Two systems with impulse responses h1 (t) and h2 (t) are

Home » Control System » Control system miscellaneous » Question

Two systems with impulse responses h₁ (t) and h₂ (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by

1. product of h₁ (t) and h₂ (t)
2. sum of h₁ (t) and h₂ (t)
3. convolution of h₁ (t) and h₂ (t)
4. subtraction of h₂ (t) from h₁ (t)

Correct Option: C

Two systems with impulse responses (h₁ )(t) and h₂ (t) are connected in cascade

Then the overall impulse response of the Cascaded system in given by convolution h₁ (t) and h₂ (t)
Overall Impulse Respone = Convolution of h₁ (t), h₂ (t)
= Product of H₁ (s), H₂ (s)
Where H₁ (s), H₂ (s) are transfer function is S domain.