The analysis of a control system is done in a way to determine the variation in output with respect to the input. Basically the response of any control system can be analyzed in frequency as well as time domain. So, the analysis of a system that involves defining input, output and other variables of the system as a function of time is known as time-domain analysis. It is also known as the time response of the control system. This is so because the response is defined as the output provided … [Read more...] about Time Domain Analysis of Control System

# Control Systems

## Stability of Control System

The stability of a control system is defined as the ability of any system to provide a bounded output when a bounded input is applied to it. More specifically, we can say, that stability allows the system to reach the steady-state and remain in that state for that particular input even after variation in the parameters of the system. Stability is considered to be an important property of a control system. It is also referred as the systemâ€™s ability to reach the steady-state. As it is an … [Read more...] about Stability of Control System

## Block Diagram Reduction Rules – Control System

We have discussed in our previous article that for the easiness of analysis of a control system, we use block diagram representation of the control system. Basically we know that a complex system is difficult to analyze as various factors are associated with it. Thus it is always better to draw the block diagram of the system in the easiest possible way thereby making the analysis simple. But as we also know that the block diagram representation of a system involves summing points, … [Read more...] about Block Diagram Reduction Rules – Control System

## Block Diagram of Control System

We know that a system generally holds multiple elements that combinedly act as a single unit in order to execute a certain task. We have also discussed, that in a control system, the various connected elements direct or control itself or any other system to have a specific output. The incorporation of various entities as a single unit in a system makes the system quite complicated for analysis. So, block diagram representation of control system is used in order to show a complex system in an … [Read more...] about Block Diagram of Control System

## Transfer Function of Control System

Definition: The transfer function of a control system is the ratio of Laplace transform of output to that of the input while taking the initial conditions, as 0. Basically it provides a relationship between input and output of the system. For a control system, T(s) generally represents the transfer function. In the figure given below X(s) and Y(s) represents input and output respectively. The transfer of the system is given as: Transfer function is considered as an … [Read more...] about Transfer Function of Control System

## Feedback System

A feedback system is the one which utilizes presently achieved output of the system for causing variation in the applied input signal in order to get the required output. More simply, we can say that the presence of a feedback system allows getting the desired output with continuous comparison from the reference input of the system. Generally, these systems are used to provide more corrective response, by comparing the achieved output with the applied input. By the use of feedback in a … [Read more...] about Feedback System

## Proportional Integral Derivative (PID) Controller

A type of controller in which the output of the controller varies in proportion with the error signal, integral of the error signal and derivative of the error signal is known as the proportional integral derivative controller. PID is the acronym used for this type of controller. Proportional plus integral plus derivative controller is sometimes referred as a 3-mode controller, as it combines the controlling action of proportional, integral as well as derivative controller altogether. The … [Read more...] about Proportional Integral Derivative (PID) Controller

## Proportional Derivative (PD) Controller

A type of controller in a control system whose output varies in proportion to the error signal as well as with the derivative of the error signal is known as the proportional derivative controller. It is also known as a proportional plus derivative controller or PI controllers. This type of controller provides combined action of both proportional and derivative control action. We know that the presence of controllers in any control system improves the performance of the overall system. So, … [Read more...] about Proportional Derivative (PD) Controller

## Proportional Integral (PI) Controller

Proportional Integral controller sometimes also known as proportional plus integral (PI) controllers. It is a type of controller formed by combining proportional and integral control action. Thus it is named as PI controller. In the proportional-integral controller, the control action of both proportional, as well as the integral controller, is utilized. This combination of two different controllers produces a more efficient controller which eliminates the disadvantages associated with each … [Read more...] about Proportional Integral (PI) Controller

## Types of Controllers

A controller is basically a unit present in a control system that generates control signals to reduce the deviation of the actual value from the desired value to almost zero or lowest possible value. It is responsible for the control action of the system so as to get accurate output. The method of producing a control signal by the controller is known as control action. The figure below represents the block diagram of an industrial controller: Basically the deviation of the achieved … [Read more...] about Types of Controllers