Answer Happy

Homework 7/8 - Problem 1: 2nd order Response based on Root Locations a) Draw the root location for these functions on the s-plane, describe the expected behavior b) Calculate the appropriate response parameters: time constants for overdamped systems (be sure to identify if there is a dominant root) or natural frequency and damping ratio for underdamped systems. c) Plot the Bode plots for each and describe their shape based on the system parameters, from the plots, identify low frequency, mid (or resonance) frequency and high frequency behavior in terms of both magnitude ratio and phase. Equation_1(t) = 2² 10 x(t) +2. - 2 x(t) + 4 x(t) = 3 g(t) d1² dt Equation_2(t) = x(t) 181x(t) + + x(t) = 4g(t) 20 Equation 3(t) = 6 x(t) + 5 x(t) = 2 g(t)