Thanks for the reply.
I misstated my original constraint. Its an inequality constraint of the form \theta_K \leq \theta \leq \theta_L (and \phi_M \leq \phi \leq \phi_N as well). I can take the partial derivates:
\frac{\partial f}{\partial \theta} and \frac{\partial f}{\partial \phi}...
This isn't really a homework question, but may be similar to a typical example problem so I posted it here.
Homework Statement
I want to find the max and min dot product of a 3d vector and all points in a sphere constrained by angles in spherical coordinates.
Homework Equations
A point...
I read up on this problem more and I think I understand it a bit better. My system needs to go from 60% relative humidity at 26 deg C to 30% relative humidity at 10 deg C. I plotted this process on a psychrometric chart... It's denoted by the '1' line...
Hey Russ,
Thanks for the reply. Why do I assume the air leaving the unit is saturated? Doesn't the A/C unit dehumidify the air? I understand that the w.vap would be saturated around the coil, but if you put your hand in front of the outlet of an A/C unit the air isn't wet (doesn't feel like...
Hey all,
I'm working on a project where I'm trying to use the inherent dehumidification ability of air conditioners to remove moisture from a closed environment. I would like to estimate the amount of condensation (and hence moisture removal) that occurs. I don't have access to the air...
This is a general question. When using the optimal method to design a controller, specifically a linear quadratic regulator, you usually have a state-space representation of a system, and a cost function to minimize.
The cost function usually takes the (quadratic) form:
I don't...
Hello,
For a given vehicle, I want to use a given chart for engine torque vs. engine speed (or hp vs. engine speed) and convert it to an approximate 'applied linear force' on the car (assuming no wheel slippage). I need a very rough approximation, so I've averaged the engine torque and...
Hey all
I'm working with a simple 'robot' that consists of a sensor (rotary encoder) and a DC motor. Both are coupled through a computer. My goal is to simply replicate any rotation the sensor undergoes using the motor. For example if the sensor turns one revolution in a second, I want the...
Hey all
I'm using a controller from MVP. The guide for the controller is located here: http://www.micromo.com/servlet/com.itmr.waw.servlet.FileViewer?sprachid=1&kid=42044&pid=531688&fid=531711&kdid=40929" . The controller's attached to a motor with a 2000 quadrature shaft encoder. I can get...
Homework Statement
I'm given the power for a capacitor. I know the voltage across the capacitor has a complex component. How do I find the value of the capacitor?
Power (purely reactive) = -50000j VA
Voltage = 200 + 100j V @ 60 Hz
Homework Equations
Power = (V*V) / Z
Impedance of a...
Hi All,
I have a data set consisting of (x,y,z) coordinates. I can calculate the covariance between them just fine. Calculating all the covariances between the three variables gives me a nice 3x3 matrix. However, the points have a weighting value as well. I don't know how to account for the...
Background: I'm having trouble using principal component analysis to try and align two data sets.
I have two sets of 3D point data, and I can use PCA to get principal axes of the two sets of data. I do this by finding the eigenvectors of the covariance matrix for each set of data. This gives...
So I guess this is actually a pretty open ended question =p
For those interested, One way is to use the iterative closest point algorithm, explained really well here:
http://ais.informatik.uni-freiburg.de/teaching/ss07/robotics/slides/14.pdf
I'm interested in the problem of registering non-corresponding (but similar) point clouds.
I have two sets of point cloud data (points in xyz) representing the same geometric shape. However, the point cloud data does not correspond -- both clouds have a different number of points and there...