Block Diagram Reduction - Control System

May 17, 2020

ldlchds

Homework Statement: Reduce the block diagram to the canonical form:

Relevant Equations: Am I moving right? I am not sure. Do you have any idea how should I do?

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May 17, 2020

cnh1995

Homework Helper

Gold Member

You are on the right track.
You are now left with three feedback loops in the diagram. Reduce them one by one, starting from the rightmost summing point.

May 17, 2020

ldlchds

Okay, delete please this post.I solved.Thanks

May 17, 2020

berkeman

Mentor

ldlchds said:

Okay, delete please this post.I solved.Thanks

LOL, no. That's not how the PF works. This is not "cheating.com"

Thread locked.

1. What is a block diagram in control systems?

A block diagram in control systems is a visual representation of the interconnection between different components of a control system. It consists of blocks, which represent different parts of the system, and arrows, which represent the flow of signals between the blocks. It is used to simplify the analysis and design of complex control systems.

2. How is block diagram reduction used in control systems?

Block diagram reduction is a technique used to simplify a complex block diagram by combining blocks and reducing the number of arrows. This is done by using certain rules and laws, such as the associative and distributive properties, to manipulate the blocks and arrows. The resulting simplified block diagram is then easier to analyze and design.

3. What are the advantages of using block diagram reduction in control systems?

There are several advantages of using block diagram reduction in control systems. It helps to simplify complex systems, making it easier to analyze and design. It also helps to identify the key components and their relationships in a system. Additionally, it can be used to combine multiple systems into one, making it more efficient and cost-effective.

4. What are the limitations of block diagram reduction?

While block diagram reduction is a useful technique, it does have some limitations. It can only be applied to linear systems, meaning systems that follow the principle of superposition. It also assumes that the system is in a steady-state, meaning there are no transient responses. Additionally, it may not be suitable for highly complex systems with a large number of blocks and arrows.

5. Can block diagram reduction be used for non-linear systems?

No, block diagram reduction can only be used for linear systems. Non-linear systems do not follow the principle of superposition, which is a key assumption for the technique to work. Non-linear systems require different methods of analysis and design, such as state-space representation or computer simulations.