Abstract
The work presented, describes the design of a RC-Phase shift oscillator in fractional domain is illustrated using Foster-1 approximated fractional-capacitor. Here the simulated analysis is carried out using three fractional-capacitors <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$FC_{1}, \ FC_{2}$</tex> , and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$FC_{3}$</tex> bearing different non-dependent fractional-orders <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\alpha,\ \beta$</tex> , and <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$\gamma$</tex> . respectively in the Fractional-order RC-phase shift oscillator. The phase shifting section of the proposed fractional-order oscillator has been investigated by simulating time and frequency-domain responses in MATLAB. In frequency-domain, it is envisaged that maximum phase-shift depends on varying the fractional-orders, which enhances the degree of design freedom. Later, in this paper simulation studies for stability analysis have been performed to explore the dependence of different parameters (rise-time, peak-overshoot, settling-time) of the proposed oscillators on the fractional-exponents.
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