P2.31 An interacting control system with two inputs and two outputs is shown in Figure P2.31. Solve for Y(s)/R,(s) and 5(s)/R,(s) when R2 -0. H₁(s) G₁bs) Girls) RAS Gy(x) G₂(s) G₁(s) Go(s) Hyls) FIGURE P2.31 Interacting System. P2.33 Find the transfer function for Y(s)/R(r) for the idle- speed control system for a fuel-injected engine as shown in Figure P2.33. RU) Speed command Fuel K₁ K₁ gain Air bypass Manifold Dynamics Hs) G₁(s) G₂ls) G₂1) Pressure Yis) Engine FIGURE P2.33 Idle speed control system. H₁) Spark gain speed