hwk10 - angle), y H is the gain of the speedometer, and r H...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ME 375 HOMEWORK #10 Spring 2010 Out: April 7, 2010 Due: April 14, 2010 PROBLEM 1 : (30%) Given Find: (a) Differential equation relating r P 3 to s P . (b) Natural frequency and damping ratio for 5 1 sec/ 001 . 0 in lb R = , 5 2 sec/ 005 . 0 in lb R = lb in C f / 1000 5 = , and 5 2 / sec 010 . 0 in lb I = (c) MATLAB response ) ( 3 t P r for unit step change in s P . PROBLEM 2 : (40%) (a) Problem 7.22 in Palm. In particular, find the transfer function ) ( ) ( 2 s Q s H mi . (HINT: develop the equations for the gage pressures at the bottom of each tank, then convert these pressures to the heights of the two tanks. Also note that q mi is the mass flow rate, which is simply the volumetric flow rate q times the density ρ .) (b) Problem 7.23 in Palm. (See HINT above.)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
PROBLEM 3 : (30%) Consider the automobile speed control system depicted in the following figure, where R is the desired speed, Y is the actual speed of the car, and W is the road grade (in percent) which represents the slope of the road. The constant K is the control input (the throttle
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: angle), y H is the gain of the speedometer, and r H is input scaling factor. a s A + and a s B + represent the vehicle speed dynamics as a first order system. (a) Find the transfer functions from W ( s ) to Y ( s ) and from R ( s ) to Y ( s ). (b) Assume the desired speed is a constant reference r , so that s r s R ) ( = . Assume that the road is level, so ) ( = t w . What are the conditions on the gains K , r H and y H to guarantee that ) ( lim r t y t = . Include both the open-loop (assuming = y H ) and feedback cases ( y H ) in your discussion. (c) Assume that a constant grade disturbance s w s W ) ( = is present in addition to the reference input. Using the same gains as in part (b), what is the steady-state speed of the car ) ( lim t y t ? Include both the open loop and feedback cases....
View Full Document

Page1 / 2

hwk10 - angle), y H is the gain of the speedometer, and r H...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online