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If the poles of a system transfer function are equal and imaginary, the system is ________(a) Undamped(b) Critically damped(c) Overdamped(d) Negatively dampedThis question was posed to me in my homework.The doubt is from Time Response of Control Systems in division Control System Applications of MATLAB

Answer»

Right answer is (a) Undamped

To explain I would say: Since the poles are equal and imaginary, the DAMPING factor is 0 and HENCE the damping ratio is 0. THUS, the system is absolutely undamped and OPTION Undamped is CORRECT only.



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