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      Robust stability of discrete-time systems under parametric perturbations

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      Author
      Karan, M.
      Sezer, M. E.
      Ocali, O.
      Date
      1994-05
      Source Title
      IEEE Transactions on Automatic Control
      Print ISSN
      0018-9286
      Publisher
      IEEE
      Volume
      39
      Issue
      5
      Pages
      991 - 995
      Language
      English
      Type
      Article
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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 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
      Permalink
      http://hdl.handle.net/11693/13597
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/9.284877
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      • Department of Electrical and Electronics Engineering 3524
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