# 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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### Find transfer function and step function for this circuit

Can someone help me to find the transfer function of this circuit (i want to have the tension through the capacitor I think) and the step response in order to get the voltage in the function of the ...
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### PI controller to drive a constant power source

So I have a load that needs constant power to maintain a specific temperature and this load changes over time. For this, I am using the design outlined in the following article: https://www....
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### PD control (PID without I) - Homework help

I've been given a system - x" = bx′ + kx + ru and I've been asked to rewrite it in the canonical form x' = AX + BU. I've got -- ...
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### Block diagram feedback control of cart and inverted pendulum

I am making a block diagram for a classic control theory problem; the inverted pendulum on a moving cart. I want to model two types of disturbances on the system; force on the cart and another force ...
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### Nyquist plot of a time delay open-loop transfer function

As shown in the example 6 of here, the Nyquist plot of a open-loop transfer function that has a delay term in the numerator will encircle the origin several times (in fact, infinitely many times). ...
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### Calculating input voltage required for a series of capacitors to reach a a certain voltage in a certain time

just had a question regarding a system of capacitors. Its from the EE263 Introduction to Linear Dynamical Systems, Stanford University, 2008 Prof Boyd. If I have the step response and eigenvalues of ...
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### Boost converter load regulation

I am currently building a boost converter with PID control to control the output based on the discharge. The output will be fed into a DC/AC converter which, ideally, will power different loads. As of ...
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### How to treat poles with imaginary part when using root locus angle criteria - what is the angle to use?

Context: In the process of designing a phase-lead compensator for a system, I have used the design requirements to find the ideal locations for my closed-loop (CL) poles, have picked a place for a new ...
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### Optimum number of CANopen nodes in a CAN bus for motor control

I am studying about the CANopen implementation in a motion control work. CANopen is a protocol over tha CANbus. It is seen that, in the CANopen specification, theoretically at most 127 nodes could be ...
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### Reset control systems - Reduced overshoot (Swing)

The following figure shows a Two-step Incremental Sigma Delta/Zoom ADC where the feedback DAC is adjusted based on the result of the coarse conversion. I am interested in the signal that is injected ...
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### Design of a lead compensator with root locus in matlab

For the transfer function G(s), I tried to design a lead compensator for the function to have a response to the step with the following specifications: Overshoot= 10%; Ts (2%) = 5s. When I simulate ...
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### Guidelines and design considerations for designing a controller for a grid tie inverter?

I'm working on designing a controller for a grid tied inverter. I'm not able to find a suitable reference or book that might help in this case. What I have understood now is: There must 2 loops (...
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### PI or PID vs Manual Controller design using Control theory

Why should we design a controller manually using Bode plots and control theory instead of using PI or PID controllers and tune them? Or more specifically when should I design a controller and when ...
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### What are some techniques to troubleshoot a second order sigma delta loop?

I have designed a slightly modified second order (3-bit) multi-bit incremental sigma delta modulator (IDSM) in simulink (system level). The SNR that I get is 45dB, which is not as expected. But ...
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### How to use the Root Locus design method to improve the transient response of my system?

By closing the loop, I need to design a controller in the feedforward path to minimise the effects of the two pairs of dominant poles of the 5th order transfer function. Use a pole-zero cancellation ...
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### How do I calculate a PID controller gain for a certain damping coefficient?

I have a third order process and I have to design a PID controller by cancelling out the two most dominant poles of the process. The process transfer function is: The controller is of the form, where ...
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### Steady state error due to disturbance

I was trying to solve a question from the 2004 GATE IN paper, I solved it this way, Now, the book is giving a different solution, I'm pretty sure my way is correct since they pulled the "standard ...
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### Difference in feedback DAC levels between first and higher order Multibit sigma delta modulators

My objective is to understand the difference between first and higher order Multi-bit sigma delta modulators in terms of DAC feedback signals. I have a setup of 3-bit incremental sigma-delta ...
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### What is the meaning of the sensivity, of the open loop transfer function, being -1 regarding the non zero pole?

I have to calculate the sensivity of this transfer function regarding the pole s=-10. I used the formula below, and I got the value of -1 but I do not understand its meaning. I replaced (s+10) with p ...
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### Designing of a PID Controller

First of all, I am new to this Q/A site. If I am doing anything wrong, please forgive me. I am having some trouble solving this problem: Given the system of Figure(1), design a PID controller so that ...
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### 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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### 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 ...