Multistability and Hidden Attractors in the Dynamics of Permanent Magnet Synchronous Motor

This paper attempts to find some interesting and unique properties in the dynamics of a permanent magnet synchronous motor (PMSM). When compared with the existing literature on the dynamics of a PM...

[1]  Binoy Krishna Roy,et al.  New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria , 2018 .

[2]  Nikolay V. Kuznetsov,et al.  Hidden Oscillations in Electromechanical Systems , 2017 .

[3]  U. Feudel,et al.  Control of multistability , 2014 .

[4]  Nikolay V. Kuznetsov,et al.  Hidden oscillations in mathematical model of drilling system actuated by induction motor with a wound rotor , 2014 .

[5]  Sergey P. Kuznetsov,et al.  Co-existing hidden attractors in a radio-physical oscillator system , 2015 .

[6]  T. N. Mokaev,et al.  Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion Homoclinic orbits, and self-excited and hidden attractors , 2015 .

[7]  J. Maurer,et al.  Effect of the Prandtl number on the onset of turbulence in liquid 4He , 1980 .

[8]  K. Chau,et al.  Hopf bifurcation and chaos in synchronous reluctance motor drives , 2004, IEEE Transactions on Energy Conversion.

[9]  Binoy Krishna Roy,et al.  Crisis and inverse crisis route to chaos in a new 3-D chaotic system with saddle, saddle foci and stable node foci nature of equilibria , 2016 .

[10]  Fairouz Tchier,et al.  Design of an adaptive chattering avoidance global sliding mode tracker for uncertain non-linear time-varying systems , 2017 .

[11]  Binoy Krishna Roy,et al.  Synchronization and anti-synchronization of Lu and Bhalekar–Gejji chaotic systems using nonlinear active control , 2014 .

[12]  Julien Clinton Sprott,et al.  Recent new examples of hidden attractors , 2015 .

[13]  Nikolay V. Kuznetsov,et al.  Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems , 2011 .

[14]  Luo Xiao-Shu,et al.  Nonlinear dynamics of permanent-magnet synchronous motor with v/f control , 2013 .

[15]  Binoy Krishna Roy,et al.  A new four-dimensional chaotic system with first Lyapunov exponent of about 22, hyperbolic curve and circular paraboloid types of equilibria and its switching synchronization by an adaptive global integral sliding mode control* , 2018 .

[16]  Sundarapandian Vaidyanathan,et al.  Anti-synchronization of four-wing chaotic systems via sliding mode control , 2012, Int. J. Autom. Comput..

[17]  Linquan Bai,et al.  Finite-time synchronization control and parameter identification of uncertain permanent magnet synchronous motor , 2016, Neurocomputing.

[18]  Long Liu,et al.  Robust nonlinear feedback control of a chaotic permanent-magnet synchronous motor with a load torque disturbance , 2014 .

[19]  Han Ho Choi,et al.  Adaptive synchronization method for chaotic permanent magnet synchronous motor , 2014, Math. Comput. Simul..

[20]  Lin Zhao,et al.  Adaptive fuzzy control for induction motors stochastic nonlinear systems with input saturation based on command filtering , 2018, Inf. Sci..

[21]  Sajad Jafari,et al.  Three-dimensional chaotic autonomous system with only one stable equilibrium: Analysis, circuit design, parameter estimation, control, synchronization and its fractional-order form , 2014 .

[22]  Yi-You Hou,et al.  Finite-Time Chaos Suppression of Permanent Magnet Synchronous Motor Systems , 2014, Entropy.

[23]  Przemyslaw Perlikowski,et al.  Multistability and Rare attractors in van der Pol-Duffing oscillator , 2011, Int. J. Bifurc. Chaos.

[24]  B. H. Wang,et al.  Robust adaptive dynamic surface control of chaos in permanent magnet synchronous motor , 2007 .

[25]  Guanrong Chen,et al.  On a new asymmetric chaotic system , 2008 .

[26]  Jalal Nazarzadeh,et al.  Bifurcation and Lyapunov's exponents characteristics of electrical scalar drive systems , 2012 .

[27]  N. V. Kuznetsov,et al.  Hidden attractors in fundamental problems and engineering models. A short survey , 2015, 1510.04803.

[28]  Binoy Krishna Roy,et al.  The simplest 4-D chaotic system with line of equilibria, chaotic 2-torus and 3-torus behaviour , 2017 .

[29]  Urmila Kar,et al.  Co-existence of multiple attractors in the PWM controlled DC drives , 2013 .

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

[31]  Bocheng Bao,et al.  Multistability induced by two symmetric stable node-foci in modified canonical Chua’s circuit , 2017 .

[32]  Nikolay V. Kuznetsov,et al.  Coexistence of single- and multi-scroll chaotic orbits in a single-link flexible joint robot manipulator with stable spiral and index-4 spiral repellor types of equilibria , 2017 .

[33]  Zheng-Ming Ge,et al.  Chaos synchronization and parameters identification of single time scale brushless DC motors , 2004 .

[34]  Yu Guo,et al.  Periodic Motions to Chaos in Pendulum , 2016, Int. J. Bifurc. Chaos.

[35]  Zhang Bo,et al.  Adaptive synchronization of chaos in permanent magnet synchronous motors based on passivity theory , 2012 .

[36]  Steven R. Bishop,et al.  Dynamics of a parametrically excited system with two forcing terms , 2014 .

[37]  Jian Hu,et al.  Adaptive nonlinear feedback control of chaos in permanent-magnet synchronous motor system with parametric uncertainty , 2015 .

[38]  G. Leonov,et al.  Hidden attractors in dynamical systems , 2016 .

[39]  Lin Zhao,et al.  Finite-time adaptive fuzzy control for induction motors with input saturation based on command filtering , 2018 .

[40]  E. Lorenz.  Deterministic nonperiodic flow , 1963 .

[41]  Konstantin E. Starkov,et al.  Bounding a domain containing all compact invariant sets of the permanent-magnet motor system , 2009 .

[42]  Xuemei Ren,et al.  Full-order sliding mode control of uncertain chaos in a permanent magnet synchronous motor based on a fuzzy extended state observer , 2015 .

[43]  Chun-Lai Li,et al.  Chaos control of permanent magnet synchronous motors via unidirectional correlation , 2014 .

[44]  J. P. Singh,et al.  The nature of Lyapunov exponents is (+, +, −, −). Is it a hyperchaotic system? , 2016 .

[45]  Nikolay V. Kuznetsov,et al.  Control of multistability in hidden attractors , 2015 .

[46]  Nikolay V. Kuznetsov,et al.  Hidden attractor in smooth Chua systems , 2012 .

[47]  Nikolay V. Kuznetsov,et al.  Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits , 2013, Int. J. Bifurc. Chaos.

[48]  Mohamed Wissem Naouar,et al.  Predictive control strategies for wind turbine system based on permanent magnet synchronous generator. , 2016, ISA transactions.

[49]  S. Mobayen,et al.  An adaptive fast terminal sliding mode control combined with global sliding mode scheme for tracking control of uncertain nonlinear third-order systems , 2015 .