## Exam Date: 04/13/23

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

**Lesson 11**

- Calculate the magnitude and phase of a transfer function given a frequency
- Convert phase angle to time shift and vice versa
- Use magnitude and phase to predict the relative shape of input and output waveforms
- Convert magnitude to dB and vice versa
- Read values from a phase and magnitude plot

**Lesson 12**

- Calculate the cutoff frequency, time constant, and DC gain of a first-order system
- Calculate bandwidth of first and second-order systems
- Explain effect of $\zeta$ on the frequency response of second-order systems
- Design filters with specific cutoff frequencies
- Explain what a filter does
- Calculate the location of the peak in the frequency response of a second-order system

**Lesson 13**

- Manipulate block diagrams
- Define and calculate open-loop gain, loop gain, open-loop transfer function, and closed-loop transfer function
- Draw control system diagrams from a description of a system

**Lesson 14**

- Find the equilibrium point of static control systems graphically and with MATLAB
- Implement static control systems in Simulink

**Lesson 15**

- Explain the difference between first- and second-order transient system responses with and without feedback
- Explain the effect controller gain has on system output for first- and second-order systems
- Calculate the output and/or transfer function of a system with feedback and a disturbance
- Calculate $\tau$ for first-order systems with feedback
- Calculate the steady state value for first- and second-order systems with feedback and a disturbance, given a step input

**Lesson 16**

- Calculate $\zeta$ and $\omega_n$ for 2nd order systems with feedback and disturbances if the controller is P, PD, or PID
- Calculate the steady-state output of a system given a step input and a P, PD, or PID controller
- Describe the effect a P, PD, or PID controller has on the system response

**Lesson 17**

- Calculate steady-state error for a system with or without a disturbance for any input
- Determine system type and use this information to infer characteristics of the system
- Calculate the error constant of a system

**Lesson 18**

- Define stability in terms of BIBO
- Describe how gain, and the controller, can make a system unstable
- Determine if a system is stable
- Generate a root locus plot for a system
- Determine the pole location on a root locus plot for a specific $K$ (gain) value
- Determine a maximum $K$ (gain) value for a system before it becomes unstable
- Determine system response given gain, or vice versa
- Calculate the gain and phase margin of a system