712 Magnetic Levitation System Control by the Method of Nonlinear Model Following Control

2005 ◽  
Vol 2005.41 (0) ◽  
pp. 279-280
Author(s):  
Shigenori OKUBO
Keyword(s):  
Nonlinear Model ◽  
Magnetic Levitation ◽  
System Control ◽  
Model Following Control ◽  
Model Following ◽  
Levitation System ◽  
Magnetic Levitation System

Control Theory in Practice: Magnetic Levitation

2010 ◽  
Author(s):  
John Rogers ◽  
Robert Rabb
Keyword(s):  
Control Theory ◽  
Magnetic Levitation ◽  
The United States ◽  
Steel Ball ◽  
System Control ◽  
Development Effort ◽  
Sensors And Actuators ◽  
Hands On ◽  
Levitation System ◽  
Magnetic Levitation System

A device that levitates a steel ball beneath an electromagnet is used for educational purposes at the United States Military Academy, West Point, New York. Students in the course “Mechatronics” engage in a set of laboratory exercises with the device to reinforce classroom learning. Mechatronics is a senior-level course that introduces the interdisciplinary design of smart systems. Students in the electrical engineering and mechanical engineering programs take the course together, and the material is taught by a team of instructors from both academic departments. The Magnetic Levitation experiments are the primary means of teaching the classical analog control portion of the course. Other aspects of the course involve interfacing microcontrollers with sensors and actuators, and digital control. The magnetic levitation device fits easily on a two-person workbench and requires a power supply and oscilloscope. An infra-red emitter / detector pair is used to sense ball position for a feedback compensator. Students first learn classical control theory in a co-requisite course, “Dynamic Modeling and Control.” Modeling principles are introduced in the context of the magnetic levitation system as an unstable plant to be controlled. The system can be simulated by models ranging from simply linear to more complex to teach the trade-off between model fidelity and model development effort. The students derive the nonlinear governing equations and then linearize the equations and develop the transfer function of the plant. Students design a compensator and simulate the resulting stabilized system with Matlab and Simulink software. Students build their compensator on a solderless project board to levitate the steel ball. A proven lead-type compensator using two resistors and a capacitor is readily provided to students that struggle with their own compensator design so that all teams may enjoy the fruit of a successful experiment. As a laboratory aid, the magnetic levitation system allows for basic and advanced approaches to both theoretical study and practical investigation of a nonlinear, unstable system control. The comparison of measured results to predicted behavior leads to insight about how the physical system is modeled by mathematics. Students write a case study describing the system in detail including characterization of the sensors and actuators. Instructors report that the hands-on nature motivates students to excel. Surveyed students cite the hands-on activities as relevant applications that help develop deeper understanding and greater appreciation for the concepts learned in the classroom. The students are motivated to learn by the fascination of defying gravity.

scholarly journals Comparison of Nonlinear and Linear Controllers for Magnetic Levitation System

2021 ◽  
Vol 11 (17) ◽  
pp. 7795
Author(s):  
Danica Rosinová ◽  
Mária Hypiusová
Keyword(s):  
Nonlinear Control ◽  
Discrete Time ◽  
Feedback Linearization ◽  
Magnetic Levitation ◽  
Control Design ◽  
Pole Placement ◽  
System Control ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Pole Placement Controller

Nonlinear system control belongs to advanced control problems important for real plants control design. Various techniques have been developed in this field. In this paper we compare two different approaches to a nonlinear unstable Magnetic levitation system control. The first control design approach further develops our recent results on robust discrete-time pole-placement, based on convex DR-regions. The second studied approach is based on feedback linearization and the simplified development of the corresponding nonlinear control law is provided. Both approaches are compared and evaluated. The efficiency of robust discrete-time pole-placement controller is shown as well as its competitiveness in comparison with nonlinear control for Magnetic levitation system.

scholarly journals Neural Network Based on Orthogonal Polynomials Applied in Magnetic Levitation System Control

2017 ◽  
Vol 23 (3) ◽  
Author(s):  
Miroslav Milovanović ◽  
Dragan Antić ◽  
Saša S Nikolić ◽  
Staniša Perić ◽  
Marko Milojković ◽  
...  
Keyword(s):  
Neural Network ◽  
Orthogonal Polynomials ◽  
Magnetic Levitation ◽  
System Control ◽  
Levitation System ◽  
Magnetic Levitation System

Application of non-linear control to a magnetic levitation system

2017 ◽  
Vol 11 (22) ◽  
pp. 1055-1063
Author(s):  
Rafael Antonio Acosta Rodriguez ◽  
Octavio Jose Salcedo Parra ◽  
Giovanny Mauricio Tarazona Bermudez
Keyword(s):  
Nonlinear Model ◽  
State Feedback ◽  
Magnetic Levitation ◽  
State Feedback Control ◽  
Linear Control ◽  
Control Law ◽  
State Variables ◽  
Levitation System ◽  
Perturbation Vector ◽  
Magnetic Levitation System

This paper evaluates the nonlinear control applied to a magnetic levitating plant, it is explained in detail the nonlinear model of the plant, the state variables, perturbation vector. A state feedback control was triggered by applying a state observer. Finally it was modeled under the control law found in the presence of disturbances.

Sign in / Sign up

Export Citation Format

Share Document