An Application of Second-Order Sliding Mode Control for IC Engine Fuel Injection

A novel application of a second-order sliding mode control (SMC) scheme for the fuel injection control of automobile internal combustion (IC) engines is developed in this paper. In this scheme, the sliding surface, S(x(t)) is steered to zero in finite time by using the discontinuous first-order derivative of a control variable, u(t) and the corresponding actual control variable, u(t) turns out to be continuous, which significantly reduces the undesired chattering of u(t) deduced in the conventional SMC. By using a twisting algorithm to solve an introduced auxiliary problem, a simple and robust control law is derived. It avoids involving some immeasurable parameters and system uncertainties and therefore has strong potential for practical applications. The scheme is applied to a widely used engine benchmark, the mean value engine model for evaluation. The simulation results show substantially improved air fuel ratio characteristics by the proposed scheme compared with the conventional SMC