aamir's title defense

8/7/2019 Aamir's Title defense

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2/19

Proposer:

Muhammad Aamir Akram


3/19

Advisor:

Dr Vali Uddin Abbas

Associate Professor

GEC Members

` Cdr Dr. M. Junaid KhanAssistant Professor

` Cdr Dr. Muhammad Farhan

Assistant Professor

` Dr. Arshad AzizAssistant Professor


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` Objective

` Introduction

` Literature Reviewed

`

Problems Identified` Our Strategy

` Scope of Work

` References


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` Design of Sliding Mode Controller for Electromagnetic

Levitation System Based on Feedback Linearization (for

suspended ball system).


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` Magnetic levitation is the process of levitating an object

by exploiting magnetic fields.

If the magnetic force of attraction is used, it is

known as magnetic suspension.

If magnetic repulsion is used, it is known as

Magnetic levitation.


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21 ( / )2

z K K K f L z i! x x

Electromagnetic Force

Equation

Where= Applied force

= Inductance

= Air gap

= Applied Current

zf

kL

kz

ki


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Which yields

2

2

2 220

2

1( / )

2

12

( ) ( )4

z K K K

k k

m m k k

k k

f L z i

g i

T A i iK

z z

Q

! x x

!

! !

k

mmk

z

ATL

2

2

0Q

!

= Permeability of vacuum

Tm=No. of turns of winding

Am= Area of magnet core

Where


9/19

` Feedback Linearization is the approach involves atransformation of the nonlinear system into equivalent linearsystem through a change of variables and suitable controlinput.

` Completely different from conventional linearization, becausefeedback linearization is achieved by exact statetransformation and feedback.


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` It is a nonlinear control method that alters the dynamics

of a nonlinear system by application of a high frequency

switching control.

` SMC Involves following two steps:

Selection of a Hypersurface

Finding Feedback Gains


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PI and PID Controller Technique

Phillip James Vallence, Digital Control of

Levitation, Virgina Polytechnic Institute and State

University, 2001

Switched mode Power Amplifier

Lee, B.S., Linear Switched Reluctance Machine

Drives with Electromagnetic Levitation and

Guidance Systems, Ph.D. Thesis, Virginia Tech,

2000


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` Feedback Linearization

J.k. Hedrick and A. Girard, Control of Nonlinear

Dynamic System: Theory and Applications

2005.` Sliding Mode Control

R.Saravana Kumar Sliding Mode Control of

Induction Motor using Simulation Approach IJCSNS

October 2009.


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1. Slow step response of entire system

2. Open loop instability

3. Nonlinear i2 dependence on force

4. Nonlinear inductance dependence on air gap5. Enhancement in effect of noise

6. Not so much energy efficient

7. Generates switching related electromagnetic noise


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` Feedback Linearization

I. Algebraically Transforms Nonlinear System

Dynamics into Linear Systems

II. Easier Way of Transforming Original System Model

into Equivalent Ones of a Simpler Form

` Sliding Mode Control

I. Reduces the effect of Noise

II. Main strength is its robustness .


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` By using feedback linearization of electromagnetic

levitation systems will be done by exact state

transformation.

` Sliding Mode Control strategy will be used to design a

controller .

` Simulation and Results will be verified on MATLAB.

` Try to implement on hardware depends upon the

availability


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[1] Phillip James Vallence, Digital Control of Levitation,

Ph.D. Thesis, Virgina Polytechnic Institute and State

University, 2001

[2] Lee, B.S., Linear Switched Reluctance Machine Drives

with Electromagnetic Levitation and Guidance

Systems, Ph.D. Thesis, Virginia Tech, 2000

[3] W.G. Hurley and W.H. Wolfle, Electromagnetic design

of a magnetic suspension system, in IEEE Trans. May

1997


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[4] Han-Kyung Bae, Byeong-Seok Lee, Praveen

Vijayraghavan and Krishnan, R., "Linear Switched

Reluctance Motor: Converter and Control", IEEE

Transactions on Industry Applications, Sept./Oct. 2000.

[5] R.Saravana Kumar Sliding Mode Control of Induction

Motor using Simulation Approach IJCSNS October

2009


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[6] Subrata Banerjee, Dinkar Prasad, A Study of

Different Possible Switched Mode Chopper Circuits

for Multi-Magnet Based DC Electromagnetic

Levitation System, Emerson Network Power, India,

PEDS 2007.

[7] LIU DE-sheng, LI Jie, ZHANG Kun, The Design of

the Nonlinear Suspension Controller for EMS

Maglev Train Based on Feedback Linearization[J],

Journal of National University of De Fense

Technology, 2005


19/19

[8] Adrian-Vasile Duka, Modelling of an Electromagnetic

Levitation System using a Neural NetworkPetru Maior

University of Tg. Mure, 2010 - IEEE

[9] R.-J. Wai and J.-D. Lee, Modelling of an

Electromagnetic Levitation System using a Neural

Network, IEE Proc.-Electr. Power Appl., November 2005

aamir's title defense

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