D-stability analysis of polynomial matrices and polynomial matrix polytopes by using LMI approach

Author

Feng, Wang ; Pan, Xiong ; Jian, Chen ; Li, Shi ; XiBin, Cao

Author_Institution

Res. Center of Satellite Technol., Harbin Inst. of Technol., Harbin, China

fYear

2012

fDate

18-20 July 2012

Firstpage

737

Lastpage

742

Abstract

New LMI conditions are present to analyze the stability of polynomial matrices and polynomial matrix polytopes in an intersecting region D. During the analysis, the intersecting region D is described by disjoint regions and the problem to analyze the stability of polynomial matrices and polytopes in intersection D is transformed to analyze the stability in each disjoint D-region respectively. With this strategy, the stability of polynomial matrices and polytopes in an arbitrary D-region is checked successfully. To solve LMI problem in Matlab, the real-valued LMI conditions of all complex-valued LMI conditions are developed as well. Finally, numerical examples are provided to illustrate the effects of these new conditions.

Keywords

linear matrix inequalities; numerical stability; polynomial matrices; D-stability analysis; Matlab; arbitrary D-region; complex-valued LMI conditions; disjoint D-region; intersecting region; linear matrix inequality; polynomial matrices; polynomial matrix polytopes; real-valued LMI conditions; Linear matrix inequalities; MATLAB; Numerical stability; Polynomials; Robust stability; Robustness; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Electronics and Applications (ICIEA), 2012 7th IEEE Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4577-2118-2

Type

conf

DOI

10.1109/ICIEA.2012.6360822

Filename

6360822