Title :
An infinite ϵ-bound stabilization design for a class of singularly perturbed systems
Author :
Chiou, Juing-Shian ; Kung, Fan-Chu ; Li, Tzuu-Hseng S.
Author_Institution :
Dept. of Electr. Eng., Nat. Chen Kung Univ., Tainan, Taiwan
fDate :
12/1/1999 12:00:00 AM
Abstract :
According to the Lyapunov stability theorem and the bounds of solutions of the Lyapunov equation, the state feedback gain matrices can be determined to guarantee the stability of the singularly perturbed systems for all ε∈(0,∞). A numeral example and an operational amplifier circuit are given to illustrate the effectiveness of the proposed scheme
Keywords :
Lyapunov methods; active networks; circuit stability; linear network synthesis; lumped parameter networks; operational amplifiers; singularly perturbed systems; state feedback; Lyapunov stability theorem; infinite ϵ-bound stabilization design; operational amplifier circuit; singularly perturbed systems; state feedback gain matrices; Appraisal; Circuit stability; Control systems; Equations; Large-scale systems; Lyapunov method; Operational amplifiers; Robust control; State feedback; Upper bound;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on