Analog Modeling of Fractional Switched-Order Derivatives: Experimental Approach

The article presents experimental results of modeling switched-order integrators based on domino-ladder approximations of order 0.5 and 0.25. Results were obtained for increasing and decreasing the fractional order. As fractional order impedances, a half-order domino ladder impedance, and quarter-order domino ladder structure were used. The quarter-order impedance was implemented with using over 5000 discrete elements. The experimental circuits are based on switching scheme that is numerically identical to the second order type of fractional variable order derivative. Experimental results were analyzed and compared with numerical results.

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