Abstract
This paper investigates the stochastic adaptive control problem of the air–fuel ratio in gasoline engines. A discrete-time dynamic model is introduced to represent the cyclic transient characteristics of the air mass and the fuel mass with consideration of residual gas variation. Then, using the model, a feedback adaptive control law is derived to guarantee the convergence of the regulation error of the air–fuel ratio in the sense of mean square stability, where the unknown perturbation in the cyclic fresh air charge is targeted by the adaptation parameter of the controller. To show its effectiveness, experiments are conducted on a V6 gasoline engine. © 2014 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.
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