摘要：Fractional order (FO) calculus in modelling and control applications has beenincreasingly popular in every scientific field due to its versatility and superiority in variousinstances. Moreover,the models’ parameters present uncertainties，called intervals.However,the main issue of fractional order elements is related to their implementation.Usually,integerorder elements are used through different approximation methods to implement such elements.None of the existing methods discuss the introduction of a fractional element in a fixed-structurerobust synthesis method. The objects from the MATLAB's Robust Control Toolbox could notbe implied in other than well-known arithmetic operations between the parameters of the fixed-structure controllers,while existing approximations use exponential terms. To overcome thisshortcoming, this work proposes and offers the algorithm for an approximation method usefulin robust controller synthesis，which is validated for several numerical case studies.
