Abstract
Hybrid systems have captured the attention of the research community because of their intrinsic power and of the challenging mathematical problems they pose. We believe that much needs to be done to understand how to use effectively this mathematical formalism for important applications. We have embarked on an ambitious project aiming at the complete redesign of an automotive engine control unit for the next generation automobiles equipped with complex devices such as drive-by-wire and electronic valve control. The design problem has been formulated in an innovative way and makes extensive use of hybrid system technology. We present first the overall methodology and its basic components. Then we focus on the highest levels of abstraction that involve the formulation of the control problem and its solution. A hybrid model which describes the torque generation mechanism and the powertrain dynamics is developed. Then, two particular control sub-problems (cut-off and fast positive force tracking) are formulated as hybrid optimal control problems, whose solutions are obtained by relaxing the problems to the continuous domain and mapping their solutions back into the hybrid domain. A formal analysis as well as experimental results demonstrate the properties and the quality of the control laws.
Research sponsored in part by a CNR grant
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References
F. Balarin, M. Chiodo, P. Giusto, H. Hsieh, A. Jurecska, L. Lavagno, C. Passerone, A. Sangiovanni-Vincentelli, E. Sentovich, K. Suzuki, and B. Tabbara, Hardware-software co-design of embedded systems, the polis approach, VLSI, Computer Architecture and Digital Signal Processing, Kluwer Academic Publishers, Boston, Dordrecht, London, 1997.
A. Balluchi, M. Di Benedetto, C. Pinello, C. Rossi, and A. Sangiovanni-Vincentelli, Cut-off in engine control: a hybrid system approach, 36th CDC (San Diego, CA ), 1997, pp. 4720–4725.
A. Balluchi, M. Di Benedetto, C. Pinello, C. Rossi, and A. Sangiovanni-Vincentelli, Hybrid control for automotive engine management: The cut-off case., Hybrid Systems: Computation and Control (T. A. Henzinger and S. Sastry, eds.), Lecture Notes in Computer Science, vol. 1386, Springer-Verlag, London, U.K., 1998, pp. 13–32.
A. Balluchi, M. Di Benedetto, C. Pinello, C. Rossi, and A. SangiovanniVincentelli, Hybrid control in automotive applications: the cut-off control, Tech. Report No. M98/34, UCB ERL, June 1998.
K. Butts, I. Kolmanovsky, N. Sivashankar, and J. Sun, Hybrid systems in automotive control applications, Control using logic-based switching (A. S. Morse, ed.), Lecture notes in control and information sciences, vol. 222, Springer-Verlag, London, U.K., 1997, pp. 173–189.
Y.H. Chen, G. Leitmann, and Z.K. Xiong, Robust control design for interconnected systems with time-varying uncertainties, Inter. J. Contr. 54, (1991), 1119–1142.
X. Ge, W. Kohn, A. Nerode, and J. B. Remmel, Hybrid systems: Chattering approximation to relaxed controls, Hybrid Systems III (R. Alur, T. Henzinger, and E. D. Sontag), Lecture Notes in Computer Science, vol. 1066, Springer-Verlag, London, U.K., 1996, pp. 76–100.
C. Horn and R J. Ramadge, Robustness issues for hybrid systems, 34th CDC (New Orleans, LA ), 1995, pp. 1467–1472.
L. Hou, A. Michel, and H. Ye, Stability analysis of switched systems, 35th CDC (Kobe, Japan ), 1996, pp. 1208–1212.
W. Kohn, A. Nerode, and J. B. Remmel, Hybrid systems as Finsler manifolds: Finite state control as approximation to connections, Hybrid Systems II (P. Antsaklis, W. Kohn, A. Nerode, and S. Sastry, eds.), Lecture Notes in Computer Science, vol. 999, Springer-Verlag, London, U.K., 1995, pp. 294–321.
E. Lee and A. Sangiovanni-Vincentelli, Comparing models of computation, Proc. International Conference on CAD (Santa Clara, CA), 1996, pp. 234–241.
A. S. Morse (ed.), Control using logic-based switching, Lecture notes in control and information sciences, vol. 222, Springer-Verlag, London, U.K., 1997.
A. Nerode and W. Kohn, Models for hybrid systems: Automata, topologies, controllability, observability, Hybrid Systems (R. L. Grossman, A. Nerode, A. P. Ravn, and Hans Rishel), Lecture Notes in Computer Science, vol. 736, Springer-Verlag, London, U.K., 1993, pp. 317–356.
T. Niinomi, B. H. Krogh, and J. E. R. Cury, Synthesis of supervisory controllers for hybrid systems based on approximating automata, 34th CDC (New Orleans, LA ), 1995, pp. 1461–1466.
S. Pettersson and B. Lennartson, Stability and robustness for hybrid systems, 35th CDC (Kobe, Japan ), 1996, pp. 1202–1207.
H. H. Rosenbrock, Computer-aided control system design, Academic Press, London, U.K., 1974.
V.L. Utkin, Variable structure systems with sliding modes: a survey, IEEE Trans, on Aut. Contr. 22 (1977), 212–222.
L. Y. Wang, A. Beydoun, J. Cook, J. Sun, and I. Kolmanovsky, Optimal hybrid control with applications to automotive powertrain systems, Control using logic-based switching (A. S. Morse, ed.), Lecture notes in control and information sciences, vol. 222, Springer-Verlag, London, U.K., 1997, pp. 190–200.
Hui Ye, A. N. Michel, and L. Hou, Stability theory for hybrid dynamical systems, 34th CDC (New Orleans, LA ), 1995, pp. 2679–2684.
L. F. Yeung and G. F. Bryant, New dominance concepts for multivariable control systems design, Inter. J. Contr. 55 (1992), no. 4, 969–988.
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© 1999 Birkhäuser Verlag Basel/Switzerland
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Balluchi, A., Di Benedetto, M.D., Pinello, C., Sangiovanni-Vincentelli, A. (1999). Hybrid Control in Automotive Applications. In: Picci, G., Gilliam, D.S. (eds) Dynamical Systems, Control, Coding, Computer Vision. Progress in Systems and Control Theory, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8970-4_22
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DOI: https://doi.org/10.1007/978-3-0348-8970-4_22
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