Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561522
