# Controls/Fall 2015/Test 1

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## Contents

## Previous Tests

Previous Controls tests are available at Dr. G's Big Box of Random.

## IMPORTANT NOTE!

Test I this year is closed-book and will **not** have a computational component to it.

## Equation Sheet

There will not be an equation sheet for Test I. You need to know the basic Laplace properties and the MOAT. The typical transfer function between a motor's shaft angle and the applied voltage **will** be given.

## Test I Fall 2015 Coverage

This test comes primarily from Chapters 1 and 2. Material from Homework 1-3 will be covered. The test is similar to Test 1's from 2007-2010 with the exceptions that you will not be asked to determine transient characteristics and you will not be required to solve differential equations using classical methods.

- Differential Equations: be able to solve using Unilateral Laplace Transforms. Be able to take the forward and inverse Laplace Transform of MOAT-able signals.
- Transfer Functions: Be able to determine impulse response, step response, and response to any MOAT-able signal.
- Circuits: be able to use the Mesh Current method to find equations for mesh currents in planar circuits. You should be able to express the equations in the time and frequency domains.
- Circuits 2: be able to use Node Voltage method to find equations for electrical quantities in circuits with operational amplifiers. You should be able to express the equations in the time and frequency domains.
- Translational systems: be able to find the equations of motion for a translational mechanical system involving springs, masses, dampers, and viscous friction. You should be able to express the equations in the time and frequency domains.
- Rotational systems: be able to find the equations of motion for a rotational mechanical system involving torsional springs, inertias, rotational dampers, and rotational viscous friction. You should be able to express the equations in the time and frequency domains.
- Gears: be able to find the equations of motion for systems involving gears - note that the gears may be rotation-to-rotation or rotation-to-translation.
- Electromechanical: be able to use the equation for a potentiometer to relate an electrical system to a rotational mechanical system.
- Motors: be able to determine the transfer function for a system involving a DC motor but not involving springs; also be able to determine motor parameters if given sufficient information such as stall torque, no-load rotational speed, and the like.

## Similar Problems from Old Tests 1's

- Spring 2005 ECE 141: II, III(1)
- Spring 2006 ECE 141: All
- Spring 2007 ECE 141: All
- Spring 2008 ECE 141: No computer-based, I(a), II(a,b), III, IV(a)
- Spring 2009 ECE 141: No computer-based, I(a), II(a), III(a,b), IV(a)
- Spring 2010 ECE 141: I, II, III, IV, V
- Spring 2011 Controls: I, II, III, V(a)
- Spring 2012 Controls: I, II, IV(a)

## Specifically Not On The Test

- Differential equations using "classical" methods
- Maple
- MATLAB
- State Space