Getting Started with SimulinkOverview of MATLAB Modeling/ Simulation gEnvironmentOrientation 2008 | Jamie Cassels, QC, Vice-President Academic and Pro

Complex System Model from Basic Building Blockspy gVehicle and ControlVehicle and Control

Simulink Library (blocks)Simulink Library (blocks)

Key Multiphysics Modeling ToolboxKey Multiphysics Modeling Toolbox Stateflow™Design and simulatestate machinesandStateflowDesign and simulate state ma

Modeling Dynamic Systems in SimulinkModeling Dynamic Systems in SimulinkModeling Dynamic Systems in SimulinkModeling Dynamic Systems in SimulinkModeli

SimDriveline™ModelSimDriveline Model

Simulink Online HelpSimulink Online HelpSimulink Getting Started GuideSimulink Getting Started Guide Simulink User’s Guide Simulink Reference Wri

Getting started with SimulinkAn introductory tutorialAn introductory tutorialES205 Analysis and Design of Engineering SystemsES205 Analysis and Design

Launch SimulinkIn the MATLAB command window,at the >> prompt, typesimulinkat the >> prompt, type simulinkand press  Enter

MATLAB/Simulink ApplicationsMATLAB/Simulink ApplicationsMechanical SystemMechanical System AutomotiveControlsControls RoboticsAerospace and Def

Create a new model Click the new-model icon in the upper left corner to start a new Simulink file Select the Simulink icon to obtain elements of the

Your workspaceLibrary of elements Model is created in this window

Save your model You might create a new folder, like the one shown below, called simulink_files Use the .mdl suffix when saving

Example 1: a simple model Build a Simulink model that solves the differential equation qInitial conditiontx 2sin31)0(xInitial condition First,

Simulation diagram Input is the forcing function 3sin(2t)Output is the solution of the differentialOutput is the solution of the differential equati

Select an input blockDrag a Sine Waveblock from the Sourceslibrary to the model window

Select an operator blockDrag an Integratorblock from the Continuouslibrary yto the model window

Select an output blockDrag a Scopeblock from the Sinkslibrary to the modelSinkslibrary to the model window

Connect blocks with signals Place your cursor on the output port (>) of pp ()the Sine Waveblock Drag from the Sine Waveoutput to the Integratorin

Select simulation parametersDouble-click on theSine Wavethe Sine Waveblock to set amplitude = 3 and freq = 2.This p od ces theThis produces the desire

Model-Based DesignModelBased Design Faster, more cost-effective development of dynamic systems (e.g. control systems, vehicles, etc.)  A system mode

Select simulation parametersDouble-click on theIntegratorthe Integratorblock to set initial condition = -1.This sets our IC x(0) = -1.

Select simulation parametersDouble-click on theScopeto viewthe Scopeto view the simulation results

Run the simulationIn the model window from thewindow, from the Simulationpull-down menu, ,select StartView the output x(t) in the Scopewindowwindow.

Simulation resultsTo verify that this plot represents the ppsolution to the problem, solve the equation analyticallyequation analytically. The analyti

Example 2 Build a Simulink model that solves the following differential equation (ODE)gq() 2nd-order mass-spring-damper systemzero ICszero ICs in

Create the simulation diagram  On the following slides:The simulation diagram for solving theThe simulation diagram for solving the ODE is created

(continue) First, solve for the term with highest-order derivativeMake the lefthand side of this equationkxxctfxm)(Make the left-hand side of

Drag a Sumblock from the MathlibraryteatbayDouble-click to change the block parameters to rectangularand+rectangularand + --

(continue) Add a gain (multiplier) block to eliminate the coefficient and produce pthe highest-derivative alonexmm1xsumming block

Drag a Gainblock from the MathlibraryteatbayThe gain is 4 since 1/m=4.Double-click to change the block parameters.Add a titleAdd a title.

MATLAB Codes – Simulink Block & Block Parameters

(continue) Add integrators to obtain the desired output variablepxm11 1xxxmsumming blockssblock

Drag Integratorblocks from theContinuouslibrarythe ContinuouslibraryInitial Conditions (ICs) on the integrators are zero.Add a scope from the Sinkslib

(continue) Connect to the integrated signals with gain blocks to create the terms on the right-hand side of the EOMxm111xxxxmm1summings1s1xxxxc

Drag new Gainblocks from the MathlibraryoteatbayTo flip the gain block, select it and chooseFlip Blockin theand choose Flip Blockin the Formatpull-dow

Complete the model Bring all the signals and inputs to the summing block. Check signs on the summer.xmm1s1s1xxf(t)input+--xx(t)outputcxck-xou

Double-click on Stepblock to set parameters For ato set parameters. For a step input of magnitude 3, set Final valueto 3

Final Simulink model

Run the simulation

ResultsUnderdamped response.Overshoot of 0.5.Final value of 3 (gain = 1).(g )Is this expected?System design – adjust m, c, kvalues to get different sy

Paperandpencil analysisPaper-and-pencil analysis based on the equations of motion Standard form)(1tfkxxkcmkx Nat’l freq.0.2mkn Damping rat

Modeling ProcessModeling ProcessOn Paper:On Paper:1 Defining the System2 Identifying System Components2 Identifying System Components3 Modeling the Sy

Check simulation results Damping ratio of 0.5 is less than 1. Expect the system to be underdamped.py p Expect to see overshoot.Static gain is 1.St

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The leading environment for system-levelmodeling, simulation, and verification ofcommunications and electronic systems• Multidomain system-level desig

From Research to Development and TestFrom Research to Development and TestFrom Research to Development and TestFrom Research to Development and TestSY

Graphical Layout of Functional ModulesGraphical Layout of Functional Modules