ENGR132_Class12A_Knutson

ENGR132_Class12A_Knutson - Welcome to ENGR132 Numerical...

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Click to edit Master subtitle style ENGR132 Numerical Analysis Section 006 & 021 Prof. Amanda Knutson and GTA Ben Ahn Class 12A Welcome to
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4/24/11 Schedule Class 12A – Numerical Methods Class 12B – Numerical Practice/Project Time Class 13A – Exam Review (optional) Class 13B – Project Prototype Evaluation Class 14A, 14B, 15A – Project Time Class 15B – Final Project, Executive Summary Due Class 16A – Course Wrap up 22
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4/24/11 Announcements Exam II Monday April 11th, 8-9pm, Elliot Hall See Mr. Nyquist if you have a conflict or accommodation Coverage While Loops (week 4) until Numerical Analysis (week 12) GUI Demos online in project folder MEA TA feedback for draft 2 available in the final draft section of MEA portal 33
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4/24/11 Learning Objectives: Numerical Analysis At the end of this topic you will be able to: Define a mathematical function as a text string in MATLAB Describe the process of plotting a mathematical function using fplot Describe the inputs and outputs and MATLAB syntax used in numerical analysis: fminbnd , eval , and fzero Find local minima and maxima of a mathematical function using and Find local zeros of a mathematical function using 44
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4/24/11 Control Systems Common Temperature Control Systems Home thermostats (heater & air conditioner) Incubators (necessary to control the product temperature to within fairly close limits to avoid the product or material being processed being spoilt) Boiler control (automatic temperature controls can keep hot tanks just below boiling temperature) Why design and use control systems? Safety Saves human power 55
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4/24/11 Incubator Temperature Control 66 Obj103 What can you tell about this system based on this graph?
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4/24/11 Incubator Temperature Control 77 Obj104 At 3 minutes the heater gets turned on
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4/24/11 Incubator Temperature Control 88 Obj105 We wish to model the system after the 3 minute point
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4/24/11 What we know… The temperature response for this particular controller is modeled by: Temp is the temperature in degrees Celsius x is the time elapsed after the heater has been turned on in minutes 99 x e x Temp ) sin( 1 3 15 35 - + =
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Plot the Temperature Response in MATLAB 1010 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 22 24 26 28 30 32 34 36 38 40 42 Temperature versus time Time in minutes Temperature, degrees C
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4/24/11 Method A: Plot Using “plot” %set your time vector time = [0:0.05:5.0];
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ENGR132_Class12A_Knutson - Welcome to ENGR132 Numerical...

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