 An important step in the analysis and design of control systems is the mathematical modelling of Block diagram: It is used to represent all types of systems. Block diagrams are used extensively to analyze control systems, where they provide a compact and intuitive representation of feedback control. By using block diagrams when examining larger systems, attention can be focused on a smaller number of elements or subsystems whose properties may. Author: Mr. Ana Bernier Country: Zambia Language: English Genre: Education Published: 21 November 2016 Pages: 369 PDF File Size: 43.12 Mb ePub File Size: 10.61 Mb ISBN: 717-2-65412-712-2 Downloads: 84600 Price: Free Uploader: Mr. Ana Bernier Now, from the diagram it is seen that, Where, G control systems block diagrams is the overall transfer function of cascaded control system. Summing Point of Block Diagram Instead of applying single input signal to different blocks as in the previous case, there may be such situation where different input signals are applied to same block.

Here, resultant input signal is the summation of control systems block diagrams input signals applied. Summation of input signals is represented by a point called summing point which is shown in the figure below by crossed circle. Here R sX s and Y s are the control systems block diagrams signals.

It is necessary to indicate the fine specifying the input signal entering a summing point in the block diagram of control system.

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Consecutive Summing Point A summing point with more than two inputs can be divided into two or more consecutive summing points, where alteration of the position of consecutive summing points does not affect the output of the signal. As automation continues to advance our capabilities, it also increases the difficulty of maintaining the control systems block diagrams. Understanding the complex systems in automation begins with the basics, such as print reading. A block diagram provides a means to easily identify the functional relationships among the various components of a control system. It consists of a single block with one input and one output Figure 1A. The following figure shows the summing point with three inputs A, B, C and one output Y.

Control Systems Block Diagrams

Here, the inputs A and B are having positive signs and C is control systems block diagrams a negative sign. Take-off Point The take-off point is a point from which the same input signal can be passed through more than one branch.

That means with the help of take-off point, we can apply the same input to one or more blocks, summing points. In the following figure, the take-off point is used to connect the same input, R s to two more blocks.

In the following figure, the take-off point is used to connect the output C sas one of the inputs to the summing point.

Block Diagram Representation of Electrical Systems In this section, let us represent an electrical system with a block diagram.

Electrical systems contain mainly three basic elements — resistor, inductor and capacitor.

Block Diagrams of Control System

Consider a series of RLC circuit as shown in the following figure. Where, Vi t and Vo t are the input and output voltages. Let i t be the current passing through the circuit. Block diagram of constant K These blocks represented the algebraic equations: First-Order System The blocks in the following figures represent scaled integration and differentiation.

Differentiation Cascaded Blocks The output of the block is frequently the input of another block, as shown in figure: Individual systems Control systems block diagrams second block must not alter the performance of the first block; in effect, then, the second block must offer a reasonably high input impendence.

If the interaction of blocks causes a change in the individual transfer functions, we must perform an analysis to combine the blocks into one before using them in the diagram.