Position control of DC motor using fractional order controller

2013 ◽  
Vol 62 (3) ◽  
pp. 505-516 ◽  
Author(s):  
Andrzej Ruszewski ◽  
Andrzej Sobolewski
Keyword(s):  
Fractional Order ◽  
Position Control ◽  
Dc Motor ◽  
Phase Margin ◽  
Pd Controller ◽  
Simple Method ◽  
Stability Regions ◽  
Fractional Order Controller

Abstract The paper presents the problem of position control of DC motor with rated voltage 24 V loaded by flywheel. The fractional order PD controller implemented in National Instruments NI ELVIS II programmed in LabView is used for controlling. The simple method for determining stability regions in the controller parameters space is given. Knowledge of these regions permits tuning of the controller and ensures required the phase margin of the system

Observability of speed DC motor with self-tuning fuzzy-fractional-order controller

2022 ◽  
pp. 157-179
Author(s):  
Arezki Fekik ◽  
Mohamed Lamine Hamida ◽  
Hamza Houassine ◽  
Hakim Denoun ◽  
Sundarapandian Vaidyanathan ◽  
...  
Keyword(s):  
Fractional Order ◽  
Dc Motor ◽  
Self Tuning ◽  
Fractional Order Controller

scholarly journals D-decomposition technique for stabilization of Furuta pendulum: fractional approach

2016 ◽  
Vol 64 (1) ◽  
pp. 189-196 ◽  
Author(s):  
P.D. Mandić ◽  
M.P. Lazarević ◽  
T.B. Šekara
Keyword(s):  
Fractional Order ◽  
Closed Loop ◽  
Inverted Pendulum ◽  
Parameter Dependence ◽  
Pd Controller ◽  
Closed Loop System ◽  
Decomposition Approach ◽  
Stability Regions ◽  
The Stability ◽  
Made In

Abstract In this paper, the stability problem of Furuta pendulum controlled by the fractional order PD controller is presented. A mathematical model of rotational inverted pendulum is derived and the fractional order PD controller is introduced in order to stabilize the same. The problem of asymptotic stability of a closed loop system is solved using the D-decomposition approach. On the basis of this method, analytical forms expressing the boundaries of stability regions in the parameters space have been determined. The D-decomposition method is investigated for linear fractional order systems and for the case of linear parameter dependence. In addition, some results for the case of nonlinear parameter dependence are presented. An example is given and tests are made in order to confirm that stability domains have been well calculated. When the stability regions have been determined, tuning of the fractional order PD controller can be carried out.

scholarly journals Stability Regions of Fractional First Order Controllers Applied to Fractional Order Delay Systems

2021 ◽  
Vol 15 ◽  
pp. 86-90
Author(s):  
Karim Saadaoui
Keyword(s):  
Fractional Order ◽  
Real Root ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Complex Root ◽  
Stability Regions ◽  
First Order ◽  
The Stability ◽  
Fractional Order Controller ◽  
Fractional Controller

This paper focuses on the problem of stabilizing fractional order time delay systems by fractional first order controllers. A solution is proposed to find the set of all stability regions in the controller’s parameter space. The D-decomposition method is employed to find the real root boundary and complex root boundaries which are used to identify the stability regions. Illustrative examples are given to show the effectiveness of the proposed approach, and it is remarked that the stability region obtained for the fractional order controller is larger than the non-fractional controller.

scholarly journals Estrategia de control para el problema de zona muerta en procesos electromecánicos

2021 ◽  
Author(s):  
◽  
Cándido Arturo Pérez Gómez
Keyword(s):  
Permanent Magnet ◽  
Position Control ◽  
Dead Zone ◽  
Double Effect ◽  
Dc Motor ◽  
Pi Controller ◽  
Pd Controller ◽  
Control Scheme ◽  
Dc Motor Control ◽  
Permanent Magnet Dc Motor

This work presents the identification and validation of a non-linear model of a permanent magnet DC motor, which includes the phenomenon of dead zone and friction, as well as the design of a linear position control for this type of device. Its main objective is to reduce the effects that these non-linearities produce in the position control of electric motors. The proposed controller has an integral double effect and a lead compensator. It is implemented in real time, through a digital control scheme, in the Quanser DC Motor Control Trainer system, which includes a Maxon brand permanent magnet DC motor. The proposed controller is compared to two of the most widely used strategies to reduce the dead zone problem: control with the use of the “inverse” dead zone and switched control. For the first one, a PI controller plus the inverse dead zone is used, while for the second one, a switched PI-PD controller is designed. The responses of both controllers are analyzed with the numerical tool Matlab®/ Simulink™.

Lateral control of an Aerosonde facing tolerance in parameters and operation speed: performance robustness study

2018 ◽  
Vol 41 (8) ◽  
pp. 2319-2327 ◽  
Author(s):  
S Seyedtabaii ◽  
S Zaker
Keyword(s):  
Fractional Order ◽  
Random Systems ◽  
Open Loop ◽  
Unmanned Aircraft ◽  
Phase Margin ◽  
Operation Speed ◽  
Aerodynamic Parameters ◽  
Fractional Order Controller ◽  
High Level ◽  
Performance Robustness

The aim is to acquire low variance roll responses (performance robustness) of control of an Aerosonde despite the high level of tolerances in aerodynamic parameters and working speed. In this respect, fractional-order proportional plus integral and derivative (FOPID) is a valuable option; others are H∞ and μ synthesis. FOPID can tolerate system uncertainty by maintaining a wide open-loop flat phase margin band. All three methods are worked out using the linearized system model and deliver (at least initially) high-integer-order controllers. The uncertainty level is not explicitly considered in H∞, but it may be presented in the μ synthesis and FOPID. The uncertainty presentation in the modified fractional-order controller (mFOC) design is through a Φd curve. The Φd curve is fitted to the mean of the upper and lower bands of the phase margins distribution map of the random systems. It is shown that the mFOC design perfectly secures the desired phase margin flatness. The controllers are applied to the roll of an unmanned aircraft vehicle with a 30% tolerance in the aerodynamic parameters, and operation speed and robustness in performance is evaluated. The simulation results indicate that the mFOC design renders more coherent responses than what H∞ and µ synthesis design deliver. This is confirmed through extensive simulations.

Development and implementation of an FPGA based fractional order controller for a DC motor

Mechatronics ◽  
2013 ◽  
Vol 23 (7) ◽  
pp. 798-804 ◽  
Author(s):  
Cristina I. Muresan ◽  
Silviu Folea ◽  
George Mois ◽  
Eva H. Dulf
Keyword(s):  
Fractional Order ◽  
Dc Motor ◽  
Fractional Order Controller
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