Okay, um then I should make it something like this: if my system is equation is something like:
f - mg - u = 0 where f is the input and u is a disturbance (both are functions of time).
having a scalar multiple of my force would not increase the system's response in a linear way. does this mean...
Um, could you explain further by which variable you mean? I think I have the misconception that if there are any terms in the equation of motion not associated to input or output, the system is nonlinear, since the equation itself, when input or output is multiplied by a constant, does not...
Like the topic,if in my system derivation, there is an independent gravitational force independent of the state variable, is my system linear? I believe it is not but my instructor is telling is it is. I'm thinking that if there is is an extra gravitational term,the output of the system does not...
Homework Statement
The nonlinear, inherently unstable inverted pendulum is shown in
Figure 1.15. The goal is to maintain the pendulum angle θ(t) = 0
by using a feedback controller with a sensor (encoder or poten-
tiometer) for θ(t) and an actuator to produce an input force f (t).
The...
Thanks for the replies,
I asked a friend too, and he said it was just simple algebraic manipulation, so jim_hardy would be correct.
I really did wish that the authors explain these things more clearly.
Not really sure whether this question belongs here or not (if it doesn't, help move?).
So I was reading my electronic circuits textbook and am at the section of underdamped RLC unforced response, and the book mentions the natural response as
v_{n} = e^{-\alpha\cdot t}(A_{1}\cdot...
Homework Statement
Not really a homework question, but more of a concept question which i'm unfamiliar with. So as we know, equations can be in any coordinate, but how do you convert them from one to another?
For example, a few equations from fluid mechanics. the first equation is the vector...
So basically, you can only say things move in relative to another only when they're not accelerating? or is it only when they dont have any angular rotation about a common axis?
Homework Statement
The system's closed loop transfer function is given below, find K and \alpha such that the input R(s) = 1/s^2 has no steady state error. (Hint: the system is not a unit feedback system)
http://img829.imageshack.us/img829/9899/problempr.png [Broken]
Homework Equations...
This isn't the phrase egotistic or anything, but rather a random conversation i came up with my friends. We all know that people (and things) revolve around the world, but could one say that the world revolves around a person/thing? For example, if a car crashed into a wall, one could picture it...
Hey,
Okay, that was something I missed. After reworking it, there's still something wrong with it:
[PLAIN]http://img35.imageshack.us/img35/6645/solk.png [Broken]
as you can see, although i have solved for the values for %OS and Tpeak in the 3rd and 4th line of the picture, the solutions do...
Homework Statement
Find T,K value such that the system's percent overshoot is .254 and peak time is 3
http://img560.imageshack.us/img560/6139/problemz.png [Broken]
Homework Equations
[PLAIN]http://img46.imageshack.us/img46/51/releq.png [Broken]
The Attempt at a Solution...