Model reduction by moment matching at isolated singularities for linear systems: a complex analytic approach. Issue 1 (July 2017)

• Record Type: Journal Article
• Authors: Padoan, Alberto; Astolfi, Alessandro
• Is Part Of: IFAC-PapersOnLine. Volume 50:Issue 1(2017)
• Page Start: 6350
• Page End: 6354
• Publication Date: 2017-07
• Subjects: Linear systems -- model reduction; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2017.08.1017
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: The model reduction problem by moment matching for continuous-time, single-input, single-output, linear, time-invariant systems is studied at isolated singularities (in particular, at poles). The notion of moment at a pole of the transfer function is defined. Exploiting this notion a one-to-one correspondence between moments at a pole of the transfer function and the "limit solution" of a family of Sylvester equations is established. Finally, a family of reduced order models is defined. A simple example illustrates the theory.