A speed control for a gasoline engine because of the restriction at the carburetor intake and the capacitance of the reduction manifold, the lag T1, occurs and is equal to 1 second. The engine time constant re is equal to J/b = 3 s. The speed measurement time constant is Te = 0.4 s.
(a) Determine the necessary gain K if the steady-state speed error is required to be less than 10% of the speed reference setting.
(b) With the gain determined from part (a), apply the Nyquist criterion to investigate the stability of the system,
(c) Determine the phase and gain margins of the system.