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

fYear

2009

Firstpage

636

Lastpage

641

Abstract

This paper deals with the problem of H_infin norm computation for general symmetric systems and descriptor symmetric systems. The computation of H_infin 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

H^infin control; iterative methods; state-space methods; BRL; GBRL; H_infin 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);

fLanguage

English

Publisher

ieee

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

Type

conf

Filename

5276189