Overview of models and control methods for step motors and permanent magnet motors

Abstract

This overview is devoted to the description of step motor models and permanent magnet motor models that can be used to design the control law for these devices. These motors are widely used in various practical applications and scientific equipments due to its high accuracy. A number of works on the design of various control laws for these electrical machines are described. The features of each model and the features of obtained considered control laws are given from the point of view of achieving certain physical properties in the obtained closed-loop systems.

A sliding mode technique for reconstruction of unknown control input in linear systems

“…The practical and illustrative examples show the effectiveness of the proposed method. Future work is developing algorithms for unknown input and parameter estimation for nonlinear systems such that considered in [Furtat et al(2022)] to compare the results with [Furtat and Orlov(2020)].…”

Parameter identification of the linear discrete-time stochastic systems with unknown exogenous inputs

“…The results obtained in our paper can be applied to solving various practical problems related to the parameter identification of mathematical models represented by the discrete-time stochastic LTI systems in state space, based on the output-only measurements data. Examples of such applications include, but are not limited to, the tracking problem of a remotely piloted aircraft [He and Liu, 2023], the problem of the position and velocity tracking of multiple vehicles [Yong et al, 2016], the fault identification and state estimation problem when the system dynamics is afflicted by disturbances or faults [Yong et al, 2014], the heat conduction problem [Gillijns and De Moor, 2007c], the estimation, detection and control problems of the DC and step motor systems [Darouach et al, 2003;Yong et al, 2013;Furtat et al, 2023], parameter estimation problems of discrete-time models of the Van der Pol oscillator [Palanthandalam-Madapusi and Bernstein, 2007], the linearized model of a simplified longitudinal flight control system [Hmida et al, 2010], the spring-mass-damper system [Teymouri et al, 2020].…”

Design of optimal-robust control of step motors with partially unknown parameters and disturbances

“…In [Furtat et al, 2022] an overview of mathematical models of step motors is given. Based on these models the some effective existing control laws are considered.…”

“…Based on these models the some effective existing control laws are considered. In [Furtat et al, 2022] it is noted that step motors can be effectively controlled without feedback in the absence of parametric uncertainty and external disturbances. However, under conditions of uncertainty in the motor parameters (for example, changes in resistance, inductance, etc.…”

“…In this paper, we apply some existing results on robust control [Nazin et al, 2007;Furtat et al, 2020], which allow one to calculate the controller parameters with the solution of some optimization problems. At the end of the paper, we will compare the proposed results and some effective methods, selecting from [Furtat et al, 2022].…”