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The characteristic equation of a feedback control system is s^3+Ks^2+9s+18. When the system is marginally stable, the frequency of the sustained oscillation:(a) 1(b) 1.414(c) 1.732(d) 3This question was posed to me by my school teacher while I was bunking the class.My doubt stems from Relative Stability Analysis in portion Stability and Algebraic Criteria of Control Systems

Answer» RIGHT choice is (d) 3

The explanation: Solve using Routh ARRAY and for the system to be marginally stable, K = -2. Polynomial for SUSTAINED OSCILLATION w = 3 rad/s.


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