6 votes
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How does load force impact load inertia?

Let's first compute the model. The control design is a separate effort. The torque applied to the drum is $n T_M $, where n is the gear ratio and $T_M$ is the output produced by the motor. $T_M= K_T ...
Suba Thomas's user avatar
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6 votes
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Which equations of a state space model influence the poles and zeroes?

Half of your statement is correct: If we are considering the following system: $$G : \begin{aligned} \dot{x} &= Ax+Bu \\ y &= Cx \end{aligned}$$ then $A$, $B$, and $C$ all influence the zeros ...
BarbalatsDilemma's user avatar
5 votes
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Square wave transfer function?

I thought I would expand a little on the answer offered by Karlo. Long story short, I would not try to calculate the analytical time response of a system to a square wave. That would be a serious ...
ConjuringFrictionForces's user avatar
5 votes

Frequency Response of a Discrete System

If you want to evaluate a continues time transfer function at a specific frequency $\omega$ in rad/s you substitute $s$ with $j\,\omega$. For a discrete time transfer function you substitute $z$ with $...
fibonatic's user avatar
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5 votes
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How do I interpret the following Bode, Nyquist and Nichols diagrams?

Your systems shows extremely close pole-zero cancellation. So much even that it nearly removes 4 poles and zeros. Lets look at why, starting with the Bode plot: The magnitude plot is constantly ...
Petrus1904's user avatar
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4 votes
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PI controller for second order system

Step 1: Draw the root locus of the system. Here you can see the two poles of your plant $G(s)$ (marked with an x), at $p_1=-9$ and $p_2=-1$, the pole of your controller $C(s)$ at $p_c = 0$ and the ...
useless-machine's user avatar
4 votes

How does load force impact load inertia?

Stretch in the spring delta $ Y = A.sin(\omega.t) = A.sin\sqrt(k/m) . t $ So the delta Y is not constant but if you are interested in delt Y_max delta $Y max = m/k$, by Hooks law. Because your ...
kamran's user avatar
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4 votes

What are the Singular Values of a dynamic system and how are they calculated in the *sigma* function in Matlab?

For a MIMO system $y(s) = G(s)d(s)$, with $m$ inputs and $l$ outputs. Consider a fixed frequency $\omega$ where $G(j\omega)$ is a constant $l \times m$ complex matrix. For the sake of simplicity the ...
useless-machine's user avatar
4 votes

How do I find the minimum/maximum stable value of scalar gain for a closed loop transfer function?

The forward path of your control diagram consists of the following transfer functions connected in series: $$ \begin{align*} G(s) &= \frac{s+8}{s^2-2s-3}\rightarrow \text{Plant}\\ K(s) &= K \...
Teo Protoulis's user avatar
3 votes

Practical examples of LTI transfer function

Why would a linear, time-invariant system require initial conditions to be zero? This is completely incorrect. A linear, time-invariant system is any system that is linear (no state terms ...
Chuck's user avatar
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3 votes
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How to solve system's general stability from transfer function?

I would like to extent the already given answer by MrYouMath. So question 1 is pretty straight forward and you already got it right. If there's no right half plane (RHP) pole then it doesn't matter ...
idkfa's user avatar
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3 votes

Unexpected Results from my Transfer Function

Checking the units is an excellent way to double check your work; kudos for doing so. However, the next step in checking to see if your results make sense is to check limits. In your case, you can ...
Chris Mueller's user avatar
3 votes
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Is lead filter same as PD combined with a low pass filter?

A lead filter implies that the zero has a lower frequency than the pole. While a PD controller with a low-pass-filter does not necessarily imply that order. Also a lead filter (usually) does not have ...
fibonatic's user avatar
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3 votes

How to find closed loop transfer function and use it to identify τ and k?

The general form of a transfer function for a first order system is the following: $$ T(s) = \frac{K}{\tau s+1} $$ where: $\ K \rightarrow $ DC Gain of the system $\ \tau \rightarrow $ Time ...
Teo Protoulis's user avatar
3 votes
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Help understanding a control system represented by coefficients of theta?

