Identify the parameters K, a, and b of the system shown in Figure P7.37. The system is subject to a unit step input, and the output response has an overshoot but ultimately attains the final value of 1. When the closed-loop system is subjected to a ramp input, the output response follows the ramp input with a finite steady-state error. When the gain is doubled to 2K, the output response to an impulse input is a pure sinusoid with a period of 0.314 second. Determine K, a, and b.

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Ris) (s 40s +as b) FIGURE P7.37 Feedback system.