Chaos and Complexity Analysis of a Discrete Permanent-Magnet Synchronous Motor System

In this paper, a spectral entropy algorithm has been used successfully for complexity measure of a discrete permanent-magnet synchronous motor (PMSM) system. Firstly, the discrete PMSM system is achieved using the forward Euler scheme. Secondly, by adopting the bifurcation diagram, phase portraits, 0-1 test, and largest Lyapunov exponent, the chaotic dynamics of the discrete PMSM system are analyzed. The complexity of the discrete PMSM system is discussed by employing the spectral entropy algorithm. It shows that the spectral entropy complexity analysis is an efficient tool to study chaotic dynamics. Finally, we illustrate this result through numerical experiments.

[1]  B. Pompe,et al.  Permutation entropy: a natural complexity measure for time series. , 2002, Physical review letters.

[2]  孙克辉,et al.  Complexity analysis of chaotic sequence based on the intensive statistical complexity algorithm , 2011 .

[3]  Fang Chen,et al.  Dynamic process of information transmission complexity in human brains , 2000, Biological Cybernetics.

[4]  Zhijie Cai,et al.  Quantitative analysis of brain optical images with 2D C 0 complexity measure , 2007, Journal of Neuroscience Methods.

[5]  Georg A. Gottwald,et al.  On the Implementation of the 0-1 Test for Chaos , 2009, SIAM J. Appl. Dyn. Syst..

[6]  Xiaofeng Liao,et al.  Dynamical analysis of the permanent-magnet synchronous motor chaotic system , 2017 .

[7]  Osvaldo A. Rosso,et al.  Statistical complexity measure of pseudorandom bit generators , 2005 .

[8]  He Shao-Bo,et al.  Complexity analyses of multi-wing chaotic systems , 2013 .

[9]  Osvaldo A. Rosso,et al.  Intensive statistical complexity measure of pseudorandom number generators , 2005 .

[10]  Liu Nian-sheng,et al.  Pseudo-randomness and complexity of binary sequences generated by the chaotic system , 2011 .

[11]  Han Ho Choi.  Adaptive control of a chaotic permanent magnet synchronous motor , 2012 .

[12]  Cai Zhi-jie,et al.  Mathematical foundation of a new complexity measure , 2005 .

[13]  Guanrong Chen,et al.  Complex dynamics in a permanent-magnet synchronous motor model , 2004 .

[14]  Wuneng Zhou,et al.  Chaos control of pulse-disturbed permanent magnet synchronous motor with uncertain parameters , 2016 .

[15]  T. Inouye,et al.  Quantification of EEG irregularity by use of the entropy of the power spectrum. , 1991, Electroencephalography and clinical neurophysiology.

[16]  Baoming Bai,et al.  A New Complexity Metric of Chaotic Pseudorandom Sequences Based on Fuzzy Entropy: A New Complexity Metric of Chaotic Pseudorandom Sequences Based on Fuzzy Entropy , 2011 .

[17]  Takuya Yamano,et al.  A statistical measure of complexity with nonextensive entropy , 2004 .

[18]  Yan Gui-rong,et al.  Information theory approach to determine embedding parameters for phase space reconstruction of chaotic time series , 2005 .

[19]  Neil Genzlinger.  A. and Q , 2006 .

[20]  J. Richman,et al.  Physiological time-series analysis using approximate entropy and sample entropy. , 2000, American journal of physiology. Heart and circulatory physiology.

[21]  Kehui Sun,et al.  Complexity Analysis and DSP Implementation of the Fractional-Order Lorenz Hyperchaotic System , 2015, Entropy.

[22]  Guanrong Chen,et al.  Bifurcations and chaos in a permanent-magnet synchronous motor , 2002 .

[23]  S. Pincus.  Approximate entropy (ApEn) as a complexity measure. , 1995, Chaos.

[24]  Wangxin Yu,et al.  Characterization of Surface EMG Signal Based on Fuzzy Entropy , 2007, IEEE Transactions on Neural Systems and Rehabilitation Engineering.

[25]  J. P. Lasalle.  The stability and control of discrete processes , 1986 .

[26]  He Yi,et al.  Complexity analysis of chaotic pseudo-random sequences based on spectral entropy algorithm , 2013 .

[27]  Ramakrishna Ramaswamy,et al.  Information-entropic analysis of chaotic time series: determination of time-delays and dynamical coupling , 2002 .

[28]  Abraham Lempel,et al.  On the Complexity of Finite Sequences , 1976, IEEE Trans. Inf. Theory.

[29]  Sun Ke-hu,et al.  Analysis of Chaotic Complexity Characteristics Based on C_0 Algorithm , 2013 .