"CANCELED: New Parameterizations and Optimal Topologies for Distributed Control"

Nuno Martins, Assistant Professor, Department of Electrical and Computer Engineering, University of Maryland

March 11th (Friday), 3:00pm
This Event Has Been Canceled.

In this talk, I will describe new results on the design of decentralized controllers that hinge on recently discovered algebraic methods, such as quadratic invariance (Rotkowitz) and the coordinate –free parameterization (Mori). In particular, I will discuss three interrelated results:

(1) A systematic method to construct the sparsest graph of interconnections among sub-controllers that leads to a distributed feedback system whose information pattern is nested. This is relevant as many norm-optimal sparsity-constrained controllers can be obtained via convex methods in the presence of nested information patterns.

(2) A new parametrization of all stabilizing controllers that leads to convex norm-optimal formulations that satisfy pre-selected sparsity constraints on the controller, subject to quadratic invariance. In contrast with prior work, this parametrization does not rely on doubly-coprime factorizations of the plant, which may not be viable for the non-strongly stabilizable case.

(3) A method to obtain central controllers subject to quadratic invariance constraints based on new factorization methods that account for sparsity constraints on the controller. I will also discuss ongoing work on the use of additive numerically-efficient factorizations to design sparsity-constrained controllers in the presence of delays.

*This is joint work with Serban Sabau (UMD) and Michael Rotkowitz (U. Melb)

About Nuno Martins, Assistant Professor:

Nuno C. Martins received the MS. degree in electrical engineering from I.S.T., Portugal, in 1997, and the Ph.D. degree in Electrical Engineering and Computer Science with a minor in Mathematics from Massachusetts Institute of Technology (MIT), Cambridge, in 2004. He has also concluded a Financial Technology Option program at Sloan School of Management (MIT) in 2004. He is currently Assistant Professor at the Department of Electrical and Computer Engineering, University of Maryland, College Park, where he is also affiliated with the Institute for Systems Research and the Center for Applied Electromagnetics. He received a National Science Foundation CAREER award in 2007, the 2006 American Automatic Control Council O. Hugo Schuck Award, the 2010 Outstanding ISR Faculty award and the IEEE CSS George Axelby Award in 2010. He is also a member of the editorial board of Systems and Control Letters (Elsevier) and of the IEEE Control Systems Society Conference Editorial Board.

Hosted by: CCDC Seminar