Advanced model based air path management using a discrete-angular controller in idle-speed context

This paper aims to present an original methodology to design a controller for the air path management considered as a nonlinear system that is presented as a periodic discrete Takagi-Sugeno (TS) model. A transformation is realized to translate the periodic behavior into a classic discrete model using the different sample times. The controller gains are obtained solving LMI problems with uncertainties. The presented results are illustrated through the control of an Internal Combustion (IC) engine during the idle speed phase. Simulation results are provided to emphasize the utility of the methodology.