# 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**

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

**Lesson 2**

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

**Lesson 3**

- Create transfer functions of translational mechanical systems
- Create transfer functions of rotational mechanical systems
- Define linearly independent motion, degrees of freedom

**Lesson 5**

- Create transfer functions of compartment models
- Create transfer functions of hydraulic systems

**Lesson 6**

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

**Lesson 7**

- Convert a transfer function to state space and vice versa
- Convert a transfer function to a DE and vice versa

**Lesson 8**

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

**Lesson 9**

- Write the DE for a first order system
- 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
- Sketch the response of a first-order system from its equation or LaPlace transform
- Calculate the steady state value of a first-order system, given its DE or LaPlace transform
- Sketch the response of a first-order system to an impulse or step input

**Lesson 10**

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