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General block diagram of a control system

Short answer

A general closed-loop system has reference input, summing point for error e=r-b, controller/actuator producing manipulated variable u, plant yielding output c, and feedback sensor H. The closed-loop transfer function is C/R = G/(1+GH).

Construct a general block diagram of a control system showing the different blocks, variables and hence briefly point out their meaning.

A general (closed-loop) control system is shown below with its main blocks and signals.

                                disturbance d
                                      |
 v  +-------+ r  +    e  +-------+ u  v  +-------+  c
 -->|Ref.   |--->(Σ)---->|Contr- |--->+->| Plant |--+-->
    |input  |     ^ -    |oller +|       |       |  |
    |element|     |      |actua- |       +-------+  |
    +-------+     |  b   |tor    |                  |
                  |      +-------+                  |
                  +------[Feedback element H]<------+

Blocks

  • Reference input element: converts the command vv (e.g. a knob setting) into a reference signal rr of the same kind as the feedback.
  • Summing point (error detector): forms e=r−be = r - b.
  • Controller (with actuator): converts the error into the manipulated variable uu (P, PI, PID action; motor, valve, amplifier).
  • Plant / process: the system to be controlled.
  • Feedback element (sensor): measures cc and gives b=Hcb = Hc.

Variables

SymbolNameMeaning
vvcommand inputdesired value set by the user
rrreference inputcommand in signal form
bbfeedback signalmeasured output
eeactuating (error) signalr−br - b
uumanipulated variableaction applied to plant
dddisturbanceunwanted input
cccontrolled variableactual output

The relation is C(s)R(s)=G(s)1+G(s)H(s)\dfrac{C(s)}{R(s)} = \dfrac{G(s)}{1+G(s)H(s)}.

✓ Answer checked by Claude Opus 5.5 (high effort)

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