1© 2013 The MathWorks, Inc.

Design and Analysis of Systems using MATLAB & Simulink

4th July, 2013

Chennai

2

MathWorks Team Introduction

U. M. Sundar

Manoop Kunhambu

WadirajPuranik

Amit Doshi

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AgendaTime Agenda

10:00 AM – 10:10 AM Welcome Address

10.10 AM – 10:40 AM Key Note Customer Presentation: “Modeling, Simulation & Analysis of induction motor drive using MATLAB/Simulink” – Dr. Paramasivam, Danfoss

10.40 AM – 12:00 AM • Data Analysis using MATLAB• Data analysis• Visualizations• Application deployment

• Mathematical Modeling using MATLAB

12:00 PM – 12:15 PM Break

12:15 PM – 01:15 PM Dynamic System Modeling using Simulink• Modeling Systems Using Equations• Modeling Systems Using Test Data• Modeling Multi-domain Systems using Physical Modeling Tools

01:15 PM – 02:15 PM Lunch

02:15 PM – 03:15 PM Control System Design and Analysis Using MATLAB/Simulink• Interactive Tuning and Design of PID Controllers• Meeting Desired System Response Through Simulation Based Optimization Techniques• Overview of Real-Time Testing Using xPC Target Turnkey Solutions

03:15 PM – 3:30 PM Wrap Up

4© 2013 The MathWorks, Inc.

Data Analysis and Mathematical Modeling using MATLAB

Amit DoshiApplication Engineer - Technical Computingamit.doshi@mathworks.in

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Agenda

Agenda

1. Data Analysis using MATLAB• Data analysis• Visualizations• Application deployment

DEMO - I: Wind Data Analysis Tool for Site Selection

2. Mathematical Modeling using MATLAB• Derive and Solve Governing Equations• Optimize System-Design using MATLAB

DEMO - II: Gantry Crane Modeling

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What is Data Analysis?

Data Analysis is a PROCESS of inspecting, cleaning, transforming and/or modeling data with the GOAL of highlighting useful information and/or supporting decision making.

Some simple examples

According to ‘National Council of Applied Economic Research (NCAER)’ -2010 data240 mi household surveyed

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Data Analysis: Challenges

Diversified nature of data, missing data and data with errors

Time taken for creating analysis algorithms and documentation

Repetitive Analysis on multiple data files

Acquiring field data from files and get it into software

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Data Analysis Workflow

Reporting and Documentation

Outputs for Design

Deployment

Share

Files

Software

Instruments/Devices

Access

Code & Applications

Explore & Discover

Signal Analysis

& Visualization

Algorithm Development

Application Development

Automate

1 2 3

9

Software tool

User’s guide

Goal

Site 1

Site 2

Site ..n

Demo 1: Wind Data Analysis Tool for Site Selection

Raw Data

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Software tool

User’s guide

Goal

Site 1

Site 2

Site ..n

Demo 1: Wind Data Analysis Tool for Site Selection

Raw Data

Import data Extract relevant data Remove error data Analyze the data Create a GUI Create .exe and .pdf

Tasks

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WindAnalysis.exe

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Import and Acquire Real Time Data

Import signals from multimedia files.wav, .wma, .aif, .aifc, .aiff, .mp3,.au, .sn.qt, .mov, .avi, .asf, .asx, .wmv, .mpg, .mp2, .mp4

Generate standard waveforms in MATLABSine, sawtooth, square, chirp, Gaussian pulse, …

Acquire signals from an instrument or deviceSignal analyzers, oscilloscopes, data acquisition boards, audio sound cards, …

Files

Software

Instruments/Devices

Access

Code & Applications

1

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Get Data from Hardware Devices

Data Acquisition ToolboxPlug-in data acquisition devices and sound cards

Instrument Control ToolboxInstruments and RS-232 serial devices

MATLABInterfaces for communicating with everything

Image Acquisition ToolboxImage capture devices

Vehicle Network ToolboxVector CAN bus interface devices

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Proximity Sensor

Torque Sensor

Strain gauge

DAQ card

Example 2

Example 1

Examples: Hardware Devices & MATLAB

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Analyze and Forecast using Data

Explore & Discover

Signal Analysis & Visualization

Algorithm Development

Application Development

Data AnalysisManipulate, preprocess, and manage data Analyze data quickly and accurately with prebuilt math and engineering functions

VisualizationBuilt-in graphics (2D,3D and Volviz), Interactive tools to annotate and customize graphics

Curve & Surface FittingPolynomial fits, Custom fits, Cubic Splines, …

Statistical AnalysisPDF, CDF, Regressors, Tree Baggers, Classifiers, Random number generators, univariate and multivariate analysis…

