# BME 444 - Exam 2 Instructional Objectives

## 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

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

Lesson 12

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

Lesson 13

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

Lesson 14

1. Find the equilibrium point of static control systems graphically and with MATLAB
2. Implement static control systems in Simulink

Lesson 15

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

Lesson 16

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

Lesson 17

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

Lesson 18

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