Modeling an Internal Combustion Engine Under Sliding Mode Control as a Hybrid System Jay Barton

References and Acknowledgments Primary References: “Reducing Automotive Engine Speed Fluctuations at Idle”; Shim, Park, Khargonekar, Ribbens; IEEE Transactions on Control Systems Technology, 1996 “Injector Characteristics Estimation for Spark Ignition Engines”; Benvenuti, Di Benedetto, Rossi, Sangiovanni-Vincentelli; Proceedings of the 37th IEEE Conference on Decision and Control, 1998 “A Hybrid Approach to the Fast Positive Force Transient Tracking Problem in Automotive Engine Control”; Balluchi, Di Benedetto, Pinello, Sangiovanni-Vincentelli; Proceedings of the 37th IEEE Conference on Decision and Control, 1998 “Automotive Engine Control and Hybrid Systems: Challenges and Opportunities”; Balluchi, Benvenuti, Di Benedetto, Pinello, Sangiovanni-Vincentelli; Proceedings of the IEEE, 2000 Special Thanks to (conspired, perspired, and nearly expired with) : Xiaojun Liu Christopher (?) Claudio Pinello

Engine/Controller Block Diagram Cylinder(s)  co Intake Manifold Fuel Injector Stepper Motor Drive Train Controller Acceleration Constraints  cs,des e TiTi   sp  des T  cs  cs Human Driver + - Emissions Constraints + - TLTL T net

The Four Stroke Cycle Piston Offset Angle  co

Fuel Injector TiTi mfmf

Motor Governing Equations

Stepper Motor Block Diagram Motor  des VV K3K3 K1K1 K2K G + -

Intake Manifold Governing Equations

Intake Manifold Governing Equations Effective Throat Area

Intake Manifold Block Diagram + +  cs mama p man 

Drive Train Block Diagram 6 Torque

Torque Generation

Torque Waveform

Ignition Efficiency

Cylinder Model  sp mama  co  cs mfmf pp - + Torque

Cylinder Module in Ptolemy