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Relative Stability Analysis of Linear Systems Based on Damping Factor


Dr.Sreekala K. , Sreenarayana Gurukulam College of Engineering; Dr.S.N.Sivanandam, Karpagam Institute of Technology


damping ratio, characteristic equations, algebraic methods


Information about the relative stability of a control system is of paramount importance for any design problem. In this paper two algebraic criteria for the relative stability analysis of linear time-invariant systems are formulated. When the relative stability analysis is done based on the damping ratio, characteristic equations with complex coefficients arise. These complex coefficients are used in two different ways to form the Modified Routh’s tables for the two schemes named as Sign Pair Criterion I and Sign Pair Criterion II It is found that the proposed algorithms offer computational simplicity compared to other algebraic methods and is illustrated with suitable examples.

Other Details

Paper ID: IJSRDV3I2687
Published in: Volume : 3, Issue : 2
Publication Date: 01/05/2015
Page(s): 1732-1734

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