Multi-pulse fuel injection in diesel engines enables a large flexibility in controlling the fueling profile, such that the engine performance can be maintained subject to disturbances, i.e., ambient condition changes and fuel injection deviations. Based on linearized systems, current fuel injection controller synthesis methods do not consider ambient condition changes as well as the nonlinear impact on the combustion process by varying the multi-pulse fuel injection profile. In this paper, we propose an infinity-norm Lyapunov function based controller synthesis method using a control-oriented quadratic engine model. With closed-loop stability and performance guarantees, the synthesis method explicitly considers the quadratic engine behavior and the influence of varying intake conditions. Using a data-based engine model that is fitted with measurements, we numerically demonstrate the reference regulation capability and the fast convergence rate of the fuel injection controller.