This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Nonlinear Model Predictive Control of Advanced Engines Using Discretized Nonlinear Control Oriented Models
Technical Paper
2010-01-2216
ISSN: 0148-7191, e-ISSN: 2688-3627
Annotation ability available
Sector:
Language:
English
Abstract
This paper proposes a methodology to develop a nonlinear model predictive control (NMPC) of a dual-independent variable valve timing (di-VVT) engine using discretized nonlinear engine models. In multiple-input-multiple-output (MIMO) systems, model based control methodologies are critical for realizing the full potential of complex hardware. Fast and accurate control oriented models (COM) that capture combustion physics, actuator and system dynamics are prerequisites for developing NMPC. We propose a multi-scale simulation approach to generate the non-linear combustion model, where the high-fidelity engine cycle simulation is utilized to characterize effects of turbulence, air-to-fuel ratio, residual fraction, and nitrogen oxide (NOx) emissions. The input-to-output relations are subsequently captured with artificial neural networks (ANNs). Manifold and actuator dynamics are discretized to reduce computation efforts. The discretized models are capable of handling nonlinearity of dynamics models caused by varying time steps depending on engine speeds and other inherent characteristics. The models are realized using system identification based on autoregressive ANNs. Then, NMPC is designed to achieve requested torque responses and to track the optimal actuator responses closely. The latter is important for eliminating excursions of residual and associated emissions penalty during a transient. NMPC using discretized models is capable of achieving dead-beat like control with much shorter computation time and with short prediction and control horizons.
Authors
Citation
Lee, T. and Filipi, Z., "Nonlinear Model Predictive Control of Advanced Engines Using Discretized Nonlinear Control Oriented Models," SAE Technical Paper 2010-01-2216, 2010, https://doi.org/10.4271/2010-01-2216.Also In
References
- Stefanopoulou, A. G. Cook, J. A. Grizzle, J. W. Freudenberg, J. S. “Control-Oriented Model of a Dual Equal Variable Cam Timing Spark Ignition Engine” ASME J. Dynamic Systems, Measurement, and Control 120 2 257 266 1998
- Hendricks, E. Sorenson, S.C. “Mean Value Modeling of Spark Ignition Engines,” SAE Technical Paper 900616 1990 10.4271/900616
- He, Y. Lin, C.-C. “Development and Validation of a Mean Value Engine Model for Integrated Engine and Control System Simulation,” SAE Technical Paper 2007-01-1304 2007 10.4271/2007-01-1304
- Mianzo, L. Peng, H. “Modeling and Control of a Variable Valve Timing Engine” Proc. American Control Conference 1 6 554 558 2000
- Kämmer, A. Liebl, J. Krug, C. Munk, F. et al. “Real-Time Engine Models,” SAE Technical Paper 2003-01-1050 2003 10.4271/2003-01-1050
- Wiebe, I. I. “The combustion speed in internal combustion piston engines” Collected works of piston engine research Laboratory of Engines, Academy of Sciences USSR, Moscow Kiisa, M. KTH 1993 1956
- Lee, T. Filipi, Z. S. “High Degree-of-freedom Engine Model for Control Design Using a Crank-Angle Resolved Flame Propagation Simulation and ANN Surrogate Models” Proc. IMechE Part I: J. System Control Engineering 2010
- Macek, J. Polášek, M. Šika, Z. Valášek, M. et al. “Transient Engine Model as a Tool for Predictive Control,” SAE Technical Paper 2006-01-0659 2006 10.4271/2006-01-0659
- Laila, D.S. Grunbacher, E. “Discrete-time control design for setpoint tracking of a combustion engine test bench” Proc. 46 th IEEE Conference on Decision and Control 3883 3888 2007
- Lee, T.-K. Filipi, Z. S. “Nonlinear Model Predictive Control of a dual-independent Variable Valve Timing Engine with Electronic Throttle Control” IEEE Trans. Control Systems Technology 2010
- Tabaczynski, R.J. Ferguson, C.R. Radhakrishnan, K. “A Turbulent Entrainment Model for Spark-Ignition Engine Combustion,” SAE Technical Paper 770647 1977 10.4271/770647
- Tabaczynski, R. J. Trinker, F. H. Shannon, B. A. “Further refinement and validation of a turbulent flame propagation model for spark-ignition engines” Combustion and Flame 39 2 111 121 1980
- Poulos, S.G. Heywood, J.B. “The Effect of Chamber Geometry on Spark-Ignition Engine Combustion,” SAE Technical Paper 830334 1983 10.4271/830334
- Filipi, Z.S. Assanis, D.N. “Quasi-Dimensional Computer Simulation of the Turbocharged Spark-Ignition Engine and its Use for 2- and 4-Valve Engine Matching Studies,” SAE Technical Paper 910075 1991 10.4271/910075
- Filipi, Z. S. “Investigation of Variable Valve Area Strategies for a Turbocharged SI-Engine.” Proc. IMechE 5th Int. Conf. Turbocharging and Turbochargers 93 102 1994
- Filipi, Z. S. Assanis, D. N. “The Effect of Stroke-to-Bore Ratio on Combustion, Heat Transfer and Performance of a Homogeneous-Charge Spark-Ignited Engine of Given Displacement” Int. J. Engine Research 1 2 191 208 2000
- Lee, T.-K. Filipi, Z. S. “Improving the Predictiveness of the Quasi-D Combustion Model for Spark Ignition Engines with Flexible Intake Systems” Int. J. Automotive Technology 2010