Periodic Takagi-Sugeno observers for individual cylinder spark imbalance in idle speed control context

This paper aims to present a systematic methodology for designing periodic observers for cyclic nonlinear systems represented by Takagi-Sugeno models. An application to idle speed control of a spark-ignition engine will be proposed. Thanks to the estimated individual cylinder values, we can detect an imbalance of each cylinder (unbalanced cylinder). Based on a dynamic hybrid model, some simulation results will prove the efficiency of our method.