Design of observer-based feedback control for time-delay systems with application to automotive powertrain control

Proceedings of the ASME Dynamic Systems and Control Conference 2009, DSCC2009

Volumn , Issue PART B, 2010, Pages 1509-1516

  Yi, Sun ^a   Nelson, Patrick W ^a   Ulsoy, A Galip ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROLLERS; DIESEL ENGINES; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK; FEEDBACK CONTROL; STATE FEEDBACK; TIME DELAY; TIMING CIRCUITS;

AUTOMOTIVE POWERTRAINS; CHARACTERISTIC EQUATION; CLOSED-LOOP PERFORMANCE; EIGENVALUE ASSIGNMENT; FEEDBACK CONTROLLER; INFINITE DIMENSIONS; OBSERVER-BASED FEEDBACK CONTROL; STATE FEEDBACK CONTROLLER;

DELAY CONTROL SYSTEMS;

EID: 77953763712     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DSCC2009-2590     Document Type: Conference Paper

References (24)

1. Chen, C. T., 1984. Linear System Theory and Design. Holt, Rinehart and Winston, New York.
2. Richard, J. P., 2003. "Time-delay systems: an overview of some recent advances and open problems". Automatica, 39(10), pp. 1667-1694.
3. Zhong, Q.-C., 2006. Robust Control of Time-Delay Systems. Springer, London.
4. Gu, K., Kharitonov, V., and Chen, J., 2003. Stability of Time-delay Systems. Birkhäuser, Boston, MA.
5. Yi, S., Nelson, P. W, and Ulsoy, A. G., 2009. "Eigen-value assignment via the Lambert W function for control for time-delay systems". Journal of Vibration and Control. (in press, invited).
6. Silva, G. J., Datta, A., and Bhattacharyya, S. P., 2005. PID Controllers for Time-delay Systems. Birkhäuser, Boston.
7. Yi, S., Nelson, P. W., and Ulsoy, A. G., 2008. "Analysis and control of time delayed systems via the Lambert W function,". In Proceedings of 17th IFAC World Congress, Seoul, South Korea, pp. 13414-13419.
8. Yi, S., Nelson, P. W., and Ulsoy, A. G., 2007. "Survey on analysis of time delayed systems via the lambert w function". Dynamics of Continuous, Discrete and Impulsive Systems (Series A), 14(S2), pp. 296-301.
9. Yi, S., Nelson, P. W., and Ulsoy, A. G., 2007. "Delay differential equations via the matrix Lambert W function and bifurcation analysis: Application to machine tool chatter". Mathematical Biosciences and Engineering, 4(2), pp. 355-368. (Pubitemid 47147354)
10. Yi, S., Nelson, P. W., and Ulsoy, A. G., 2008. "Controllability and observability of systems of linear delay differential equations via the matrix Lambert W function". IEEE Transactions on Automatic Control, 53(3), pp. 854-860.
11. Yi, S., Nelson, P. W., and Ulsoy, A. G., 2008. "Robust control and time-domain specifications for systems for delay differential equations via eigenvalue assignment". In Proceedings of American Control Conference, New York, NY, USA, pp. 4298-4933.
12. Hale, J. K., and Lunel, S. M. V., 1993. Introduction to Functional Differential Equations. Springer-Verlag, New York.
13. Bengea, S. C., Li, X. Q., and DeCarlo, R. A., 2004. "Combined controller-observer design for uncertain time delay systems with application to engine idle speed control". Journal of Dynamic Systems Measurement and Control, 126(4), pp. 772-780.
14. Bhat, K. P. M., and Koivo, H. N., 1976. "An observer theory for time delay systems". IEEE Transactions on Automatic Control, AC-21(2), pp. 266-269.
15. Pearson, A. E., and Fiagbedzi, Y. A., 1989. "An obsever for time lag systems". IEEE Transactions on Automatic Control, 34(7), pp. 775-777.
16. Salamon, D., 1980. "Observers and duality between observation and state feedback for time-delay systems". IEEE Transactions on Automatic Control, 25(6), pp. 1187-1192.
17. Jankovic, M., and Kolmanovsky, I., 2009. Developments in Control of Time-Delay Systems for Automotive Power-train Applications. Delay Differential Equations: Recent Advances and New Directions. Springer.
18. Trinh, H., 1999. "Linear functional state observer for time-delay systems". International Journal of Control, 72(18), pp. 1642-1658.
19. Pila, A. W., Shaked, U., and de Souza, C. E., 1999. "H-infinity filtering for continuous-time linear systems with delay". IEEE Transactions on Automatic Control, 44(7), pp. 1412-1417.
20. Asl, F. M., and Ulsoy, A. G., 2003. "Analysis of a system of linear delay differential equations". Journal of Dynamic Systems, Measurement and Control, 125(2), pp. 215-223.
21. Corless, R. M., Gonnet, G. H., Hare, D. G., Jeffrey, D. J., and Knuth, D. E., 1996. "On the Lambert W function". Advances in Computational Mathematics, 5(4), pp. 329-359.
22. Franklin, G. F., Powell, J. D., and Emami-Naeini, A., 2005. Feedback Control of Dynamic Systems. Pearson Prentice Hall, Upper Saddle River, NJ.
23. Jankovic, M., and Kolmanovsky, I., 2000. "Constructive Lyapunov control design for turbocharged diesel engines". IEEE Transactions on Control Systems Technology, 8(2), pp. 288-299.
24. Jankovic, M., 2001. "Control design for a diesel engine model with time delay". In Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, pp. 117-122.