VTechWorks staff will be away for the Thanksgiving holiday beginning at noon on Wednesday, November 27, through Friday, November 29. We will resume normal operations on Monday, December 2. Thank you for your patience.
 

A Homotopy Algorithm for the Combined H-squared/H-to Infinity Model Reduction Problem

Simple item page
dc.contributor.authorYuzhen, Geen
dc.contributor.authorCollins, Emmanuel G.en
dc.contributor.authorWatson, Layne T.en
dc.contributor.authorBernstein, Dennis S.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:02Zen
dc.date.available2013-06-19T14:36:02Zen
dc.date.issued1993-05-01en
dc.description.abstractThe problem of finding a reduced order model, optimal in the H-squared sense, to a given system model is a fundamental one in control system analysis and design. The addition of a H-to infinity constraint to the H-squared optimal model reduction problem results in a more practical yet computationally more difficult problem. Without the global convergence of probability-one homotopy methods the combined H-squared/H-to infinity model reduction problem is difficult to solve. Several approaches based on homotoppy methods have been proposed. The issues are the number of degrees of freedom, the well posedness of the finite dimensional optimization problem, and the numerical robustness of the resulting homotopy algorithm. Homotopy algorithms based on two formulations - input normal form; Ly, Bryson, and Cannon's 2 x 2 block parametrization - are developed and compared here.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000357/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000357/01/TR-93-15.pdfen
dc.identifier.trnumberTR-93-15en
dc.identifier.urihttp://hdl.handle.net/10919/19821en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofHistorical Collection(Till Dec 2001)en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleA Homotopy Algorithm for the Combined H-squared/H-to Infinity Model Reduction Problemen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
TR-93-15.pdf
Size:
579.76 KB
Format:
Adobe Portable Document Format
Download

Collections

Computer Science Technical Reports