Robust stability of discrete-time systems under parametric perturbations
Author
Karan, M.
Sezer, M. E.
Ocali, O.
Date
1994-05Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
Publisher
IEEE
Volume
39
Issue
5
Pages
991 - 995
Language
English
Type
ArticleItem Usage Stats
117
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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.
Keywords
Control system analysisMathematical 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
Permalink
http://hdl.handle.net/11693/13597Published Version (Please cite this version)
http://dx.doi.org/10.1109/9.284877Collections
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