Do the following for G5 (s): 10% OS, Ts = 4 sec, cfinal = 3.5 so that you can fill in the table with your results. (a) Find the natural frequency and damping ratio values, then determine the locations of the poles (b) Determine the kind of the unit step time responses (overdamped, undamped, etc.) and write their general forms, (c) Find the steady-state, css, and peak values, cmax, of the responses. Necessary formulas are at the bottom. (d) Find the settling and peak times, Ts and Tp (if appropriate), respectively. (e) Propose new transfer functions that produce unit step responses two times (2x) slower in terms of settling time while maintaining the same form (the same ) and steady-state values (you dont really need the picture to solve) Transfer Functions (v) G5(s) Questions 1, v 1. Wn 2, v 2. 3, %OS 3, v 3. Poles 4, v 4. Kind 5, v 5. General Form 6, v 6. Ts 7, v 1. Tp 8, v 8. Css 9, v 9. 10.New (10, i-ii) and Proposed (10, iv-v) Tr. Fn. 10, v -In(%OS/100) lim f(t) = lim sF (s), Good luck! 4 T = %OS= 100. e-//I- 7 T2+In2(%0S/100)' 0