A necessary and sufficient condition for robust stability analysis of continuous-time descriptor polytopic systems

Author

Gao, Xiangyu ; Zhang, Lina

Author_Institution

Sch. of Math. Sci., Heilongjiang Univ., Harbin, China

fYear

2012

fDate

23-25 May 2012

Firstpage

1127

Lastpage

1132

Abstract

This paper investigates robust stability of continuous-time descriptor polytopic systems (CTDPSs). A necessary and sufficient condition for robust stability is first given as parameterized linear matrix inequalities (LMIs) whose variable matrices are homogeneous polynomial matrices of the multi-parameters. Furthermore, it is shown that the parameterized LMIs is reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.

Keywords

continuous time systems; linear matrix inequalities; robust control; CTDPS; continuous-time descriptor polytopic systems; finite-dimensional LMI; homogeneous polynomial matrices; parameter-independent LMI; parameterized linear matrix inequalities; robust stability analysis; Linear matrix inequalities; Lyapunov methods; MATLAB; Polynomials; Robust stability; Robustness; Vectors; Linear matrix inequality; descriptor polytopic systems; parameter-dependent Lyapunov function; robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2012 24th Chinese

Conference_Location

Taiyuan

Print_ISBN

978-1-4577-2073-4

Type

conf

DOI

10.1109/CCDC.2012.6244180

Filename

6244180