Title :
H∞ norm computation for descriptor symmetric systems
Author :
Zhang, Guoshan ; Wang, Shuping ; Liu, Wanquan ; Zuo, Zhiqiang
Author_Institution :
Sch. of Electr. Eng. & Autom., Tianjin Univ., Tianjin, China
Abstract :
This paper deals with the problem of Hinfin norm computation for general symmetric systems and descriptor symmetric systems. The computation of Hinfin norm for state-space symmetric systems is extended to descriptor symmetric systems. An explicit expression is given based on the bound real lemma (BRL), and the generalized bound real lemma (GBRL). The results have obvious computational advantages, especially for large scale descriptor symmetric systems. Additionally, two numerical examples are presented to demonstrate the feasibility and effectiveness of the results.
Keywords :
Hinfin control; iterative methods; state-space methods; BRL; GBRL; Hinfin norm computation; bound real lemma; descriptor symmetric systems; generalized bound real lemma; iterative solution; numerical example; state-space symmetric system; Chemicals; Control system analysis; Control system synthesis; Control systems; Elasticity; Large-scale systems; Output feedback; Power engineering and energy; Symmetric matrices; Viscosity; Descriptor Symmetric Systems; H∞ Norm Computation; the Bound Real Lemma(BRL); the Generalized Bound Real Lemma(GBRL);
Conference_Titel :
Asian Control Conference, 2009. ASCC 2009. 7th
Conference_Location :
Hong Kong
Print_ISBN :
978-89-956056-2-2
Electronic_ISBN :
978-89-956056-9-1
