Definition: A lag compensator is a circuit that is designed to generate a steady-state sinusoidal signal having a phase lag to the applied input sinusoidal signal. This can also be stated in a way that it is a circuit that is when provided with a sinusoidal input produces a sinusoidal output signal whose phase lags the applied input. It is sometimes referred as a lag network. We know that compensators are used in the control system in order to have the desired output. Basically, the … [Read more...] about Lag Compensator

## Lead Compensator

Definition: A lead compensator is an electrical circuit that when provided with a sinusoidal input generates a sinusoidal signal as output with a phase lead in comparison to that of the applied sinusoidal signal. It is also known as lead network. What is compensator? We are aware of the fact that control systems are used to control the behaviour of the system in order to provide the desired output. But for proper controlling, the control system must also be properly designed. The major … [Read more...] about Lead Compensator

## Time Response of Second Order System

The type of system whose denominator of the transfer function holds 2 as the highest power of ‘s’ is known as second-order system. This simply means the maximal power of ‘s’ in the characteristic equation (denominator of transfer function) specifies the order of the control system. The order of the system provides the idea about closed-loop poles of the system. The block diagram of the second-order system with unity feedback is given below: Introduction We have already discussed in … [Read more...] about Time Response of Second Order System

## State Space Analysis

State Space analysis (also known as state variable analysis) is a commonly used method nowadays for analyzing the control system. The analysis that involves providing a complete idea about the behavior of the system at any given time utilizing the history of the system is known as state-space analysis. The analysis of the control system in this approach is based on the state of the system. Thus it is called so. We know that the basic method used to analyze the control system is a transfer … [Read more...] about State Space Analysis

## Time Response of First Order System

The type of system having ‘1’ as the maximum power of ‘s’ in the denominator of the transfer function of the control system is known as the first-order system. Thus, we can say, that the order of the system is specified by the highest power of s. Basically the order of the system shows information regarding the closed-loop poles of the system. Thus for the first-order system, we can say that there will be one closed-loop pole. Here we can see the block diagram of unity negative feedback … [Read more...] about Time Response of First Order System

## Time Domain Analysis of Control System

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

## 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 system’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. The transfer of the system is given as: Transfer function is considered as an appropriate way of representing a linear time-invariant system. We know that in a control … [Read more...] about Transfer Function of Control System