Robust stability test for state-space models with structured uncertainty

Author

Xiao, Yang

Author_Institution

Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China

Volume

1

fYear

2000

fDate

2000

Firstpage

421

Abstract

We have developed a two-dimensional (2-D) face test to determine the stability of a nominally stable linear state-space model being subjected to real structured perturbations. The system matrices are assumed to depend linearly on set of interval parameters. Since the system matrix family of the uncertain systems belongs to a kind of polytopes of matrices, we can apply a 2-D face test, which is necessary and sufficient condition for the robust Hurwitz or Schur stability for the uncertain matrices. Examples are given to verify the 2-D robust stability test to be correct

Keywords

Kalman filters; adaptive systems; autoregressive moving average processes; matrix algebra; robust control; stability; state-space methods; uncertain systems; 2D face test; ARMA modelling; Hurwitz stability; Schur stability; interval parameters; linear state-space model; real structured perturbations; robust stability test; state-space models; structured uncertainty; system matrices; two-dimensional face test; uncertain systems; Eigenvalues and eigenfunctions; Electronic mail; Information science; Polynomials; Robust stability; Sufficient conditions; System testing; Two dimensional displays; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2000. ICECS 2000. The 7th IEEE International Conference on

Conference_Location

Jounieh

Print_ISBN

0-7803-6542-9

Type

conf

DOI

10.1109/ICECS.2000.911570

Filename

911570