8:00 AM-9:00 AM
Chair: John A. Burns, Virginia Polytechnic Institute and State University
Room: Salon D
In this talk the speaker will present a new geometric duality between control and observation, with application to the design of robust linear controllers. Specifically, he will compare the problem of robust control design via Nevanlinna-Pick interpolation with the problem of analyzing the dynamics of fast algorithms for Kalman filtering. The speaker will show that both problems define, in a natural way, foliations on the space of positive real functions. Moreover, he will sketch a proof of the fact that these foliations are indeed complimentary. From this theorem, a number of interesting corollaries follow, with application to robust controller design and to problems in speech synthesis.
Christopher I. Byrnes
Department of Engineering and Applied Sciences, Washington University
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