Design of simultaneously stabilizing controllers and its application to fault-tolerant lane-keeping controller design for automated vehicles

IEEE Transactions on Control Systems Technology

Volumn 12, Issue 3, 2004, Pages 329-339

  Suryanarayanan, Shashikanth ^a   Tomizuka, Masayoshi ^b   Suzuki, Tatsuya ^c  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c NAGOYA UNIVERSITY   (Japan)

Author keywords

Automated highways; Fault tolerance; H infinity control; Linear matrix inequality (LMI); Simultaneous stability

Indexed keywords

FAULT TOLERANT COMPUTER SYSTEMS; INTELLIGENT VEHICLE HIGHWAY SYSTEMS; LINEAR CONTROL SYSTEMS; OPTIMIZATION; ROBUSTNESS (CONTROL SYSTEMS); SENSORS; SYSTEM STABILITY;

AUTOMATED VEHICLES; FAULT-TOLERANT LANE-KEEPING CONTROL; LINEAR MATRIX INEQUALITY; SIMULTANEOUS STABILITY;

CONTROL SYSTEM SYNTHESIS;

EID: 2442505769     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2004.825130     Document Type: Article

References (28)

1. E. Emre, "Simultaneous stabilization with fixed closed loop characteristic polynomial," IEEE Trans. Automat. Contr., vol. AC-28, pp. 103-104, Jan. 1983.
2. J. Ackermann, Uncertainty and Control. Berlin, Germany: Springer-Verlag, 1985, Lecture Notes Control Inform. Sci.
3. A. Alos, "Stabilization of a class of plants with possible loss of outputs or actuator failures," IEEE Trans. Automat. Contr., vol. AC-28, pp. 231-233, Feb. 1983.
4. R. Saeks and J. Murray, "Fractional representation, algebraic geometry and the simultaneous stabilization problem," IEEE Trans. Automat. Contr., vol. AC-27, pp. 895-903 Aug. 1982.
5. M. Vidyasagar and N. Viswanadham, "Algebraic design techniques for reliable stabilization," IEEE Trans. Automat. Contr., vol. AC-27, pp. 1085-1095, Oct. 1982.
6. V. Blondel, "A counterexample to a simultaneous stabilization condition for systems with identical unstable poles and zeros," Syst. Control Lett., vol. 17, pp. 339-341, 1991.
7. V. Blondel et al., "Simultaneous stabilization of three or more plants: conditions on real axis do not suffice," SIAM J. Control Optim., vol. 32, no. 2, pp. 572-590, 1994.
8. V. Blondel and M. Gevers, "The simultaneous stabilizability question of three linear systems is rationally undecidable," J. Math. Control Signals Syst., vol. 6, no. 2, pp. 135-145, 1993.
9. P. P. Khargonekar et al., "Robust control of linear time-invariant plants using periodic compensation," IEEE Trans. Automat. Contr., vol. AC-30, pp. 1088-1096, Nov. 1985.
10. B. A. Francis and T. T. Georgiou, "Stability theory for linear time-invariant plants with periodic digital controllers," IEEE Trans. Automat. Contr., vol. 33, pp. 820-832, Sept. 1988.
11. P. Kabamba and C. Yang, "Simultaneous controller design for linear time invariant systems," IEEE Trans. Automat. Contr., vol. 36, pp. 106-111, Jan. 1991.
12. M. Vidyasagar, Control System Synthesis: A Factorization Approach. Cambridge, MA: MIT Press, 1985.
13. G. E. Dullerud and F. Paganini, A Course in Robust Control Theory: A Convex Approach. New York: Springer-Verlag, 2001.
14. R. Isermann, "Supervision, fault detection and fault diagnosis methods - an introduction," Control Eng. Practice, vol. 5, pp. 639-652, 1997.
15. H. E. Rauch, "Autonomous control reconfiguration," IEEE Control Syst. Mag., vol. 15, pp. 37-48, Dec. 1995.
16. H. Noura et al., "Fault-tolerant control using simultaneous stabilization," in Proc. 1993 Int. Conf. Systems, Man and Cybernetics, Le Toquet, France, Oct. 1993, pp. 605-610.
17. P. Varaiya, "Smart cars on smart roads: problems of control," IEEE Trans. Automat. Contr., vol. 38, pp. 195-207, Feb. 1993.
18. R. Rajamani et al., "Demonstration of integrated longitudinal and lateral control for the operation of automated vehicles in platoons," IEEE Trans. Contr. Syst. Technol., vol. 8, pp. 694-708, July 2000.
19. S. E. Shladover et al., "Steering controller design for automated guideway transit vehicles," ASME J. Dynamic Syst. Meas. Control, vol. 100, no. 1, pp. 1-8, 1978.
20. P. Hingwe, "Robustness and Performance in the Lateral Control of Vehicles in Automated Highway Systems," Ph.D. dissertation, Univ. California, Berkeley, CA, 1997.
21. S. Patwardhan et al., "A general framework for automatic steering control: system analysis," in Proc. American Control Conf., Albuquerque, NM, June 1997, pp. 1598-1602.
22. S. Guldner et al., "Study of design directions for vehicle lateral control," in Proc. 36th Conf. Decision and Control, San Diego, CA, 1996, pp. 1732-1737.
23. J. C. Doyle, "Lecture Notes for ONR/Honeywell Workshop on Advances in Multivariable Control.,", Minneapolis, MN, 1984.
24. T. T. Tay, J. B. Moore, and R. Horowitz, "Indirect adaptive techniques for fixed controller performance enhancement," Int. J. Control, vol. 50, no. 5, pp. 1941-1959, 1989.
25. S. Suryanarayanan and M. Tomizuka, "Lateral control of automated vehicles: on degraded mode control problems," in Proc. 41st Int. Mechanical Engineering Congress and Exposition, New York, Nov. 2001.
26. S. Boyd and C. Barrat, Linear Controller Design: Limits of Performance. Englewood Cliffs, NJ: Prentice-Hall, 1991.
27. T. L. Vincent and W. J. Grantham, Optimality in Parametric Systems. New York: Wiley, 1981.
28. D. Sauter et al., "Fault-tolerant control in dynamic systems using convex optimization," in Proc. 1998 Int. Symp. Intelligent Control, Gaithersburg, MD, Sept. 1998, pp. 187-192.