In mathematics,which are very closely related and broadly applied in control engineering, the derivatives with respect to time are often notated using the so-called: dot notation. You can check this ...
Teo Protoulis's user avatar
3 votes
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mass-friction-spring system with closed loop

Based on the information you've given, I believe your professor is suggesting that a friction term can be represented as shown in the following block diagram. The transfer function $G(s)$ relates ...
BarbalatsDilemma's user avatar
3 votes
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How to get a transfer function from this block diagram?

You are going in the right direction! Lets take these two equations: $$(1) \quad in = \alpha+a_1\alpha z^{-1}+a_2\alpha z^{-2}$$ $$(2) \quad out = b_0\alpha+b_1\alpha z^{-1}+b_2\alpha z^{-2}$$ now ...
Petrus1904's user avatar
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2 votes
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Closed loop response of a discrete system

The plant and controller: $$\text{sys}=\frac{4700 s^2+4393 s+3.245\times 10^8}{s^4+7.574 s^3+120200. s^2}$$ $$pid=0.287\, +0.008 s+\frac{0.5}{s}$$ The closed-loop system obtained as $\frac{pid*sys}{...
Suba Thomas's user avatar
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2 votes

Practical examples of LTI transfer function

Imagine hitting a pendulum by a hammer with same force and same direction. The pendulum's response will be always same, yesterday, today, tommorow, and 1 year after. It means, between your impact ...
KKS's user avatar
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2 votes

Transfer function of a temperature controlled incubation system

The transfer function you provide is merly a model of the egg incubation system it is not a controller. In addition a lot of assumptions are made, for instance, heat does spread evenly through the egg ...
WG-'s user avatar
  • 141
2 votes

How does load force impact load inertia?

I realize this is an old thread, and I am not sure how deep of a dive you finally took on this, but one thing I don't see accounted for in your equations is drum/cable friction. This will be small, ...
Eggy's user avatar
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2 votes

Square wave transfer function?

You want to look for the Laplace transform of a square wave. Note: The transfer function $H(s)$ is the ratio of the Laplace transforms of output $Y(s)$ and input $U(s)$: $Y(s)=H(s)\cdot U(s)$ If ...
Karlo's user avatar
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2 votes

How to tune a PID for a pure integrator system?

Ideal Water Tank The closed-loop water level control system looks like Figure. Figure. Closed-loop water level control system Figure 3 can be used as mentioned in comment above : ...
kfb's user avatar
  • 378
2 votes

Transfer Function of Spring-Damper System

First, create the free body diagram for this system. If you cut through the spring $k_1$ and the damper $b_1$ you will get two forces $F_{k_1}=k_1(x_i-x_0)$ and $F_{b_1}=b_1(\dot{x}_i-\dot{x}_0)$ ...
MrYouMath's user avatar
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2 votes

Frequency Response of a Discrete System

In matlab, using c2d (link) and bode (link) functions: ...
Vicente Cunha's user avatar
2 votes
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How to obtain plant parametric model of given system?

Solution to the linear parameterization of the given system: $\ y = \frac{b}{s+a}e^{-sτ}u = \frac{b}{s+a}e^{-sτ}u \ + \ \frac{b}{s+a}u \ - \ \frac{b}{s+a}u = \frac{b}{s+a}u \ + \ \frac{b}{s+a}(e^{-s\...
Teo Protoulis's user avatar
2 votes
Accepted

Noise sensitivity transfer function

This is because your controller is also improper. A common way to correct this is to add a low-pass filter to the derivative (effectively making it a high-pass filter). It can be noted that the PD ...
fibonatic's user avatar
  • 1,653
2 votes

Order of a system

There are two (between others) characteristics that define the transfer function of the system and moreover the system itself. Order $\ \rightarrow $ Defined by the maximum power of the laplace ...
Teo Protoulis's user avatar
2 votes

How to calculate the open-loop transfer function with disturbance at the input of the plant

When dealing with block diagrams be aware of the fact that you can not only derive the general transfer function (input-outuput) but also the disturbance transfer function, the error transfer function,...
Teo Protoulis's user avatar
2 votes

How can I get final value of $V_{out}$ at $t=∞$ in RC circuit?

The final value theorem is for a signal, not a transfer function. Use the transfer function to express the output signal $$ V_{\mathrm{out}}(s) = \frac{1}{RCs+1} V_{\mathrm{in}}(s),$$ with input $V_{\...
useless-machine's user avatar

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