Dissipativity enforcement of linear discrete-time systems via LMI-based optimization

Author

Xin Du ; Chao Wang ; Xunlin Zhu ; Yan Peng

Author_Institution

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

fYear

2013

fDate

25-27 May 2013

Firstpage

3329

Lastpage

3334

Abstract

This paper introduces a new LMI-based approach to dissipativity enforcement for finite frequency linear discrete-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

H^∞ control; discrete time systems; linear matrix inequalities; linear systems; optimisation; GKYP lemma; LMI-based optimization; conventional entire-frequency H_∞ approximation performance specification; dissipativity enforcement problem; finite frequency linear discrete-time system; finite-frequency H_∞ norm; generalized KYP lemma; linear matrix inequalities; Approximation methods; Discrete-time systems; Educational institutions; Hafnium; Linear matrix inequalities; Solid modeling; Symmetric matrices; Dissipativity enforcement; LMI; discrete-time system; finite frequency;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561522

Filename

6561522