Robust stability analysis of interval fractional-order plants by fractional-order controllers: an approach to reduce additional calculation
Majid Ghorbani
Abstract
This paper investigates the robust stability of fractional-order plants suffering from interval uncertainties by using fractional-order controllers. Based on the zero-exclusion principle, at first, new necessary and sufficient criteria are proposed to analyze the robust stability of the corresponding characteristic polynomial. Then, an auxiliary function is presented to investigate the robust stability criteria. The results of this paper also help to reduce additional calculations noticeably since the vertices used in the auxiliary function are fixed for all positive frequencies. Finally, three numerical examples are given to indicate the effectiveness of the paper results.
Topics & Concepts
Stability (learning theory)MathematicsInterval (graph theory)Order (exchange)Function (biology)Control theory (sociology)Fractional-order systemApplied mathematicsPolynomialMathematical optimizationFractional calculusComputer scienceControl (management)Mathematical analysisCombinatoricsBiologyFinanceMachine learningArtificial intelligenceEvolutionary biologyEconomicsAdvanced Control Systems DesignExtremum Seeking Control SystemsAdvanced Control Systems Optimization