# Questions tagged [control-system]

A system that may be electronic circuits or even software that uses control theory (principally differential equations) to control an output by monitoring various aspects of the system under control and varying inputs all towards meeting a defined goal. Some famous examples are controlling a rockets thrust angle to ensure directional control.

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### Application of Frequency Response Theorem in Linear Circuits

One of the most important results of control theory for linear systems is the so called "Frequency Response Theorem" (here the references): Briefly, it says that under the hypotesis of stability and ...
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### Open loop gain and Percent Overshoot Relationship

In the context of control theory, I found a text stating: "Higher the loop gain of the system, larger is the percent overshoot" Can anyone show that analytically? Consider it to be a second order ...
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### Phase margin and stability

"In control systems, an open loop transfer function having poles in left half plane, should have positive phase margin and positive gain margin to ensure closed loop stability." I was trying to ...
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### Parameter range to ensure stability using Routh Criterion

I have a question regarding Routh Stability for a characteristic equation of the form, $$2S^4 + 2S^3 + 4S^2 + (k+1)S + 4 = 0$$ I need to find the range of K for which the system will be stable. ...
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### Given desired overshoot graphically find k from the root locus (Scilab)

I want to find $k_1$ that leads to the feedbakc system having poles in the 53º line (to have overshoot $\leq 10\%$). From the root locus, the poles move along the vertical asymptote centered on -1....
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### BIBO Stability considerations for Transfer Functions

So I was wondering if you have a system, consider it $G(s)$ and it has no initial energy i.e. $x(0) = 0$ for the initial condition. If the transfer function exhibits: pole cancellation, would it ...
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### Obtain the matrix in a control system with tandem/cascade representation

I'm trying to find tandem/cascade and parallel realization for the following transfer function: $$G(s)=\frac{(s+6)^2}{(s+2)^2(s^2+4s+6)}$$ For Tandem/cascade realization, I draw the following block ...
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### Laplace transform in a block system

I'm trying to understand the resolution of the problem 5.11, but I can't understand how she gets the expression in the rectangle: $$\dot{x}_1=-x_1+2u$$ How can I get the expression in the rectangle?
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### How to find the time constant of a water tank control system?

I've come across a scenario where I have a vertical cylindrical tank filled with water, that has an inlet flow valve and outlet flow valve. Known values: Resistance or gain R = 1.5 m^3/min Area of ...
610 views

### Condition for absolute stability

A necessary condition for absolute stability of a system is Gain cross over frequency < Phase cross over frequency Where Gain cross over frequency is the frequency at which Gain = 1 or 0 dB ...
81 views

### Stability of Differentiator Circuit

let's consider a generic differentiator circuit, i.e. a circuit whose transfer function is $\text{constant}\cdot j\omega$. For instance, you may consider this circuit with Op-Amp: I was reading ...
129 views

### Buck Converter Feedback Circuitry

Recently I have been studying feedback in switching power converters, and one thing that is still a bit confusing to me is the way the error amplifier is implemented. Here is what the control diagram ...
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### Switching frequency and controller's crossover frequency in DC-DC converters

In the context of control loop stability of DC-DC Converters, A switch mode power supply is essentially a sampled-data system, therefore the theoretical maximum bandwidth is one half the switching ...
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### finding zeta and wn for a 4th order system?

If we have a 4th order system,such as the one in snapshot, how we can find its undamped natural frequency and damping ratio? Because on wikipedia ,i found case of 2nd order system and couldn't find ...
179 views

### Why gain crossover frequency must be lower than phase crossover frequency for stable systems?

As far as I understood from here, phase margin means the amount of phase that needs to be added in order to coincide with 0 db gain and -180 degrees phase. Likewise for the gain margin it means means ...
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### Circuit stable in the Bode diagram, unstable in step-response

I am designing a simple current control circuit and trying to simulate it in LT Spice. The circuit is not optimized for some real-world application, it's more a learning method for me to get grip on ...
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### how to properly integrate kalman filter in a project?

this can be a little bit complex to understand, so I ll try my best to explain and hopefully someone can answer me or guide me on this. I'm doing a time series prediction on some data that I have, ...
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### Stability of SMPS designed for a motherboard

Many books have covered the stability of many configurations of switch mode power supplies and they have given details on how to set the poles and the zeros of the compensator to make the the power ...
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### Break away points

If there are two break away points between two poles, then what will be the nature of root locus? How to deal with them, and same question in case of 2 break-in points between two zeros.
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### Reading a high-speed rotary encoder with a Raspberry Pi

I'm trying to setup a Raspberry Pi to measure the position and speed of 8 DC motors that all have incremental quadrature encoders. At full speed (unloaded), each encoder ticks at 3.3 kHz. I assume ...
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### Relation between stability and overshoot?

Is there any relatonship between stability and overshoot? I mean, can we say that a system if it is marginally stable, it will not have overshoot?
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### Control System: DC Gain

Mostly, whenever it is asked to find the DC gain of A system; in the solutions provided, they find the steady state error coefficient (corresponding to the Type of the system). But I figured out that ...
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### How to design compensator for control system

I wanted to make this system so that there is zero steady-state error when there is a ramp input. As far as I know there is no steady-state error in a type 2 system so to turn G(s), a type 1 system ...
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### Control System how to get rid of Steady-State Error For Ramp Input

I am supposed to get rid of the steady-state error for ramp input for this closed loop transfer function Transfer Function of Closed Loop ^ T(s) Closed Loop ^ Since the closed loop is equivilant to ...
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### Forward path gain

Consider a simple circuit consisting of a pair of wires, where input voltage is equal to output voltage. Here forward path gain is G(s) = 1 ,(fig.1) which gives g(t) = δ(t) {Inverse Laplace ...
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### Stability - Driving a Capacitive Load

I know I have been asked not to provide video links and ask questions. But I have no proper guide/mentor or anyone who can provide me better answers other than users in this site. So, please pardon ...
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### Problem reading control effort frequency response plot

I am trying to plot the frequency response control effort of a control scheme in Matlab, and in particular I want to do this for different values of tau, which is a constant used to add a pole at high ...