problem from control Systems solve the complete answer for the questions asked... provide the Matlab plots along with suitable program. use Matlab for programming

Disk drive is a position control system with read/write head positioned over a magnetic disk. The system responds to a command from a computer to position itself at a particular track on the disk. A simplified block diagram of the system is shown in Figure 2. A conventional controller is to be designed for the system to control the position R(s2 +10s +20 Figure 1 B.2.1 Design a suitable P (Proportional) controller to meet the following criteria: a) Settling time less than A seconds and b) Steady state error less than C96. Obtain the output response and critically comment on the time response characteristics. B.2.2 Design a suitable PI (Proportional - Integral) controller to meet the following criteria: a) Settling time less than A seconds b) Overshoot less than B % and c) Zero steady state error. Obtain the output response and comment on the time response characteristics. B.2.3 Design a suitable PID (Proportional Integral Derivative) controller to meet the following criteria: a) Settling time less than A seconds b) Overshoot less than B % and c) Zero steady state error. Obtain the output response. Compare and tabulate the response characteristics for P, PI and PID controller