Use the Control System Toolbox to obtain the step-response of the process whose transfer function, G(s), is given below. Plot the unit step-response of this process for the range of parameter values indicated. At this stage, simply observe the effect of the time-constant, τ, and gain, K, on the step response of the first-order process, and the effects of the damping ratio ζ and the natural frequency n on the step response of the second-order system. i. G(s)=-; K = 1 and τ = 0.1, 0.5, 1, and 10 sec. (Plot on sam e graph to be able to compare and make conclusions; use "hold" command, type "help hold" in MATLAB for further info.)
ii. G(s) same as above, τ-05 and K-o1, 0.5, 5, and 10. (Plot on same graph.)
iii. G(s) = ts +1 ; a'm = 3 rad/sec and 〈 = 0, 0.1,0.5, 0.707, 1, and 3. (Plot on same graph.)
iv. G(s) same as above , ζ= 0.5, ar,-05, 1, 3, and 15 rad/sec. (Plot on same graph.)