ASSIGNMENT #1 1. Plot the asymptotic Bode diagram for the following transfer functions. Determine the gain margin and phase margin. 2. Plot the Bode plot of the following transfer function: 3. Consider the Bode gain plot shown in the figure below. Find all transfer functions that have the gain plot. 4. Consider the Bode plot below.What’s its transfer function? 5. A stabilized precision rate table uses a precision tachometer and DC direct drive torque motor yielding an open-loop transfer function given by: 1- Design a lag compensator to achieve the required specifications. It is required to maintain a steady state accuracy of 0.1% for the speed control. The phase margin is 45 degree. 2- Design a lead compensator to achieve the required specifications. 3- Simulate using SIMULINK, for a unit step velocity input, for the following: a) The uncompensated unity feedback system. Plot the velocity output and error signal. b) The system with the lag compensator. Plot the velocity output, error signal, and the lag compensator control signal. c) The system with the lead compensator. Plot the velocity output, error signal, and the lead compensator control signal. d) Compare and discuss the 3 simulation results. NOTES: ·No computer generated solutions, numerical calculations or Bode plots, will be accepted. ·The assignment solution must be done manually and by calculator. ·The Bode diagram must be manually plotted on semi-log graph paper. . The transfer function of the system is : G(s)=K/[(0.1s+1)(0.1+s)]