Synchronization and Controlling Chaos in a Permanent Magnet Synchronous Motor

Abstract

In most situations, the high performance of permanent magnet synchronous motors (PMSMs) depends on an absence of chaos; consequently, suppressing chaos becomes quite important. Therefore, this study confirms the chaotic motion and then applies synchronization to a chaotic PMSM system to control chaos. Rich dynamics of the PMSM system are studied using a bifurcation diagram, phase portraits, a Poincaré map, frequency spectra and Lyapunov exponents. First, the largest Lyapunov exponent is estimated using synchronization to identify periodic and chaotic motions. Next, complex nonlinear behaviors are thoroughly observed throughout a range of parameter values in the bifurcation diagram. Finally, a proposed continuous feedback control method based on synchronization characteristics eliminated chaotic oscillations. Numerical simulations are utilized to verify the feasibility and efficiency of the proposed control technique.

Robust finite-time chaos synchronization of uncertain permanent magnet synchronous motors

“…The bifurcation and chaos phenomenon of system (4) are studied in the literatures [12][13][14][15][16][17][18][19][20][21][22][23]. It has been found that the PMSM experiences chaotic behavior when the initial conditions of system states and the operating parameters σ and γ fall in a certain area.…”

“…Zhang and Ding [16] proposed an adaptive control to achieve the chaos synchronization in two PMSMs. The Lyapunov exponent control for the chaos in PMSM was investigated in [17][18][19]. However, the parametric uncertainties and external disturbances, which are usually encountered in practical situations, are not taken into account in most research works shown above.…”

Synchronization and anti-synchronization of chaos for a multi-degree-of-freedom dynamical system by control of velocity

“…Its application to secure communications was computationally demonstrated. Chang (2010) confirmed chaotic motion in a permanent magnet synchronous motor (PMSM) and applied synchronization to a chaotic PMSM system to control its chaos. A proposed continuous feedback control method based on synchronization characteristics could eliminate chaotic oscillations.…”

Synchronization of chaotically behaving two permanent magnet synchronous motors using adaptive controller

“…The occurrence of chaos in motor drive systems was introduced by Kuroe and Hayashi [12] in the late of 1980 and since then, scientists and researchers have worked on different methods to identify, suppress and synchronize the chaos phenomenon in motor drives [3], [13], [2], [5], [11], [7].…”