Exam 2 Instructional Objectives

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

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 ζ\zeta, ωn\omega_n, ωd\omega_d, TrT_r, TpT_p, %OS\%OS, and TsT_s of a system
  7. Determine values for components of a system required to meet design specifications

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 ζ\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

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 τ\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 ζ\zeta and ωn\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