Nonlinear speed observer for the PM stepper motor

Chiasson, John; Novotnak, R.T.

doi:10.1109/9.241582

Cited by 48 publications

(24 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Moreover, we extend the result to multi-inputsoutputs systems. The obtained result can not only cope with the example studied in [23] using a more constructive way but also be applicable for the other systems. This paper is organised as follows: In Section 2, we first recall the concept of the NOCF, then we present an algorithm to construct a change of coordinates which permits to transform a non-linear system into the NOCF.…”

Section: Introductionmentioning

confidence: 80%

See 1 more Smart Citation

Observer design for a class of non‐linear systems with linearisable error dynamics

Boutat

Liu

2015

IET Control Theory & Applications

View full text Add to dashboard Cite

This study aims to study the existence of a change of coordinates which permits to transform a class of non-linear dynamical systems into the so-called non-linear observer canonical form. Moreover, an algorithm used to construct such a change of coordinates is given. Based on this form, the authors can design an observer with a linear error dynamic. This study is motivated by the results obtained by Krener and Respondek in 1985, where they studied the existence of change of coordinates for a class of multi-outputs non-linear systems. In 1989, Xia and Gao improved their work. The objective of this study is to show that the counterexample given by Xia and Gao for one result obtained by Krener and Respondek is not a real counterexample. For this purpose, they consider the case where the difference between any two observability indices is not larger than 1. Moreover, they allow a diffeomorphism on the outputs in the obtained non-linear observer canonical form.

show abstract

Section: Introductionmentioning

confidence: 80%

“…Moreover, instead of solving a set of partial differential equations, we give a general method to transform the systems into the NOCF. [23]): Let us consider the dynamical system of a PM stepper motor given in (17).…”

Section: Example Of Chiasson and Novotnakmentioning

confidence: 99%

Observer design for a class of non‐linear systems with linearisable error dynamics

Boutat

Liu

2015

IET Control Theory & Applications

View full text Add to dashboard Cite

show abstract

“…This paper presents a new method to design nonlinear observer for PMSM. The strategy is based on constructing an extended output depending observer normal form through a change of coordinates [13], which enables us to apply the existing observers in the literatures, such as those presented in [14], [15], [16], [17].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear observer for the PM synchronous motor

Tami

Boutat

Zheng

2014

2014 American Control Conference

View full text Add to dashboard Cite

Abstract-This paper deals with nonlinear states and parameters estimation of a permanent magnet synchronous motor (PMSM) without mechanical sensors. In the proposed method, a change of coordinates is established in order to transform the PMSM system into an observer form which enables us to apply an adaptive or a high gain observer. Then the load torque, rotor speed and some parameters can be estimated from both measurable currents and voltages. The efficiency of the proposed methods is illustrated by the simulation results.

show abstract

“…Position can be generally obtained by an additional encoder, and velocity is estimated by observer. Several velocity observer design methods have been proposed [9], [12], [15]. A reduced order observer was proposed to estimate the velocity by phase currents and position in [9].…”

Section: Introductionmentioning

confidence: 99%

Lyapunov-based control in microstepping with a nonlinear observer for permanent magnet stepper motors

Kim

Choi

Chung

2010

Proceedings of the 2010 American Control Conference

View full text Add to dashboard Cite

In this paper, we propose a Lyapunov-based control with a nonlinear observer in microstepping for permanent magnet stepper motors (PMSMs). Given static inputs to a PMSM, stability of the equilibrium points is studied in the sense of Lyapunov stability and their local asymptotic stability is proved using LaSalle's theorem. From the stability analysis the principle of microstepping is verified. The Lyapunov-based controller was developed to regulate the desired phase current errors. For the implementation of the proposed controller a nonlinear observer is also designed using the Lyapunov method to estimate the full state of PMSM. And we analyze the stability of the closed-loop system. The Lyapunov-based controller and nonlinear observer do not require any transformation so that it could reduce the commutation delay. The proposed method is validated via experiments and its tracking performance was compared with that of the conventional microstepping. We used two position profiles to evaluate the performance of the proposed method. Overall more than a 40% improvement in tracking error was obtained. Furthermore, we achieved improved uniformity in the tracking error during the constant velocity period.

show abstract

Nonlinear speed observer for the PM stepper motor

Cited by 48 publications

References 10 publications

Observer design for a class of non‐linear systems with linearisable error dynamics

Observer design for a class of non‐linear systems with linearisable error dynamics

Nonlinear observer for the PM synchronous motor

Lyapunov-based control in microstepping with a nonlinear observer for permanent magnet stepper motors

Contact Info

Product

Resources

About