Abstract
The operation of sensors and actuators in engine control systems is always affected by errors, which are stochastic in nature. In this paper it is shown that, because of the non-linear interactions between engine performance and control laws in an open-loop engine control system, these errors can give rise to unexpected deviations of control variables, fuel consumption and emissions from the optimal values, which are not predictable in an elementary way.
A model for vehicle performance evaluation on a driving cycle is presented, which provides the expected values of fuel consumption and emissions in the case of stochastic errors in sensors and actuators, utilizing only steady-state engine data.
The stochastic model is utilized to obtain the optimal control laws; the resultant non-linear constrained minimization problem is solved by an Augmented Lagrangian approach, using a Quasi-Newton technique. The results of the stochastic optimization analysis indicate that significant reductions in performance degradation may be achieved with respect to the solutions provided by the classical deterministic approach.
Similar content being viewed by others
References
J.E. Auiler, J.D. Zbrozek and P.N. Blumberg, Optimization of automotive engine calibration for better fuel economy — Methods and applications, SAE Paper 770076 (1977).
J.D. Powell, Optimization techniques with application to engines,Seminar on Automotive Engine Control, Politecnico di Milano, Italy (1983).
M. Gambino, M. Migliaccio and G. Rizzo, Sui criteri di controllo elettronico dei motori a c.i. ad accensione comandata, in:Proc. 19th Congresso ATA, Modena, Italy (1983).
H.S. Rao, A.I. Cohen, J.A. Tennant and K.L. Van Voorhles, Engine control optimization via nonlinear programming, SAE Paper 790177 (1977).
R. Prabhakar, S.J. Citron and R.E. Goodson, Optimization of automotive engine fuel economy and emissions, ASME J. Dynamical Syst., Meas. Contr. (June 1977).
G. Rizzo, L' ottimizzazione di consumi ed emissioni per il motore AR 2000, Rivista ATA, Torino, Italy (October 1987).
A.R. Dohner, Transient system optimization of an experimental engine control system over the federal emissions driving schedule, SAE Paper 780286 (1978).
C. De Petris, G. Rizzo, V. Rocco and A. Scognamiglio, Real time NO x evaluation in spark ignition engines by means of cylinder pressure data, in:Advances in Engine Emissions Control Technology, ICE Vol. 5, 12th ASME ETCE, Houston (1989).
J.F. Cassidy Jr., A. Athans and Wing-Hong Lee, On the design of electronic automotive engine controls using linear quadratic control theory, IEEE Trans. Automatic Contr. AC-25, no. 5 (October 1980).
F.V. Bracco, Modeling and diagnostic of combustion in spark-ignition engines, in:Diagnosis and Modeling of Combustion in Reciprocating Engines, COMODIA 85, Tokyo (Sept. 4–6, 1935).
J.B. Heywood, Engine combustion modeling — An overview, in:Combustion Modeling in Reciprocating Engines, eds. J.N. Mattavi and C.A. Amann (Plenum Press, New York, 1980).
W.G. Wolber, Automotive engine control sensors '80, SAE Paper 800121 (1980).
G. Rizzoni and P.S. Min, Application of failure detection filters to the diagnosis of sensor and actuator failures in electronically controlled engines, in:Proc. IIIE Workshop on Automotive Application of Electronics, Dearborn, MI (1988).
M. Liubakka, G. Rizzoni, W. Ribbens and K. Marko, Failure detection algorithms applied to control system design for improved diagnostics and reliability, SAE Int. Congress and Exposition, Detroit (1988).
G. Rizzo and E. Jannelli, Gli effetti della dispersioni delle caratteristiche di funzionamento dei sensori e degli attuatori sulla ottimizzazione di un m.c.i. a controllo elettronico,39th Congresso ATI, L'Aquila, Italy (1984).
M. Gambino, E. Jannelli, C. Raimo and G. Rizzo, The effects of sensors and actuator precision on the performance of an open-loop control system of a s.i. internal combustion engine,40th Congresso ATI, Trieste, Italy (1985).
G. Rizzo and M. Gambino, A model for the stochastic optimization of engine fuel consumption and emissions, in:Proc. 18th ISATA Symp., Florence (May 1988).
G. Rizzo and C. Pianese, Optimization of spark ignition engines with stochastic effects in sensors and actuators,ASME Symp. on Engine Design, Operation and Control using Computer Systems, Dearborn, MI (October 15–18, 1989).
M. Migliaccio and G. Rizzo, Il piano a minimo consumo per un motore a c.i. ad accensione comandata,Rivista ATA, Torino, Italy (1979).
A.E. Bryson and Y.C. Ho,Applied Optimal Control (Hemisphere Publ. Corp., Washington, 1975).
W.H. Press, B.P. Flonnery, S.A. Teukolsky and W.T. Wetterling,Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, Cambridge, 1986).
P. Sotgiu, L' ottimizzazione stocastica di un m.c.i., Thesis, Dept. of Mechanical Engineering, University of Naples, Italy (1988).
A. Paopulis,Probability, Random Variables and Stochastic Processes (McGraw-Hill, New York, 1965).
J. Pinter, Deterministic approximations of probability inequalities, ZOR — Meth. Models Oper. Res. 33 (1989) 219–239.
M.A.H. Dempster (ed.),Stochastic Programming (Academic Press, London, 1980).
R.A. Blau, Stochastic programming and decision analysis: an apparent dilemma, Manag. Sci. (USA) 21 (1974) 271–276.
A. Charnes and W.W. Cooper, A comment on Blau's dilemma in “stochastic programming” and Bayesian decision control, Manag. Sci. (USA) 22 (1975) 498–500.
T.R. Rakes and G.R. Reeves, Selecting tolerances in chance-constrained programming: a multiple objective linear programming approach, Oper. Res. Lett. 4 (1985) 65–69.
P.H. Gill, W. Murray and M.H. Wright,Practical Optimization (Academic Press, London, 1984).
L.C.W. Dixon and G.P. Szego,Towards Global Optimization (North-Holland, New York, 1978).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rizzo, G., Pianese, C. A stochastic approach for the optimization of open-loop engine control systems. Ann Oper Res 31, 545–568 (1991). https://doi.org/10.1007/BF02204869
Issue Date:
DOI: https://doi.org/10.1007/BF02204869