Robust stability of discrete-time systems under parametric perturbations

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-tim...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1994-05, Vol.39 (5), p.991-995
Main Authors: Karan, M., Sezer, M.E., Ocali, O.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Eigenvalues and eigenfunctions
Equations
Exact sciences and technology
Interconnected systems
Lyapunov method
Robust stability
Robustness
Stability analysis
Symmetric matrices
Systems engineering and theory
Uncertainty
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Summary: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.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.284877