Title
Convergence of gradient observer for rotor position and magnet flux estimation of permanent magnet synchronous motors.
Abstract
In Bernard and Praly (2017), we introduced a new sensorless rotor position observer for permanent magnet synchronous motors which does not require the knowledge of the magnet’s flux : only electrical measurements and knowledge of the resistance and inductance are needed. In fact, this observer extends the gradient observer from Lee et al. (2010) with the estimation of the magnet’s flux. In this paper, we prove its asymptotic stability provided the voltages/intensities (and some of their derivatives) are bounded, and the rotation speed remains away from zero. The proof relies on finding appropriate changes of coordinates allowing the construction of a weak Lyapunov function by backstepping, and the study of its invariant sets.
Year
DOI
Venue
2018
10.1016/j.automatica.2018.04.009
Automatica
Keywords
Field
DocType
Gradient observer,PMSM,Sensorless,Lyapunov function
Lyapunov function,Backstepping,Inductance,Control theory,Magnet,Rotor (electric),Exponential stability,Invariant (mathematics),Observer (quantum physics),Mathematics
Journal
Volume
Issue
ISSN
94
1
0005-1098
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Pauline Bernard1233.96
Praly, L.21835364.39