Dissipativity enforcement for continuous-time systems over finite frequency ranges

Author

Xin Du ; Chao Wang ; Kun Tu

Author_Institution

Sch. of Mechatron. Eng. & Autom., Shanghai Univ., Shanghai, China

fYear

2013

fDate

26-28 July 2013

Firstpage

8728

Lastpage

8733

Abstract

This paper introduces a new LMI-based approach to dissipativity enforcement for finite frequency linear continuous-time system. Different from the conventional entire-frequency H_∞ approximation performance specification, finite-frequency H_∞ norm was adopted in this paper, which is a more suitable index to characterize the dissipativity enforcement problems for systems with apriori known operating frequency range.Based on the Generalized KYP (GKYP) Lemma, dissipativity enforcement problems are derived and expressed in terms of solutions to a set of linear matrix inequalities (LMIs).Numerical example was included for illustration.

Keywords

H² control; continuous time systems; linear matrix inequalities; linear systems; GKYP lemma; H infinity approximation performance specification; LMI based approach; dissipativity enforcement problems; finite frequency H infinity norm; finite frequency linear continuous time system; finite frequency ranges; generalized KYP; linear matrix inequalities; Approximation methods; Educational institutions; Frequency-domain analysis; Hafnium; Solid modeling; Symmetric matrices; Vectors; LMI; continuous-time system; dissipativity enforcement; finite frequency;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6640989