An implementation on MATLAB software for stability analysis of proportional controllers in linear time invariant control systems

Abstract

Stability range of proportional (P) controllers can be obtained using Routh-Hurwitz criterion for continuous linear time invariant (LTI) control systems or Bistritz criterion, Jury criterion for discrete LTI systems. Conditions from these criterions bring out inequalities. In case of high-order plants, these inequalities are very difficult to solve directly. In the paper, an algorithm is developed on MATLAB software to solve polynomial inequalites. With the support of this algorithm, stability criterions are implemented to find stability range of P controllers.