Question

The figure shown below is a circuit diagram of ____ controller?

• A. Proportional
• B. Proportional integral
• C. Proportional Derivative
• D. PID Controller

Hint:

Basic Controllers. P: \(u = K_p e\). PI: \(u = K_p e + K_i \int e dt\). PD: \(u = K_p e + K_d de/dt\). PID: Combines all three terms. The block diagram shows only the proportional term \(K_p\).

Answer 1

The Correct Option is A

The block diagram shows a standard feedback control loop
The error signal, \(e(t)\), which is the difference between the reference input \(r(t)\) and the feedback signal (output \(c(t)\) in this case, assuming unity feedback), is fed into a block labeled \(K_p\)
The output of this block, \(u(t)\), is the control signal fed to the plant
A controller where the output signal \(u(t)\) is directly proportional to the error signal \(e(t)\) is called a Proportional (P) controller
The constant of proportionality is the proportional gain, \(K_p\)
$$ u(t) = K_p e(t) $$ The diagram shows exactly this relationship, with only a proportional gain block \(K_p\) acting on the error signal
Therefore, it represents a Proportional controller
PI, PD, and PID controllers would include additional blocks representing integration and/or differentiation of the error signal