Adaptive state observers for sensorless control of switched reluctance motors

Abstract

In this paper, we address the problem of state observation for sensorless control of switched reluctance motors (SRMs), that is, the regulation of the motor measuring only the voltage and the current of the electrical supply. Instrumental for the construction of the observer is the derivation of algebraic relations, which define regression models, between the unknown rotor flux and the measured quantities. With the knowledge of the flux, it is shown that the mechanical coordinates can be estimated with suitably tailored adaptive nonlinear observers. Replacing the observed states, in a certainty equivalent manner, with a full information stabilizing law completes the sensorless controller design. In contrast with other motors, there is no universally accepted mathematical model to describe the dynamics of SRMs. To widen our target audience, we present the results for four different mathematical models reported in the literature. Simulation results with a precise (finite element) model of the SRM are used to illustrate the performance of the proposed observer and sensorless control.

Control of oscillations in two-rotor cyberphysical vibration units with time-varying observer

“…It allows one to provide estimates of the missing variables based on the results of measurements using the available sensors. Such an approach is in accordance with the current trend in the control technology called "sensorless control" [Lascu et al, 2000;Wang et al, 2019;Bobtsov et al, 2018;Ortega et al, 2019]. In the works on sensorless control the information about the angular speed of the motors is estimated from the results of measurements obtained with the help of stator voltage and current sensors.…”

“…A review of works on the control of drive systems with permanent magnet synchronous motors with incomplete measurement of the vector of variables required to generate a control signal is presented in [Wang et al, 2019]. The other works are devoted to the synthesis of observers to control the systems of magnetic levitation [Bobtsov et al, 2018], sensorless control of switched jet engines [Ortega et al, 2019] etc. In the work [Fradkov et al, 2016] a non-stationary observer was synthesized for a single-rotor vibratory unit, which restored information about the vertical speed of the platform and made it possible to implement an algorithm for passing through the resonant frequency, which was also developed on the basis of the speed gradient method.…”

Global Sliding-Mode Suspension Control of Bearingless Switched Reluctance Motor under Eccentric Faults to Increase Reliability of Motor

“…The 12/14 BSRM's stator and the rotor consist of salient poles. There are two types of windings wound on the stator; one is the suspension force winding to produce suspension force, and the other is torque winding to provide reluctance torque [28]. There are no windings on the rotor.…”

Finite‐time functional interval observer for linear systems with uncertainties

“…For the observer, the accuracy of its estimation is directly proportional to the system model, which implies the existence of uncertain factors will bring great challenges for the observer design. Therefore, many control theories have been introduced to accurately estimate the uncertain systems states, such as sliding model control [1], disturbance‐decoupled control [2], or adaptive control [3]. Nevertheless, as discussed and proposed in [4, 5], it is unrealistic to thoroughly dispose of the effect from the uncertainties on the system by deterministic methods, which leads to further exploration of the observer design methods for uncertain systems.…”