Title :
Comments on “Chaos Synchronization of Uncertain Fractional-Order Chaotic Systems With Time Delay Based on Adaptive Fuzzy Sliding Mode Control”
Author :
Tavazoei, Mohammad Saleh
Author_Institution :
Dept. of Electr. Eng., Sharif Univ. of Technol., Tehran, Iran
Abstract :
In this letter, it is shown that some of the equalities that were used in the proof of the main theorem of the paper given by Lin and Lee are not consistent with fractional calculus principles. Simple counterexamples are provided to confirm this point. Moreover, correct versions of equations that were derived in the mentioned theorem are presented. Based on these corrections, the synchronization scheme proposed in the mentioned paper is investigated.
Keywords :
adaptive control; calculus; chaos; delays; fuzzy control; synchronisation; uncertain systems; variable structure systems; adaptive fuzzy sliding mode control; chaos synchronization scheme; fractional calculus principles; time delay; uncertain fractional-order chaotic systems; Adaptive systems; Chaos; Equations; Fractional calculus; Synchronization; Vectors; Fractional calculus; fractional derivative;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2012.2188637
