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Stability of Digital Control System

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  1. Stability of Digital Control System

  2. Stability is a basic requirement for digital and analog control systems Asymptotic Stability Bounded Input Bounded Output

  3. Observe

  4. Asymptotic Stability for Digital Control System BIBO Stability

  5. Internal Stability

  6. Routh-Hurwitz Criterion Bilinear transformation transforms the inside of the unit circle to the LHP (Left Half Plane). Bilinear Transformation Example : Substituting the bilinear transformation stability conditions

  7. Jury Criterion

  8. Example : We compute the entries of the Jury table using the coefficients of the polynomial

  9. Transient and Steady State Analysis Transient Analysis

  10. Steady State Error Analysis Final Value Theorem

  11. 1) For unity feedback in figure below, 2)