10 Problem I. Using the transfer function defined as G(s) = term K in the forward path as shown below, , introduce a proportional control R(s) Y(s) Find the characteristic equation for the closed-loop system by hand, including K as a parameter Use Matlab to determine the value for K that produces a critically stable response (sustained oscillations). Simulate the step response of this closed-loop system, noting the value of K and the frequency we of the sustained oscillations (in rad/sec). In what ways do the values of K and we relate to the characteristic equation of part (a)? 1. ii. iii. 10 Problem I. Using the transfer function defined as G(s) = term K in the forward path as shown below, , introduce a proportional control R(s) Y(s) Find the characteristic equation for the closed-loop system by hand, including K as a parameter Use Matlab to determine the value for K that produces a critically stable response (sustained oscillations). Simulate the step response of this closed-loop system, noting the value of K and the frequency we of the sustained oscillations (in rad/sec). In what ways do the values of K and we relate to the characteristic equation of part (a)? 1