Stability analysis of uncertain systems through Routh’s criterion.
DOI:
https://doi.org/10.5433/1679-0375.2008v29n2p119Keywords:
Stability, Uncertain Systems, Routh’s Criterion, Output Feedback, Characteristic Polynomial.Abstract
Routh’s Stability Criterion is a simple and useful tool for stability analysis of control systems. In this work, it is proposed a method In this work, it is proposed a method for stability study of uncertain systems dx(t)/dt=(Ao+aDA)x(t), using Routh’s Stability Criterion in the analysis of the eigenvalues of Ao+aDA. The method determines the range of values of a that guarantees the asymptotic stability of the system. An analog application for negative output feedback systems given by dx(t)/dt=(A-BKC)x(t), where K=kI, is also presented.Downloads
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