Question : 1- Find transfer function (Vo/Vi) of the circuit Figure 1, then check your system is stable or not with unit feedback (with different methods: root locus, Bode plot, Nyquist ) ; inputs: step and ramp 2- Design lead-lag compensator to improve the settling time of 10% with respect to uncompensated system 3- Verify if the system with compensator is stable or not 4- In each step, calculate: gain margin and phase margin (Bode and Nyquist) 5- Add one pole in origin (1/s) to the system and check the impact of adding this pole to the system