Routh table

Routh table

[′rau̇th ‚tā·bəl]
(mathematics)
An array of numbers each of which is formed from coefficients of an algebraic equation in a specified manner; the first row of this array constitutes the sequence used in Routh's rule.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
According to the Routh Stability Criterion, if all coefficients in the characteristic equation are positive and the signs of all elements in the first column of Routh Table are positive, the system is stable.
In order to find a such common set of ([K.sub.p], [K.sub.i],[K.sub.d]) values that hold both [rho] and [phi] to be Hurwitz and satisfy the robust performance condition, Routh table was used.
Table 3: Routh Table for the condition 2 ([psi]) Routh-Hurwitz: 1st TF Zeros are: column is: [s.sup.5]: 0.87108 -6.4886 [s.sup.4]: 7.0089 -1.2726 [s.sup.3]: 8.8684 -0.11902-0.35566i [s.sup.2]: 2.1875 -0.11902+0.35566i [s.sup.1]: 0.93858 -0.046609 [s.sup.0]: 0.047362 Table 4: Routh Table for the condilion 1 ([rho]) Routh-Nurwitz: 1st TF Zeros are: column is: [s.sup.3]: 0.9747 -0.021974-0.270671 [s.sup.2]: 0.0884 -0.021974+0.270671 [s.sup.1]: 0.036833 -0.046746 [s.sup.0]: 0.00336 Table 5: The ranges of ([K.sub.p], [K.sub.i], [K.sub.d]) values for G(s) of case 2.