A methodology for synthesized a prefilter is defined using I/O Frequency Band-Limited Fractional Differentiator (FBLFD) transfer function whose two main properties are having no overshoot on the plant output and by adding numerator to have maximum control value for short time.
It has been demonstrated that the maximum error could be limited to 11-bit fractional accuracy for a 16-bit computation by appropriate regrouping of the binary fields of the number being processed.
Because of the wide application of Hermite-Hadamard type inequalities and fractional integrals, many researchers extend their studies to Hermite-Hadamard type inequalities involving fractional integrals not limited to integer integrals.
The different effects are analyzed based on these two deduced equivalent parameters, when the two fractional orders are limited in the typical intervals, i.e. p1∈[0 1] and p2∈[1 2].
Thus the lower limit of fractional order for this system to be chaotic is between α = 0.8320 and α = 0.8321, and the lowest order we found for this system to yield chaotic is 3.3284.
However, fractional part is usually limited to a value with a dedicated resolution of a few bits.
