Tagged Questions
2
votes
2answers
31 views
Finding the steady state error in the Laplace domain
I have the following block diagram:
Now I like to find the steady state error for theta_ref being a step input and for several values of n, Td, K1 and K2.
For the moment we can assume all gains ...
1
vote
1answer
33 views
Nyquist criterion
When using the Nyquist stability criterion, amplitude-frequency characteristic etc. we go from the Laplace image $G(s)$ to $G(j\omega )$. By definition of the Laplace transform, $s=\sigma + j\omega$. ...
1
vote
0answers
63 views
Identifiability of a state space system
I'm trying to solve assignment 4E.5 from this sheet (ship steering dynamics).
My question are:
Do I need to perform the Laplace Transform in order to check for identifiability?
The state space model ...
3
votes
1answer
151 views
How can I efficiently sketch a Nyquist diagram?
I have the following transfer function:
$$P(s) = \frac{3}{(s-1)(s+2)(s+3)}, s= j\omega$$
I got the starting and endpoints:
$$\omega_0 = -\frac{1}{2}, \omega_\infty = 0$$
When I split the ...
1
vote
1answer
1k views
How can I find the time constant of a first order system transfer function?
How can I obtain the time constant of the transfer function of a first order system, such as the example below?
$$ \frac{C(s)}{R(s)} = \frac{2}{s + 3}$$
Where $C(s)$ is the output of the system and ...
1
vote
2answers
228 views
Approximated Laplace transform of a non-linear system
Assume a system with dynamics:
$\dot{\omega}(t) = \alpha \omega^2(t) + \beta i(t)$,
where $\dot{\omega}(t), \omega(t)$ are system's states and $i(t)$ is the system's input. I'd like to approximate ...
0
votes
1answer
208 views
Numerically calculating inverse Laplace via the inverse Laplace transformation formula
I'm trying to simulate a control system whose transfer function is $H(s)$. I'm comparing different numerical methods for this. I have already used these two methods:
- Converting the transfer function ...
