A NEW PARAMETER ESTIMATE IN SINGULAR PERTURBATIONS

被引：17

作者：

ABED, EH ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742

来源：

SYSTEMS & CONTROL LETTERS | 1985年 / 6卷 / 03期

关键词：

SYSTEM STABILITY - Lyapunov Methods;

D O I：

10.1016/0167-6911(85)90040-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new upper bound is obtained for the singular perturbation parameter of an asymptotically stable singularly perturbed system. General time-invariant systems with a single small parameter are considered. The paper employs a Riccati equation whose solution is known to facilitate the exact decoupling of fast and slow dynamics. An application of the Brouwer fixed point theorem to the Riccati equation and of Lyapunov's direct method to the fast and slow subsystems results in the desired upper bound. Computation of the estimate requires only the solution of two Lyapunov matrix equations.

引用

页码：193 / 198

页数：6

共 28 条

[1] MULTIPARAMETER SINGULAR PERTURBATION PROBLEMS - ITERATIVE EXPANSIONS AND ASYMPTOTIC STABILITY [J].