Abstract: A vehicle includes an engine having a crankshaft, an electric machine having a rotor, a disconnect clutch having an input secured to the crankshaft and an output secured to the rotor, a hydraulic pump mechanically powered via rotation of the rotor and configured to supply hydraulic fluid to the actuate the disconnect clutch, a torque converter having an impeller secured to the rotor, and controller. The controller is programmed to, responsive to a speed of the impeller decreasing to less than a first threshold, which is indicative of a subsequent shutdown of the hydraulic pump, and responsive to the disconnect clutch being open while the engine is shut down, advance the disconnect clutch to a touch point where opposing sides of disconnect clutch make contact but substantially zero power is transferred between the engine and the electric machine.

Abstract: A method and system for operating a vehicle that includes a driveline disconnect clutch and a step-ratio transmission is described. In one example, the method includes shifting the step-ratio transmission to neutral and accelerating an engine to an expected input shaft speed of the step-ratio transmission via applying full output capacity of an electric machine to the engine.

Abstract: A method for operating a vehicle that includes a driveline disconnect clutch is described. In one example, the method includes adjusting a pressure of the driveline disconnect clutch as a function of an engine pull-up torque minus a driver demand torque when the pressure of the driveline disconnect clutch is between a torque stroke pressure and a hydraulic stroke pressure.