Common rail injection system controller design using input-to-state linearization and optimal control strategy with integral action

The goal is to develop a controller for a common rail injection system where the calibration process for the implementation is systematic and simpler. A 0D nonlinear model of the common rail system is designed. The common rail model contains strong nonlinearities which might be hard to handle from the control point of view. In order to overcome this constraint, an input-to-state linearization is applied to the common rail nonlinear model. This procedure yields with a virtual linear system, where two optimal Linear Quadratic Regulator LQR strategies are applied. Very good results are obtained, the calibration process is significantly simplified and the controller stability is ensured.