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Transfer Function of Control System

A transfer function represents the relationship between the output signal of a control system and the input signal, for all possible input values. A block diagram is a visualization of the control system which uses blocks to represent the transfer function, and arrows which represent the various inp

By Electrical4u 03/29, 2024
Power Systems

Final Value Theorem in Laplace Transform (Proof & Examples)

In the solution of Networks, Transient, and Systems sometimes we may not be interested in finding out the entire function of time f(t) from it’s Laplace Transform F(s), which is available for the solution. It is very interesting to find that we can find the first value or last value of f(t) or it’s

By Electrical4u 03/29, 2024
Power Systems

Initial Value Theorem of Laplace Transform

Initial Value Theorem is one of the basic properties of Laplace transform . It was given by prominent French Mathematical Physicist Pierre Simon Marquis De Laplace. He made crucial contributions in the area of planetary motion by applying Newton’s theory of Gravitation. His work regarding the theory

By Electrical4u 03/29, 2024
Power Systems

Time Response of Second Order Control System (Worked Example)

The order of a control system is determined by the power of ‘ s’ in the denominator of its transfer function. If the power of s in the denominator of the transfer function of a control system is 2, then the system is said to be second order control system . The general expression of the transfer fun

By Electrical4u 03/29, 2024
Power Systems

Routh Hurwitz Stability Criterion

After reading the theory of network synthesis , we can easily say that any pole of the system lies on the right hand side of the origin of the s plane, it makes the system unstable. On the basis of this condition A. Hurwitz and E.J.Routh started investigating the necessary and sufficient conditions

By Electrical4u 03/29, 2024
Power Systems

Root Locus Technique in Control System | Root Locus Plot

The root locus technique in control system was first introduced in the year 1948 by Evans. Any physical system is represented by a transfer function in the form of We can find poles and zeros from G(s). The location of poles and zeros are crucial keeping view stability, relative stability, transient

By Electrical4u 03/29, 2024
Power Systems

State Space Analysis of Control System

Before I introduce you about the concept of state space analysis of control system , it is very important to discuss here the differences between the conventional theory of control system and modern theory of control system. The conventional control theory is completely based on the frequency domain

By Electrical4u 03/29, 2024
Power Systems

Transient and Steady State Response in a Control System

When we study the analysis of the transient state and steady state response of control system it is very essential to know a few basic terms and these are described below. Standard Input Signals : These are also known as test input signals. The input signal is very complex in nature, it is complex b

By Electrical4u 03/29, 2024
Power Systems

Bode Plot, Gain Margin and Phase Margin (Plus Diagrams)

What is a Bode Plot? A Bode plot is a graph commonly used in control system engineering to determine the stability of a control system. A Bode plot maps the frequency response of the system through two graphs – the Bode magnitude plot (expressing the magnitude in decibels) and the Bode phase plot (e

By Electrical4u 03/29, 2024
Power Systems

Mathematical Modelling of Control System | Mechanical Electrical

Mathematical Modelling of Control System There are various types of physical systems, namely we have: Mechanical systems Electrical systems Electronic systems Thermal systems Hydraulic systems Chemical systems First off we need to understand – why do we need to model these systems in the first place

By Electrical4u 03/29, 2024
Power Systems

Network Synthesis | Hurwitz Polynomial | Positive Real Functions

Theory of Network Synthesis Network Functions Network synthesis theory involves the synthesis of networks made up of both active components (like resistors) and passive components (like inductors and capacitors). Let’s start with the basics: what is a network function ? In the frequency domain, netw

By Electrical4u 03/29, 2024
Power Systems

Settling Time: What is it? (Formula And How To Find it in MATLAB)

What is Settling Time? The settling time of a dynamic system is defined as the time required for the output to reach and steady within a given tolerance band. It is denoted as T s . Settling time comprises propagation delay and time required to reach the region of its final value. It includes the ti

By Electrical4u 03/29, 2024

Free Expert Guides on Power Systems, Circuit Design & Electrical Troubleshooting

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Transfer Function of Control System

Final Value Theorem in Laplace Transform (Proof & Examples)

Initial Value Theorem of Laplace Transform

Time Response of Second Order Control System (Worked Example)

Routh Hurwitz Stability Criterion

Root Locus Technique in Control System | Root Locus Plot

State Space Analysis of Control System

Transient and Steady State Response in a Control System

Bode Plot, Gain Margin and Phase Margin (Plus Diagrams)

Mathematical Modelling of Control System | Mechanical Electrical

Network Synthesis | Hurwitz Polynomial | Positive Real Functions

Settling Time: What is it? (Formula And How To Find it in MATLAB)

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