. His main area of interest is fluid flow control which requires expertise in:
Applied and Computational Mathematics, Computational Fluid Dynamics, Computational Statistics,
Control Theory, Dynamical Systems, Numerical Analysis, Partial Differential Equations, Optimization, Reduced-Order Modeling, Scientific Computing and Visualization, Sensitivity Analysis, and
Uncertainty Quantification.
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Modo de conexión: la charla sera presencial y transmitida por ZOOM. Los datos de conexión son:
ID de reunión:  811 4869 1013
Código de acceso:  aA3gfJ0$5s