Design and Analysis of Grasshopper Evolutionary Technique Tuned Fractional-Order Proportional Integral Derivative for Magnetic Levitation System

2021 ◽  
pp. 459-472
Author(s):  
Sunita S. Biswal ◽  
Dipak R. Swain ◽  
Pravat Kumar Rout
Keyword(s):  
Fractional Order ◽  
Magnetic Levitation ◽  
Proportional Integral Derivative ◽  
Proportional Integral ◽  
Levitation System ◽  
Evolutionary Technique ◽  
Magnetic Levitation System

scholarly journals Proportional-Integral-Derivative Gain-Scheduling Control of a Magnetic Levitation System

2017 ◽  
Vol 12 (5) ◽  
pp. 599 ◽  
Author(s):  
Claudia-Adina Bojan-Dragos ◽  
Radu-Emil Precup ◽  
Marius L. Tomescu ◽  
Stefan Preitl ◽  
Oana-Maria Tanasoiu ◽  
...  
Keyword(s):  
Magnetic Levitation ◽  
Design Procedure ◽  
Gain Scheduling ◽  
State Feedback Control ◽  
Proportional Integral Derivative ◽  
Laboratory Equipment ◽  
Proportional Integral ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Gain Scheduling Control

The paper presents a gain-scheduling control design procedure for classical Proportional-Integral-Derivative controllers (PID-GS-C) for positioning system. The method is applied to a Magnetic Levitation System with Two Electromagnets (MLS2EM) laboratory equipment, which allows several experimental verifications of the proposed solution. The nonlinear model of MLS2EM is linearized at seven operating points. A state feedback control structure is first designed to stabilize the process. PID control and PID-GS-C structures are next designed to ensure zero steady-state control error and bumpless switching between PID controllers for the linearized models. Real-time experimental results are presented for validation. 

Fractional order Proportional-Integral-Derivative Controller parameter selection based on iterative feedback tuning. Case study: Ball Levitation system

2017 ◽  
Vol 40 (6) ◽  
pp. 1776-1787 ◽  
Author(s):  
Mohsen Rezaei Estakhrouiyeh ◽  
Aliakbar Gharaveisi ◽  
Mohammadali Vali
Keyword(s):  
Fractional Order ◽  
Proportional Integral Derivative ◽  
Proportional Integral Derivative Controller ◽  
Fractional Order Calculus ◽  
Proportional Integral ◽  
Levitation System ◽  
Fractional Order Controller ◽  
Hardware In Loop ◽  
Iterative Feedback

In the present research, Iterative Feedback Tuning (IFT) algorithm is employed to tune a type of fractional order Proportional-Integral-Derivative (PID) [Formula: see text] controller. For this purpose, fractional order calculus is introduced and some important principles are represented. Then, IFT algorithm is presented in a general form. Following it, IFT algorithm is derived to tune the specific type of PID. The relevant update law is calculated for the fractional order controller. Finally, the proposed algorithm is tested on a Hardware in Loop (HIL) system, that is, Ball Levitation (BL) system, and the efficiency of the proposed method is verified via experiments.

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