Neural NetworksNeural network fitting, training, testing,…

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Sharing Data Analysis Results

Reporting and Documentation

Outputs for Design

Deployment

Share Basic ReportingBasic Reporting in .pdf, ppt, doc, html, xml and LATEX formats

Customized ReportingCreate customized reports using MATLAB Report Genrator

Standalone ExecutableDeploy MATLAB Applications as Exe, .dll or .lib using MATLAB Compiler

Create Specific Format ExecutableDeploy MATLAB Applications as .jar, .net or as an excel macro using Builder products

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JavaExcel .NETWeb

Deploying Applications with MATLAB

Give MATLAB codeto other users

Share applicationswith end users whodo not need MATLAB– Stand-alone

executables

– Shared libraries

– Software components

.exe.dll.lib

MATLAB Compiler

MATLAB Builder NE

MATLABBuilder EX

MATLABBuilder JA

Explore & Discover ShareAccess

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MATLABDesktop

End-UserMachine

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22

33Toolboxes

Deploying Applications with MATLAB

MATLAB Compiler

.exe

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Summary: Wind data analysis

ShareExplore and CreateData Access

Got the wind data into MATLAB

Extracted relevant data Removed the Excess data Analyzed the data Encapsulate algorithm in GUI

Created report using ‘publish’

Created MATLAB Application

Products Used: MATLAB MATLAB Compiler

Automate

Software tool

User’s guide

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Data Analysis: Challenges Addressed

Acquiring field data from files and get it into software

Diversified nature of data, missing data and data with errors

Time taken for creating analysis algorithms and documentation

Repetitive Analysis on multiple data files

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Agenda

Agenda

1. Data Analysis using MATLAB• Data analysis• Visualizations• Application deployment

DEMO : Wind Data Analysis Tool for site selection

2. Mathematical Modeling using MATLAB• Deriving and Solving Governing Equations• Optimizing the system design using MATLAB

DEMO: Gantry crane Modeling

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What is Mathematical Modeling?

Use of mathematical language to describe a system or process

Mathematical model

Input Output

Some simple examples

Lift on aircraft wing

2222

L

xLnWq to

l

where ..q = liftL = length of wingx = position along wingW = total aircraft weightn = load factor

Fixed deposit calculator

where ..

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Why develop mathematical models?

Forecast system behaviorPredict and gain insight into system behavior for various “what-if” scenarios– Enables critical decisions

– Reduces the need for testing

Optimize system behaviorIdentify parameters that optimizesystem performance

Design control systems Develop model to represent plantduring control system design

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Mathematical Modeling: Challenges

Getting mathematical concepts to a software model

Optimizing the mathematical model

Calculations take long time to converge

Documenting models for sharing across a whole organization

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Mathematical Modeling with MATLAB

Equations

Data

ShareAccess Explore & Create

Derivation & solving

Optimization

Reports

Applications

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Determine acceleration profile that minimizes payload swing

Demo 2: Modeling Gantry Crane

s25s4

s20s1

s20s1

:sConstraint

2

1

21

f

p

p

ppf

t

t

t

ttt

payload

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Demo 2: Modeling Gantry Crane

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Demo 2: Modeling Gantry Crane

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Approach towards Modeling Gantry Crane

Derive equations of motion

Solving equation of motion using ODE solver

Determine ideal acceleration profile– Constrained minimization

s25s4

s20s1

s20s1

:sConstraint

2

1

21

f

p

p

ppf

t

t

t

ttt

bang-coast-bang

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Determining the Acceleration Profile of Gantry Crane in

MATLAB

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Solving Big Problems

Large data set

Problem

Long running

Computationally intensive

Wait

Load data onto multiple machines that work together in parallel

Solutions

Run similar tasks on independent processors in parallel

Reduce sizeof problem

You could…

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Task 1 Task 2 Task 3 Task 4Task 1 Task 2 Task 3 Task 4

Task Parallel Applications

Time Time

TOOLBOXES

BLOCKSETS

Worker

Worker

Worker

Worker

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Summary: Modeling Gantry Crane

ShareExplore and Create

Equations

Access

Derivation & solving

Define equations in notebook

Equation derivation (symbolic)

Equation solving and optimization

Parallel computation

Share MATLAB files

Report

Optimization

Products Used MATLAB Symbolic Math Toolbox Optimization Toolbox Parallel Computing Toolbox

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Mathematical modeling: Challenges Addressed

Getting mathematical concepts to a software model

Optimizing the mathematical model

Documenting models for sharing across a whole organization

Calculations take long time to converge

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Modeling Higher Order Dynamic Systems

Reduced To 1st Order Differential EquationHigher Order Dynamic Systems

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Questions?

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THANK YOU !!!