# Exam Date: 03/02/23

These instructional objectives provide you with a guide for learning the course material. During the examination you should be able to:

Lesson 1

1. Define control system, system law, transfer function, system properties
2. Explain how engineers and scientists approach systems
3. Define open loop and closed loop control system
4. Define input/reference, controller, summing junction, process/plant, output/controlled variable
5. Draw a block diagram of a system given a description

Lesson 2

1. Convert a differential equation into LaPlace notation, and vice versa
2. List the four standard types of inputs to systems
3. Classify differential equations
4. Create transfer functions of electrical circuits

Lesson 3

1. Create transfer functions of translational mechanical systems
2. Create transfer functions of rotational mechanical systems
3. Define linearly independent motion, degrees of freedom

Lesson 5

1. Create transfer functions of compartment models
2. Create transfer functions of hydraulic systems

Lesson 6

1. Create a state-space representation of linear, time-invariant systems

Lesson 7

1. Convert a transfer function to state space and vice versa
2. Convert a transfer function to a DE and vice versa

Lesson 8

1. Use MATLAB commands or Simulink to simulate the response of a system to inputs
2. Simulate systems using transfer functions, state-space representations, or integrator-blocks

Lesson 9

1. Write the DE for a first order system
2. Determine the time constant, rise time, and settling time of a first-order system from its differential equation, sketch, or LaPlace transform, or vice versa
3. Sketch the response of a first-order system from its equation or LaPlace transform
4. Calculate the steady state value of a first-order system, given its DE or LaPlace transform
5. Sketch the response of a first-order system to an impulse or step input

Lesson 10

1. Write the DE of a second order system
2. Determine the roots of a second order system
3. Classify the output of a second order system as undamped, underdamped, critically damped, or overdamped
4. Write the equation form of the step response of a second order system
5. Calculate the damped frequency of an underdamped second-order system
6. Calculate $\zeta$, $\omega_n$, $\omega_d$, $T_r$, $T_p$, $%OS$, and $T_s$ of a system
7. Determine values for components of a system required to meet design specifications