Methods of Block Diagram Reduction Rules

In a Control system, for the analysis of any system, there are two methods

1. Transfer Function Approach
2. State Variable Approach

Transfer Function Approach : The ratio of the Laplace transform of the output variable to the Laplace transform of the input variable assuming all the initial conditions to be zero is called Transfer Function.

State Variable Approach : The advantage of the Transfer Function Approach is that it gives a simple mathematical algebraic equation and it directly gives poles and zeroes of the system. The stability of the system and output of the system for any input can be directly determined from this approach.

Transfer Function G(S) = L[c(t)]/L[r(t)] all the initial conditions are zeroes.

G(s) = C(s) / R(s)

It is not always convenient to determine the complete transfer function for the very complex control system. Therefore function of each element of the control system is depicted in the form of a block diagram.

The symbol representation in short form gives a relation of output to input in the control system. The complete system can be formed by connecting each block as per the need of the system.

In this Article, We Will explore various block diagram reduction rules, discuss the advantages and disadvantages of this technique, and examine its applications. Additionally, a solved example will be presented to illustrate the practical application of block diagram reduction rules in simplifying complex systems.

As we know a complex control system is difficult to analyze as various factors are associated with it. In this article, we will see how to easily analyze a control system, and it is only possible by using block diagram reduction rules. This representation of a system involves summing points, functional blocks, etc., connected through branches which makes the analysis easy, simple, and step by step, crystal clear.

We will start our Article with Methods of Block Diagram Reduction Rules, and Then we will go through all the rules of Block Reduction, At last, we will Solve a Problem block diagram reduction technique.