Mirkin, Leonid (Technion - IIT), Tadmor, Gilead (Northeastern Univ.)

FIR Solutions of H² Preview Tracking and Smoothing Problems Via a Reducion to Static Control in the Lifted Domain

Scheduled for presentation during the Regular Session "H2 and H-infinity Control II" (FrP01), Friday, July 28, 2006, 16:10−16:35, Room B2

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on April 25, 2024

Abstract

This paper studies continuous-time H² feedforward tracking and estimation problems with FIR (finite impulse response) solutions. Both causal and non-causal solutions are considered. It is shown that these problems can be treated as special cases of static problems in the lifted domain, which, in turn, can be solved in terms of a two-point boundary value (Hamilton-Jacobi) system. This results with a numerically stable fixed dimension closed-form solutions.