Posts Tagged ‘transfer function’

Simulation Diagrams of Laplace Transform

August 11th, 2014 | Make a comment | Posted in Others
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Next part of Nasir’s tutorial on laplace transform…

Introduction

Since we have established the fact that we can get the algebraic equations from differential and integral equation by using Laplace transform. To remove the undermined coefficients and variations of parameters, we use helpful Laplace transform and for the matter of fact this is most gainful for the input terms like periodic, pulsive or piecewise.

Having boundary conditions, 0 ≤ t < ∞, we consider a function f (t) and its Laplace integral will be:

Simulation Diagrams of Laplace Transform

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Difference between Poles and Zeros of a Control System

April 22nd, 2014 | 1 Comment | Posted in Electrical distribution
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In the previous article, Nasir discussed transfer function of control system. Now check the last but one article of his tutorial: Difference between Poles and Zeros of a Control System…

Introduction

The input-output explanation of system is elementally the spreadsheet of all possible input-output pairs. Like for linear system, spreadsheet can be described by single input single output pair, e.g. the impulse response or the step response.

Transfer function is function of complex variables. The transfer function can be obtained by simple algebraic jugglery of differential equations that illustrates the system. Transfer function can represent higher order systems also, even infinite dimensionless systems which regulates on partial differential equations.

The frequencies for which the values of denominator and nominator become zero in a transfer function are called Poles and Zeros. Poles and Zeros analyze the performance of a system and check the stability. The values of Poles and Zeros control the working of a system. Usually the numbers of Poles and Zeros are equal in a system and in some cases number of Poles is greater.

Definition of Poles

Poles are the roots of the denominator of a transfer function. Let us take a simple transfer function as an example:

Where, N(s) and D(s) are simple polynomials.

Where, N(s) and D(s) are simple polynomials

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What is Transfer Function?

April 18th, 2014 | Make a comment | Posted in Panel Building
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Last but one tutorial from the series about the Control Systems topic written by Nasir, our active member of the community. Will this definition help you?

Introduction

In Analyzing and designing of any system, the most important factor is the mathematical modeling of that system. There are many mathematical models to describe control systems.

In physics, transfer function maybe defined as mathematical representation (in terms of frequency) of interrelation between input and output in linear time uninterrupted systems with zero pint equilibrium and zero initial conditions. If talking particularly about control systems then it can be defined as the ratio of the Laplace transform of the output variable to the Laplace transform of the input variable, with all zero initial conditions.

Transfer function is function of complex variables. The transfer function can be obtained by simple algebraic jugglery of differential equations that illustrates the system. Transfer function can represent higher order systems also, even infinite dimensionless systems which regulates on partial differential equations.

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Introduction to First-Order Systems

March 28th, 2014 | Make a comment | Posted in Panel Building
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Let Nasir tell you about first order systems and their response…

Just like him, you can publish an article on the blog, all you have to do is to tell us by mail. You can write about whatever you want (debate, tutorial, product review, observations, your status as an engineer or student, etc.).

Introduction

There are two methods to analyze functioning of a control system that are time domain analysis and control domain analysis. In time domain analysis the response of a system is a function of time. It analyzes the working of a dynamic control system.

This analysis can only be applied when nature of input plus mathematical model of the control system is known. It is not easy to express the actual input signals by simple equations as the input signals of the control systems are not fully known. There are two components of any system’s time response, transient response and steady response.

Typical and standard test signals are used to judge the behavior of typical test signals. The characteristics of an input signal are constant acceleration, constant velocity, a sudden change or a sudden shock. We discussed four types of test signals that are Impulse Step, Ramp, Parabolic and another important signal is sinusoidal signal. In this article we will be discussing first order systems.

 

First order system

Introduction to First-Order Systems 1

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