Stability Analysis of Fractional Adaptive High-Gain Controllers for a Class of Linear Systems General case
Ladaci, S.; Loiseau, J.J.; Charef, A.
IEEE Industrial Electronics, IECON 2006 - 32nd Annual Conference on
Volume , Issue , 6-10 Nov. 2006 Page(s):5397 - 5401
Digital Object Identifier   10.1109/IECON.2006.347226
Summary:In this paper we demonstrate that a fractional adaptive controller based on the high gain output feedback stabilizes the class of linear, time-invariant, minimum phase, SISO systems of relative degree one. We generalize the stability theorem of integer controllers to fractional order controllers whose derivative order is a real number between one and two, and introduce a new tuning parameter for the performance behaviour of the controlled plant. A simulation example is given to illustrate the effectiveness of the proposed algorithm

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