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Title: Design of Routh column polynomials for instability analysis of linear time invariant continuous systems
Authors: Sivanandam, S N
Deepa, S N
Issue Date: Feb-2007
Publisher: CSIR
IPC CodeG01R31/02
Abstract: The analysis of unstable linear time-invariant continuous systems, employing the elements of columns from Routh table is brought out in this work. A linear time invariant continuous system represented in the form of characteristic equation can be analyzed for stability or instability with the help of Routh table. The elements of this table are generated using Routh multiplication rules and the sign changes in the first column, as well sign change anywhere in the table indicates unstable situation. If the sign change occurs at the end of the first column, it involves more computation. As a result, in this work, the other columns of the Routh array are studied, based on which Pseudo-Routh Polynomials are constructed and the instability is analyzed. It is to be noted that the information residing from the last column only traverses towards the first column. If the instability analysis is obtained from last column or last but one column itself, the entire Routh array need not be constructed, which helps in easier computation in higher degree polynomials. Examples are given to illustrate the proposed scheme.
Page(s): 81-86
ISSN: 0971-4588
Source:IJEMS Vol.14(1) [February 2007]

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