Questions tagged [control-theory]

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1answer
177 views

Get transfer function from state space

The following system is given and I'm asked to find the transfer function $$\frac{Y(s)}{U(s)}=G(s)$$ $$\bar {\dot x}=\begin{bmatrix} 0 & 1 & 0 & 0 &0 \\0 & 0 & 1 & 0 & ...
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1answer
2k views

Overshoot percentage of a critically damped system

My textbook explains how we recognize an underdamped , overdamped or a critically damped system and all their characteristics. Later on, in another chapter, without going into much detail I'm given ...
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2answers
87 views

Stochastic optimal control different in finance and engineering [closed]

What is the different between stochastic optimal control approach in finance and engineering? Why methodes used in finance approach like Ito calculus are not used in engineering?
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0answers
18 views

Linearization of nonlinear plant with system identification in Matlab

I hope this question fits in here and there is someone who can maybe help me. I am new to control theory and I have a very complex Simulink model which is nonlinear. I want to have a linear ...
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1answer
50 views

Decide P controller gain K so that phase margin is 50 deg

I need help finding the gain \$K\$ so that the phase margin for the system equals 50 degrees. $$F(s) = K$$ $$G(s) = \dfrac{1}{(s+1)^2}$$ \$v\$ is a process disturbance sinusoid with amplitude 2.5 and ...
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0answers
51 views

Determine range of proportional gain with given overshoot

I have given the open-loop transfer function $$ G_{ol} = 1.42 \frac{(s+3)^2+6^2}{(s-1)(s+2)((s+4)^2+4^2)} $$ The task I was given is determining the range of the proportional gain, which makes the ...
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133 views

What will be minimum number of states / state variables for these control systems in state-space model?

Consider the systems as LTI and SISO with transfer functions given below: I have read that minimum number of states for an LTI SISO system required to represent in state space analysis for any ...
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1answer
161 views

555 square wave generation with frequency feedback

Knowing that 555's behaviour varies according to temperature, I wondered: In an astable configuration, is there some way to measure output frequency, compare it with some desired value, and use this ...
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1answer
22 views

Nomenclature for changing characteristic curve

OK, I'm at a loss for words on this one. I'm looking for a word or phrase to describe the following situation... I have an open loop control system that when I apply voltage \$A\$ I get output \$A_1\...
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0answers
138 views

Transfer function with separate time delays in each term

We've been given the problem below for our current assignment As far as I can recall, I have never seen a transfer function with time units in the function itself, added onto each separate term. I ...
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1answer
261 views

Op-amp control theory

back at it again trying to use your genius brains. I have been trying to teach myself audio amplifier design. The big road block I am getting into is the control theory part of it, meaning how does ...
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0answers
64 views

Obtaining the analytical expression using the state transformation matrix

I am trying to derive the analytical expression in the box below. T is the state transformation matrix. x_dot=A*x(t) is a second order linear system. A has 2 distinct eigenvalues s1 and s2 and ...
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0answers
354 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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0answers
145 views

Tips for solving difficult block diagrams?

I've gotten the hang of solving block diagrams, i.e. condensing them to a transfer function. I'm aware that one may be solved in multiple ways. For simple diagrams, it's fairly straightforward to see ...
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0answers
74 views

Design controller to get this response

We have the following closed loop system where a is from 1 to 10 and p from 0 to 1(excluding 1). We want to design controllers H(s) and C(s) so that the step response is inside this area This is ...
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0answers
482 views

Calculate K for best settling time?

I'm practising on compensators and the root locus. A very common problem in my textbook is to find the value of a variable for the minimum settling time of the system. I have no trouble drawing the ...
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1answer
513 views

How do I get a closed-loop PID controller from a transfer function?

I have the transfer function below: $$T_c(s) = \frac{s+k_i}{m_0s^3+s+k_i}$$ It is assumed that \$k_p=1\$ and \$k_d=0\$. I am given that \$x_l(t)=[x_l(t),y_l(t)]^T\$ is the trajectory and the ...
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1answer
204 views

doubt on application of stability criteria

I have only seen systems with this transfer function treated in stability criteria with this general form:$$\frac{KG(s)}{1\pm KG(s)}$$ so the $$\lvert H(s)\rvert =1$$ is it possible to apply criteria ...
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1answer
251 views

Doubts about stability control theory

I have some questions about theory of stability: Can a system be stable and have poles in the right semiplane of s plane? If a system has poles in the right semiplane, what should happen in GH ...
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1answer
293 views

Object tracking project [closed]

I have to create a system that can track an object in the air and shoot a projectile at it. This in on a small scale. I want to use an ultrasonic sensor because I know nothing about vision algorithms. ...

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