ECE 382/Spring 2009/Test 2

This page is the review sheet for Test II for ECE 141 in Spring 2009:

Coverage

The sections listed by chapter below may be in the closed or open part of the test; the computational tools will only be in the open part.

Chapter III

• Set up state space equations for electrical, mechanical, and hybrid systems.
• Set up phase space equations from a differential equation or transfer function.

Chapter IV

• Determine characteristics of the step response for a first-order

system or design a system to achieve those characteristics. Specifically, rise time and settling time.

• Determine the characteristics of the step response for a second-order system or design a system to achieve those characteristics. Specifically for a second-order underdamped system: rise time, peak time, %OS, settling time, damping, natural frequency, and damped frequency.
• Know when extra poles and zeros interfere with the assumptions of a dominant pair of poles.

Chapter V

• Translate a block diagram into a signal flow graph.
• Determine the transfer function of a signal flow graph.

Chapter VI

• Generate a Routh array for a transfer function and determine regions of stability. Be sure to know how to handle rows with all zeros and rows with leading zeros.
• Find the value of one or more free parameters to obtain marginal stability and the frequency of oscillation for marginal stability.

Chapter VII

• Find system type, static error constants, and steady state error for unity feedback systems.
• Determine equivalent forward transfer function for systems not fitting the unity feedback paradigm, and find system type, static error constants, and steady state error for those systems.
• Design a system satisfying both stability and error considerations.

Computational Tools

• MATLAB: Determine step response characteristics for a system using the step command.
• MATLAB: Use tf and zpk functions to set up transfer functions.
• MATLAB: Use parallel and feedback functions along with algebra to generate transfer functions of cascade, parallel, feedback, and more complex systems.
• MATLAB: convert between polynomial ratio and zero-pole-gain representations of transfer functions.
• MATLAB: Model a system using Simulink and make a plot of the input and output of the system.
• MATLAB: Model a system using the {\tt lsim} command and determine steady-state error graphically.
• MAPLE: Solve and simplify transfer functions.

Community Equations

For the closed part of the test, I will provide an equation sheet. Trick is, you have to generate it. Put your requests for equations you want on the discussion portion of this page no later than 11:59PM on Tuesday, March 24th. I will approve or deny that evening and post the final set by Wednesday, March 25th. I will make the copies of the equations a part of the test; you do not need to bring your own sheet.

Questions

Post your questions by editing the discussion page of this article. Edit the page, then scroll to the bottom and add a question by putting in the characters *{{Q}}, followed by your question and finally your signature (with four tildes, i.e. ~~~~). Using the {{Q}} will automatically put the page in the category of pages with questions - other editors hoping to help out can then go to that category page to see where the questions are. See the page for Template:Q for details and examples.

References