Y(s) for the idle speed control system for a fuel-injected R(s) Find the transfer function engine (Fig. Q4). Show your result step by step. Fuel gain Rts) Ks Speed command Air bypass Manifold Dynamics G,1s) G;(s) G3(s) Pressure Yis) Engine speed Spark gain K,

m T K, i- B ep)K inductance, Lm, is low compared Usually the to the resistance, Rm, and can be neglected. Also assume friction in the motor bearings can be neglected (B= 0). Assume the inertia, J, includes the motor armature inertia, Jm, and the load inertia, Ji,. Simplify the transfer function and determine the motor time constant, 7, and the motor gain constant, K. 2.