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Design a lead-lag controller

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)

Kĩ năng: Điện tử, Kĩ thuật điện, LabVIEW, Matlab and Mathematica, Kĩ thuật

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