Adaptive synchronization of chaos in permanent magnet synchronous motors based on passivity theory

An adaptive synchronization control method is proposed for chaotic permanent magnet synchronous motors based on the property of a passive system. We prove that the controller makes the synchronization error system between the driving and the response systems not only passive but also asymptotically stable. The simulation results show that the proposed method is effective and robust against uncertainties in the systemic parameters.

[1]  Junwei Gao,et al.  Adaptive fuzzy tracking control for the chaotic permanent magnet synchronous motor drive system via backstepping , 2011 .

[2]  Antonio Loría,et al.  Robust Linear Control of (Chaotic) Permanent-Magnet Synchronous Motors With Uncertainties , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[3]  王发强,et al.  Synchronization of hyperchaotic Lorenz system based on passive control , 2006 .

[4]  Ningning Yang,et al.  The synchronization of a fractional order hyperchaotic system based on passive control , 2011 .

[5]  Jing Yuan-wei,et al.  Robust H? observer-based control for synchronization of a class of complex dynamical networks , 2011 .

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

[7]  A. Isidori,et al.  Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems , 1991 .

[8]  Jun Ma,et al.  Optimize design of adaptive synchronization controllers and parameter observers in different hyperchaotic systems , 2010, Appl. Math. Comput..

[9]  K. T. Chau,et al.  Anti-control of chaos of a permanent magnet DC motor system for vibratory compactors , 2008 .

[10]  Bo Zhang,et al.  Effects of Current Time-Delayed Feedback on the Dynamics of a Permanent-Magnet Synchronous Motor , 2010, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  Bo Zhang,et al.  Controlling chaos in space-clamped FitzHugh–Nagumo neuron by adaptive passive method , 2010 .

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

[13]  K. T. Chau,et al.  Chaoization of DC Motors for Industrial Mixing , 2007, IEEE Transactions on Industrial Electronics.

[14]  Mohammad Ataei,et al.  Control of chaos in permanent magnet synchronous motor by using optimal Lyapunov exponents placement , 2010 .

[15]  J. L. Hudson,et al.  Adaptive control of unknown unstable steady states of dynamical systems. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  张波,et al.  Controlling chaos in permanent magnet synchronous motor based on finite-time stability theory , 2009 .

[17]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[18]  Liu Yang,et al.  Impulsive control of chaotic systems and its applications in synchronization , 2011 .

[19]  Lu Jun-An,et al.  Passive control and synchronization of hyperchaotic Chen system , 2008 .

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

[21]  J. Willems.  Dissipative dynamical systems part I: General theory , 1972 .

[22]  Zhang Bo,et al.  Controlling chaos in permanent magnet synchronous motor based on finite-time stability theory , 2009 .