Design a lead-lag controller
Budget: $30 – $250 USD
1. Design a lead-lag controller for the system (root locus method) : (10 marks)
G(s) : Equation Attached
Error in equation corrected: Ts98%<3s
In order to obtain a OS, Ts, Tr are given as Table below (unity feedback system)
2. Check the system is stable or not with unit feedback (with all different methods: root locus, Bode plot, Nyquist ); inputs: step (10 marks)
3. Compare uncompensated and lead compensator in continuous time (Use root locus method) (5marks)
4. Compare uncompensated and lead-lag compensators in continuous time (5 marks)
Discrete:
5. Find the discrete system of the plant and redesign the lead-lag compensator (Ts=0.02 ) (5 marks)
6. Compare uncompensated and lead compensator in the discrete domain (Use root locus method) (5 marks)
7. Compare uncompensated and lead-lag compensator in the discrete domain (5 marks)
8. Show that the steady-state controllable canonical form of the system above (5 marks)
9. Find the gain K in order to have a deadbeat response for the system above (10 marks)
10. Find the gain L in order to have a deadbeat response for the observation error (10 marks)
11. Discretizes control system in step 1 and compare with step 4 (10 marks)
12. Discuss all results from 1 to 11 in detail with proper graphical methods (Bode plot and Nyquist) (20marks)
G(s) : Equation Attached
Error in equation corrected: Ts98%<3s
In order to obtain a OS, Ts, Tr are given as Table below (unity feedback system)
2. Check the system is stable or not with unit feedback (with all different methods: root locus, Bode plot, Nyquist ); inputs: step (10 marks)
3. Compare uncompensated and lead compensator in continuous time (Use root locus method) (5marks)
4. Compare uncompensated and lead-lag compensators in continuous time (5 marks)
Discrete:
5. Find the discrete system of the plant and redesign the lead-lag compensator (Ts=0.02 ) (5 marks)
6. Compare uncompensated and lead compensator in the discrete domain (Use root locus method) (5 marks)
7. Compare uncompensated and lead-lag compensator in the discrete domain (5 marks)
8. Show that the steady-state controllable canonical form of the system above (5 marks)
9. Find the gain K in order to have a deadbeat response for the system above (10 marks)
10. Find the gain L in order to have a deadbeat response for the observation error (10 marks)
11. Discretizes control system in step 1 and compare with step 4 (10 marks)
12. Discuss all results from 1 to 11 in detail with proper graphical methods (Bode plot and Nyquist) (20marks)