A comparative introduction of four fractional order controllers

By Dingyu Xue, YangQuan Chen. Proceedings of the 4th World Congress on Intelligent Control and Automation (Cat. No.02EX527), 2002

276 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2140eac87e6bb0d3c0973af34bcf8cf95fbc6ec0

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Citations in the corpus

Stability of Fractional-Order Systems with Rational Orders (2008, unknown): “actances [7,12,14,21,40,71], mechatronics systems [55], signal processing [56,68], chemical mixing [41], chaos theory [62,64], and biological system as well [23]. It is recommended to refer to (e.g.: [6,39,43,59,73]) for the further engineering applications of fractional order systems. The question ”
Stability and stabilization of fractional-order linear systems with convex polytopic uncertainties (2012, background): “On the other hand, with the success in the synthesis of real noninteger differentiator and the emergence of new electrical circuit element called “fractance” [17],[31], fractional-order controllers [20],[23],[25], [32] have been designed and applied to control a variety of dynamical processes, inclu”
A Modified Approximation Method of Fractional Order System (2006, background): “And 2N + 1 is the total number of zeros or poles.”
Fractional Order Sliding Mode Controller Design for Fractional Order Dynamic Systems (2010, background): “A comparison of several controller designs are presented in [14], thorough investigations considering the continuous time case is dealt with in [9] and in [5].”
Fractional order control - A tutorial (2009, background): “In this section, three other representative fractional-order controllers in the literature will be briefly introduced, namely, TID (tilted integral derivative) controller, CRONE controller and fractional lead-lag compensator [ 100 ], [102].”
Load frequency control of a two-area multi-source power system using a tilt integral derivative controller (2018, unknown): “There are four representative FOCs in the literature, namely, TID (tilted integral derivative) controller, CRONE controller (Contrôle Robuste d’Ordre Non Entier), proportional integral derivative (PID) controller and fractional lead-lag compensator (Xue and Chen, 2002).”
A fractional order PID tuning algorithm for a class of fractional order plants (2005, background): “A comparative introduction of four fractional order controllers can be found in [10].”