Tolba, M.F.; AboAlNaga, B.M.; Said, L.A.; Madian, A.H.; Radwan, A.G. Fractional order integrator/ differentiator: FPGA implementation and FOPID controller application. AEU Int. J. Electron. Commun. 2019, 98, 220-229. [CrossRef]...
Thus, the transients of these two derivatives rely on the mastery of the infinite state variable of the associated fractional integrator. The Laplace transform equations of the explicit derivatives are revisited: the main result is that usual relations are wrong because the initial conditions of the...
Fractional-order integrator Chaos Control Stabilization Access this article Log in via an institution Subscribe and save Springer+ Basic €32.70 /Month Get 10 units per month Download Article/Chapter or eBook 1 Unit = 1 Article or 1 Chapter ...
To provide more tuning freedom in the trade-off between overshoot and settling times of PID controlled stages, a PID controller with a fractional order integrator is studied. The fractional order integrator has two parameters dependent on the order λ. Namely, the corner frequency ωi(λ) and ...
The use of FO integrator and derivative FO terms combines the benefits of the FOPID control with the tilt term. The FO ID terms provide more opportunities for flexible design compared with IO-based PID controller. Merging the two controllers adds more flexibility and freedom to the new proposed...
Therefore, the fractional-order integrator is obtained. The realization of the proposed FOCS and its synchronization by an electronic circuit are verified for confirming the feasibility of using the new FOCS in real applications. In the circuit design of the FOCS, for the order q = 0.9, the ...
In this paper, an optimized fractional order conditional integrator (OFOCI) is proposed. The key feature of this OFOCI is that, the fractional order of the integrator and the output parameter for the "hold" value in the course of conditional integration, can be tuned following the analytical ...
In this paper some effective and easy-to-use tools for the time-domain analysis of fractional-order systems are presented. A concept of a PI-lambda-D-mu controller, involving fractional-order integrator and fractional-order differentiator, is introduced. An example is provided to demonstrate the ...
Two direct discretization methods useful in control and digital filtering are presented for discretizing the fractional-order differentiator or integrator. Detailed mathematical formulae and tables are given. An illustrative example is presented to show the practically usefulness of the two proposed ...
The basic element of fractional order, both in electrochemistry and automatic control theory is the so-called fractional order integrator. In electrochemistry, it is the result of empirical considerations and is called the constant phase element (CPE). Its transfer function is presented in Eq. (9...