Title :
Finite frequency approaches to H∞ model reduction for continuous-time state delayed systems
Author :
Du, Xin ; Liu, Fuwei ; Zhu, Xunlin ; Chao, Wang
Author_Institution :
Sch. of Mechatron. Eng. & Autom., Shanghai Univ., Shanghai, China
Abstract :
This paper discusses the H∞ model reduction problem for linear continuous-time systems with pure state delay. 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 model reduction problems for systems with apriori known operating frequency range. Based on the recently developed TDS GKYP (time delay system Generalized Kalman-Yakubovich-Popov) lemma, sufficient conditions for the finite frequency H∞ model reduction problems are derived and expressed in terms of solutions to a set of linear matrix inequalities (LMIs). Numerical example was included for illustration.
Keywords :
approximation theory; continuous time systems; delays; linear matrix inequalities; H∞ approximation performance specification; H∞ model reduction; LMI; TDS GKYP; continuous time state delayed systems; finite frequency H∞ model reduction problems; finite frequency approaches; finite-frequency H∞ norm; linear matrix inequalities; suitable index; time delay system Generalized Kalman-Yakubovich-Popov; Approximation methods; Argon; Delay; Delay systems; Reduced order systems; Symmetric matrices; Time frequency analysis; LMI; continuous-time; finite frequency; model reduction; state delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244071
