吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (4): 1225-1230.doi: 10.13229/j.cnki.jdxbgxb201704030

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Full state based adaptive control of fractional order chaotic system without equilibrium point

SHAO Ke-yong, CHEN Feng, WANG Ting-ting, WANG Ji-chi, ZHOU Li-peng   

  1. College of Electrical Engineering and Information, Northeast Petroleum University, Daqing 163318,China
  • Received:2016-05-28 Online:2017-07-20 Published:2017-07-20

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Abstract: For a class of chaotic system without equilibrium point, its solution series is obtained by the Fractional Differential Transformation Method (FDTM). Then, the Kaplan-Yorke dimension and the dissipativity of the system are investigated. The Lyapunov characteristic exponents are calculated based on the discrete map of the system through QR factorization algorithm, and the largest Lyapunov characteristic exponent is applied to judge whether the system keeps chaos or not. Finally, a full state based adaptive controller for the fractional order chaotic system is designed, which allows the states of the system to track the desired constant. The feasibility of the proposed algorithm is verified by numerical simulation.

Key words: automatic control technology, artificial intelligence, chaotic system without equilibrium point, fractional differential transformation method(FDTM), full state based adaptive control, Lyapunov characteristic exponent

CLC Number: 

  • TP273
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