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, this paper is focused on fractional integration and particularly on the fractional integrator, which is an infinite dimension integer-order differential system. Consequently, the properties of this integrator are linked to its infinite dimension state variable and the mastery of its transients ...
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 ...
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 ...
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, new discretized models of fractional order differentiator (FOD) (sr) and fractional order integrator (FOI) (s−r) based on first and higher order operators are proposed. Specifically in this work, one-third (s±⅓) and one-fourth (s±¼) order differentiator and integrat...
In this paper, the digital IIR integrator design based on recursive Romberg integration rule and fractional sample delay was investigated. Starting with th... CC Tseng - IEEE International Symposium on Circuits & Systems 被引量: 48发表: 2008年 The optimal form of the fractional-order difference ...
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 ...
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 ...
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...