Analytical models, Python Programming

Analytical models

Analytical tools  are very important.  It may  be hard  to check  the  correctness of a machine by trying it in several possible  initial  conditions with  all possible  inputs; sometimes it is more easier  to create a mathematical model  and then solve  a theorem about  the model.

For some  systems, such  as pure  software calculations, or the addition circuitry in a computer, it is possible  to find correctness or speed  with  just a model  of the  system in question.  For other  machines, such  as fuel injectors,  it is not possible to solve the correctness of the controller without also modelling the environment to which  it is inter connected, and then check the behaviour of the coupled system of the environment and controller.

To provide some  of these  tradeoffs, we can do a very simple  analysis of a robot  moving toward a light.  Imagine that we manage it so that the robot's speed at time t, V [t], is related to the difference between the real  light  level,  X[t], and  a given light  level, Xdesired; that is, we may model  our control  method with the difference relation

 

735_python-Analytical models.png

 

Now, we require to model  the world. For simplicity, we take the light level to the robot's position); in addition we consider the robot's position at time t is its position at time t - 1 plus its speed at time t - 1.

796_Analytical models.png

Now,  for a required value  of k, we can calculate how the system will act over time, by resulting the difference relation in X.

These same types of analyses may be given to robot control  machine as well as to the temporal characteristics of voltages in a digital circuit, and even to problems as not related as the  result of a monetary policy  decision  in economics.  It is very important to check that  treating the machine as moving in discrete time stamp  is an approximation to underlying continuous dynamics; it may create models that are simpler to analyze, but it needs sophisticated understanding of sampling to check the effects of this approximation on the answer of the results.

 

Posted Date: 8/9/2012 6:40:52 AM | Location : United States







Related Discussions:- Analytical models, Assignment Help, Ask Question on Analytical models, Get Answer, Expert's Help, Analytical models Discussions

Write discussion on Analytical models
Your posts are moderated
Related Questions
1 Low Level Exploits 1.1 Savegames Jimmy is becoming increasingly frustrated at the computer game hes playing. He has a save right before the levels boss but he needs either more

Java programs are  what  is known as statically and  strongly defined.  Thus,  the  kinds  of all the variables must  be known at the time that the program is written. That seems

For and While   If we want  to do some operation or set of operations various  times, we can handle the process  in several  different types.  The most straightforward types

Your task is to construct a translator from the subset of Python in Project 3 intocontinuation-passing style (CPS). Of course, the expected way of accomplishing this is to trans

protocol rdt2.2 considers there is a bit errors between sender to receiver and also from receiver to sender. So now we have to consider checking bit errors introduced in reply from

Task This problem creates a list containing names. The list of names will be printed, sorted, printed again in the new sorted order, written to a new output file, and searched. Ca

For this assignment, you need to create a program that allows the user to do basic trigonometry functions. First, ask the user if he or she would like to do sine, cosine, or tangen

Import the sample code below into the Python IDLE and enhance it, run it and debug it. Add features to make this a more realistic database tool by providing for easy data entry an

Tuples  and strings Python has two different more list-like data  types  that are very important to understand.A tuple  is a structure that  is like a list, but  is not  mutab

program on damped lcr cicuit