Unformatted text preview: the Routh’s criterion to determine the stability of the closed-loop system as a function of K. Determine the value of K that will cause pure oscillations in the system. Determine the frequency of oscillations. (a) 3 K(s 4)(s 20) s (s 100)(s 500) + + + + (b) 2 K(s 10)(s 20) s (s 2) + + + . For the electric circuit shown, find the following: (a) The time-domain equation relating i(t) and v1(t); (b) The time-domain equation relating i(t) and v2(t); (c) Assuming all initial conditions are zero, the transfer function V2(s)/V1(s) and the damping ratio ξ and undamped natural frequency ω n of the system; (d) The values of R that will result in v2(t) having an overshoot of no more than 25%, assuming v1(t) is a unit step, L = 10 mH, and C = 4 μ F....
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- Spring '09
- Routh’s criterion, Dynamic Systems Homework, rise time tr