## EE128: Feedback Control

Fall 2004
Instructor: Prof. Ping Hsu
GSI: Sarah Bergbreiter

### EE128 Homework Assignments

Homework is now due Thursdays at 5PM in 497 Cory. There is a drop box to the left of the door when you come in on top of a filing cabinet. No late homeworks will be accepted unless you arrange things with Sarah beforehand.

#### Homework 2(Solutions).

Problem 2.29

Problem 3.20

On problem 2c, it is only required to do the Simulink simulation for the nonlinear model - not the linearized one.
For problem 4, the (b) means that you only need to simplify block diagram (b) -- you don't need to use Mason's rule, just the techniques learned in class.

#### Homework 3(Solutions).

• Problem 1b) You may use Matlab to plot the frequency response
• Problem 4) When looking at overshoot, make sure to use the transfer function from R to Y
• Problem 6a) Looking at the transfer function from R to Y again
• Problem 7b) Once again looking at the transfer function from R to Y. The 3dB bandwidth may be found from looking at the Bode Plot in Matlab (this is the frequency where the gain drops by 3dB).

#### Homework 8(Solutions).

• Problem 7 has changed as of 11/9/2004.
• The transition matrix is the matrix that defines how the state changes in the case of no input (xdot = A*x). In the time domain, this is the inverse Laplace transform of (sI-A)^-1. This is not to be confused with a transformation matrix which transforms one definition of the state vector into another definition.