In s. cerevisiae, membrane proteins react to hyperosmotic shock by triggering a signal cascade that results in activation of a protein called hogl, which in turn activates transcriptional responses to once the osmotic balance is restored, hogl is deactivated through osmotic stress. dephosphorylation. to construct a model of hog1 response, you shock the cells with pulses of 0.2 m nacl and measure the levels of hogl periodically. you find that the levels of hogl over time can be reasonably described by the system below: 1 g(s) (s + 2)(s + 4)(s + 6) obtain the bode plot and the steady-state response of the uncompensated system using matlab. use controlsystemdesigner('bode', g) command where g is your transfer function. set the compensator gain c = 40. submit these plots as your answer for this question. calculate the approximate steady-state error to step input (ess, step) based on the steady-state response a. curve. b. we wish to modify the compensator so that the steady-state error to step input (ess. step) is 0.1. calculate (by hand) the new compensator gain c. enter this gain in matlab control system designer and submit the resulting steady-state response plot. calculate the approximate overshoot (mp) based on this plot. c. suppose you want to limit your overshoot to 15.8%. calculate (by hand) the damping ratio and the phase margin (pm) of the desired system. in matlab control system designer, add a lag compensator with a zero at w = 1.7 rad/sec and the pole at w = 0.3 rad/sec to your system. submit the bode plot and the steady-state response of the system as your answer for this question. what is the resulting overshoot and phase margin of this system?