Stability of continuous systems by Routh-Hurwitz and mathematica

Issue title: Computational and Mathematical Methods for Science and Engineering Conference 2002 – CMMSE-2002

Article type: Research Article

Authors: Valverde, Jose C.^{; *} | Pelayo, Fernando L. | Martinez, Juan A. | Miralles, Juan J.

Affiliations: Escuela Politecnica Superior de Albacete University of Castilla-La Mancha, Campus Universitario s/n, 02071 – Albacete, Spain

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: Nowadays, one of the main topics in Engineering is, undoubtedly, the Automatic Control of Systems. Probably, the most important problem in this area is how to guarantee the stability of a closed loop control system. The Routh-Hurwith Criterion, RHC, provides one of the most powerful algorithm for analyzing the mentioned stability, even when it depends on an adjustable parameter. It has been developed a computational system in Mathematica, which, applying this Criterion, is able to analyze the stability of every Continuous System which can be modelled by transfer functions in the way of quotient of real coefficients polynomials.

Keywords: computational engineering, computational mathematics, industrial mathematics, automatic control, stability, mathematica

DOI: 10.3233/JCM-2004-41-215

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 4, no. 1-2, pp. 125-134, 2004