Robust stability of discrete-time systems under parametric perturbations

Date
1994-05
Authors
Karan, M.
Sezer, M. E.
Ocali, O.
Advisor
Instructor
Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
Electronic ISSN
Publisher
IEEE
Volume
39
Issue
5
Pages
991 - 995
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

Stability robustness analysis of a system under parametric perturbations is concerned with characterizing a region in the parameter space in which the system remains stable. In this paper, two methods are presented to estimate the stability robustness region of a linear, time-invariant, discrete-time system under multiparameter additive perturbations. An inherent difficulty, which originates from the nonlinear appearance of the perturbation parameters in the inequalities defining the robustness region, is resolved by transforming the problem to stability of a higher order continuous-time system. This allows for application of the available results on stability robustness of continuous-time systems to discrete-time systems. The results are also applied to stability analysis of discrete-time interconnected systems, where the interconnections are treated as perturbations on decoupled stable subsystems.

Course
Other identifiers
Book Title
Keywords
Control system analysis, Mathematical models, Parameter estimation, Perturbation techniques, Robustness (control systems), System stability, Higher order continuous time system, Multiparameter additive perturbations, Parametric perturbations, Stability robustness analysis, Discrete time control systems
Citation
Published Version (Please cite this version)