Block Diagram Reduction Problems in Control Systems
Learn how to solve block diagram reduction problems in control systems with Mathspedia's examples and videos. ๐ฏ

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19.4K views โข Mar 28, 2023

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Block diagram Reduction Problem 1 |
https://youtu.be/d1xtjE2eZzA
Block diagram Reduction Problem 2 |
https://youtu.be/Uyt9lycTQ-Q
Block diagram Reduction Problem 4 |
https://youtu.be/g0thfsbib_8
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Block diagram Reduction Problems | Control System | Engineering | Mathspedia | Problem 3 |
Block diagram reduction is a technique used to simplify complex control systems by reducing the number of blocks in a system while maintaining the system's overall functionality. Here are the steps involved in block diagram reduction:
1)Combine series blocks: Series blocks can be combined by simply multiplying their transfer functions.
2)Combine parallel blocks: Parallel blocks can be combined by adding their transfer functions.
3)Eliminate feedback loops: Feedback loops can be eliminated by using the formula T = G / (1 + GH), where T is the transfer function, G is the forward path gain, and H is the feedback gain.
4)Move summing points: Summing points can be moved to simplify the system. For example, if two blocks feed into a summing point, the summing point can be moved to the output of the first block, and the output of the second block can be added to the output of the first block.
5)Apply block diagram algebra: Block diagram algebra can be used to simplify the system further. Some common algebraic rules include the distributive property, commutative property, and associative property.
6)Repeat steps 1-5: Continue to repeat steps 1-5 until the system is in its simplest form.
By following these steps, you can reduce a complex control system into a simpler block diagram that is easier to analyze and understand.
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Watch other examples video ๐
Block diagram Reduction Problem 1 |
https://youtu.be/d1xtjE2eZzA
Block diagram Reduction Problem 2 |
https://youtu.be/Uyt9lycTQ-Q
Block diagram Reduction Problem 4 |
https://youtu.be/g0thfsbib_8
-----------------------------------------------------------------------------------------------------------
Block diagram Reduction Problems | Control System | Engineering | Mathspedia | Problem 3 |
Block diagram reduction is a technique used to simplify complex control systems by reducing the number of blocks in a system while maintaining the system's overall functionality. Here are the steps involved in block diagram reduction:
1)Combine series blocks: Series blocks can be combined by simply multiplying their transfer functions.
2)Combine parallel blocks: Parallel blocks can be combined by adding their transfer functions.
3)Eliminate feedback loops: Feedback loops can be eliminated by using the formula T = G / (1 + GH), where T is the transfer function, G is the forward path gain, and H is the feedback gain.
4)Move summing points: Summing points can be moved to simplify the system. For example, if two blocks feed into a summing point, the summing point can be moved to the output of the first block, and the output of the second block can be added to the output of the first block.
5)Apply block diagram algebra: Block diagram algebra can be used to simplify the system further. Some common algebraic rules include the distributive property, commutative property, and associative property.
6)Repeat steps 1-5: Continue to repeat steps 1-5 until the system is in its simplest form.
By following these steps, you can reduce a complex control system into a simpler block diagram that is easier to analyze and understand.
SUBSCRIBE ๐
https://www.youtube.com/c/MATHSPEDIAabhi?sub_confirmation=1
๐IF YOU UNDERSTOOD THE CONCEPT DO GIVE ONE LIKE๐
๐IF YOU HAVE ANY CLARIFICATION ABOUT THE CONCEPT
PLEASE DO COMMENT๐ฌ
๐IF YOU WANT MORE VIDEOS IN FUTURE DO SUBSCRIBE๐
๐IF YOU ARE FED UP WITH THE NOTIFICATION ALERT NO NEED TO PRESS ๐ OR OTHERWISE DO PRESS ๐
AND ONE MORE THING THANKS FOR WATCHING VIDEO๐
--------------------------------------------------------------------------------------------------------------------------
#mathspedia
#controlsystems
#blockreductionrule
#blockdiagramrepresentation
#closedloopsystem
#blockdiagramreductionproblems
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Published
Mar 28, 2023
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