Title :
A new D-stability criterion of multiparameter singularly perturbed discrete systems
Author :
Li, Tzuu-Hseng S. ; Chiou, Juing-Shian
Author_Institution :
Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan
fDate :
8/1/2002 12:00:00 AM
Abstract :
The stability and D-stability problems of the multiparameter singularly perturbed discrete-time systems and its reduced subsystems are explored in this paper. The critical stability criterion of the discrete system is adopted to examine the stability bounds. A three-step algorithm is proposed to determine an upper bound of the norm of the multiparameter vector ε = [ε1 ε2 ··· εN]T. A numerical example is given to compare the new results with those in the literature.
Keywords :
control system analysis; discrete time systems; matrix algebra; singularly perturbed systems; stability criteria; state-space methods; D-stability criterion; critical stability criterion; multiparameter discrete-time systems; reduced subsystems; singularly perturbed discrete-time systems; stability bound; state-space approach; three-step algorithm; Circuits; Councils; Eigenvalues and eigenfunctions; Equations; Laboratories; Stability criteria; Uncertainty; Upper bound;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.801242