Stability of Digital Control System

bustlingdivisionElectronics - Devices

Nov 15, 2013 (3 years and 10 months ago)

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Stability of Digital Control System

Stability is a basic requirement for digital and analog
control systems

Asymptotic Stability

Bounded Input Bounded Output

Observe

Asymptotic Stability for Digital Control System

BIBO Stability

Internal Stability

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

Jury Criterion

Example :

We compute the entries of the Jury table using the coefficients of the polynomial

Transient and Steady State
Analysis

Transient Analysis

Steady State Error Analysis

Final Value Theorem

1) For unity feedback in figure below,

2)