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Recent reports of Solar modulation of beta-decay have reignited interest in whether or not radioactive half-lives are constants. A numerical approach for filtering instrumental effects on residuals is developed, using correlations with atmospheric conditions recorded while counting 204Tl emissions with a Geiger-Müller counter. Half-life oscillations and detection efficiency oscillations can be separated...
A new type of fractional-order digital phase-locked loops (FoDPLLs) is proposed. They comprise a fractional-order digital controlled oscillator (FoDCO) and a new form of fractional-order filters (FoF). The FoDPLLs are obtained by discretizing the continuous fractional differential operators using a closed-form solution. These operators generate biquadratic rational z-transfer functions, which yield...
A fractional-order digital phase-locked loop (FODPLL) is proposed. The FODPLL model is developed by approximating a fractional-order digital controlled-oscillator (FODCO) with a finite dimensional discrete transfer function. The design of FODPLLs model is simplified where one only needs to design a FODCO. The FODPLL outperformed its integer order counterpart. The loop parameters will then be tuned...
An analog fractional-order phase-locked loop (FOPLL) is investigated under noisy conditions. The FOPLL using fractional voltage-controlled oscillator (FVCO) and a fractional loop filter (FLF) outperforms its integer-order counterpart for both noisy and noiseless signals. Reducing the loop fractional orders increases both the locking and capturing ranges, and the bandwidth of the FOPLL, which substantially...
In this paper, a fractional-order analog phase-locked loop (FAPLL) model is proposed. In the new model, the traditional analog phase locked loop (APLL) is generalized by allowing the loop filters as well as the voltage controlled oscillators to acquire fractional order dynamics. The new model offers superior performance compared to its integer order counterpart in terms of capture and locking time...
This paper presents a sliding mode control of fractional system using static output feedbacks. Fractional systems are described by differential equations of non-integer commensurate order. Since the stability region for integer-order systems is a subset of that of the fractional order ones, the design procedure is constructed for a virtual integer-order system. This approach simplifies both the switching...
Maintaining a temperature level of about 40 o C, the optimum temperature for mesophilic bacteria's growth and activity, is crucial for obtaining the best results with respect to biogas production. This study investigates the utilization of solar energy for heating a bioreactor that was already developed at our laboratory and is currently in operation. For purposes of this study, a solar collector...
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