The closed-loop denominator is s(s+5)+25=s²+5s+25. Comparing with s²+2ζωn s+ωn² gives ωn=5 and ζ=5/(2×5)=0.5. Since zero<ζ<one, the response is underdamped, B.
More Control System Transfer Functions questions
GATE 2025 BM Q20– Which statement about the integral component of a PID controller for a second-order linear…
GATE 2023 BM Q54– A system initially at rest satisfies 0.01y(t)+0.2y(t)+y(t)=6x(t), with t in seconds. A…
GATE 2021 BM Q18– For a linear stable second-order system, the unit-step peak time is twice its rise time.…
GATE 2021 BM Q33– For a type-2 unity-feedback system, the extrapolated initial −40 dB/decade Bode segment…
GATE 2021 BM Q46– The closed-loop characteristic equation is s⁴+2s³+8s²+8s+16=0. Find its steady-state…
GATE 2021 BM Q56– A unity-feedback system has closed-loop transfer function C(s)/R(s)=(s+90)/(s2+10s+90).…
