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What will be the nature of time response if the roots of the characteristic equation are located on the s-plane imaginary axis?(a) Oscillations(b) Damped oscillations(c) No oscillations(d) Under damped oscilaationsThis question was posed to me during an internship interview.Enquiry is from Time Response of Second Order Systems topic in chapter Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer»

Correct answer is (c) No oscillations

The explanation: complex conjugate (non-multiple): OSCILLATORY (sustained oscillations)

Complex conjugate (multiple): UNSTABLE (GROWING oscillations).



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