Title :
Robust stability test for state-space models with structured uncertainty
Author_Institution :
Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
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;
Conference_Titel :
Electronics, Circuits and Systems, 2000. ICECS 2000. The 7th IEEE International Conference on
Conference_Location :
Jounieh
Print_ISBN :
0-7803-6542-9
DOI :
10.1109/ICECS.2000.911570
