Transformations of block diagram

Сентябрь 12, 2022

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Transformations of block diagram

Содержание

2. Transformations of block diagram In the case of more complicated systems, which consists of many elements
3. Structure of closed-loop control systems Example of closed-loop control system: Gas furnace (temperature control in central
4. Structure of closed-loop control systems Example of closed-loop control system: Gas furnace (block diagram) :
5. Structure of closed-loop control systems Closed-loop control system (general block diagram): yo (t) – reference (set
6. Structure of closed-loop control systems Closed-loop control system (general equations):
7. Structure of closed-loop control systems Output-reference response transfer function: Output-disturbance response transfer function: Error-reference response transfer
8. THANK YOU
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Слайд 2

Transformations of block diagram
In the case of more complicated systems, which

consists of many elements and several feedback loops it is advisable to use the transformations of block diagrams in order to simplify them.

1. In series connection:

2. Parallel connection:

3. Feedback:

4. Shifting a summing junction before an element:

5. Shifting a summing junction after an element:

6. Shifting a branching before an element:

7. Shifting a branching after an element:

Слайд 3

Structure of closed-loop control systems
Example of closed-loop control system:
Gas furnace

(temperature control in central heating system) :

Слайд 4

Structure of closed-loop control systems
Example of closed-loop control system:
Gas furnace

(block diagram) :

Слайд 5

Structure of closed-loop control systems
Closed-loop control system (general block diagram):
yo

(t) – reference (set point, input signal) u(t) – control signal
y(t) – controlled signal (output signal) d(t) - disturbance
ys (t) – measured controlled signal (ys (t) ≈ y(t))
e(t) - error e(t) = yo (t) - ys (t)

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Structure of closed-loop control systems
Closed-loop control system (general equations):

Слайд 7

Structure of closed-loop control systems
Output-reference response transfer function:
Output-disturbance response transfer

function:

Error-reference response transfer function:

Слайд 8

THANK YOU