BeginnerTopic 20 of 101Signals, Control & Comms
Block diagrams
Graphical representation of interconnected subsystems.
In depth
Block diagrams interconnect subsystems with summing junctions and pickoff points; rules reduce them: series G₁G₂, parallel G₁+G₂, feedback G/(1±GH). They show signal flow and the structure of controllers and communication systems.
Key points
- Unity feedback
- Moving blocks across junctions
- Closed-loop transfer function
ExampleA cruise-control loop has plant, controller, sensor and summing junction blocks.
What is Block diagrams?
Graphical representation of interconnected subsystems.
Why is it important to understand block diagrams?
Block diagrams show how subsystems connect, which makes complex systems easier to understand and to reduce to a single transfer function.
What is a summing junction?
A point where signals are added or subtracted, which is where error is formed in a feedback loop.
How do I reduce a block diagram?
Combine blocks in series by multiplication, in parallel by addition, and feedback loops by the closed-loop formula.
How is Block diagrams used in practice?
Typical applications include drawing a feedback loop with a plant, sensor and controller, reducing a multi-loop system to one transfer function for analysis and showing how a measurement noise enters a control system.
What should I learn before Block diagrams?
Study "Poles and zeros" first (topic 19 of 101 in Signals, Control & Comms). It covers the groundwork this topic builds on.
What are the key points of Block diagrams?
Unity feedback. Moving blocks across junctions. Closed-loop transfer function.
Can you give an example of Block diagrams?
A cruise-control loop has plant, controller, sensor and summing junction blocks.
What comes after Block diagrams?
The next topic is "Signal flow graphs and Mason's rule", which builds directly on this one.
How difficult is Block diagrams?
It is classed as Beginner in Signals, Control & Comms (topic 20 of 101). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.