A new approach to simultaneous stabilisation with D stability and its application to control of antilock braking systems

2001 European Control Conference, ECC 2001

Volumn , Issue , 2001, Pages 612-617

  Wang, Y ^a   Schmitt Hartmann, T ^a   Schinkel, M ^a   Hunt, K J ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

Author keywords

ABS controller; Automotive systems; control application; Simultaneous stabilisation; Strong simultaneous stabilisation

Indexed keywords

ANTI-LOCK BRAKING SYSTEMS; BRAKING; STABILIZATION; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS;

ANTI-LOCK BRAKING SYSTEMS (ABS); AUTOMOTIVE SYSTEMS; CONTROL APPLICATIONS; CONTROL COMMUNITY; CONTROLLER DESIGNS; DISCRETE SYSTEMS; HURWITZ STABILITY; PID CONTROLLER TUNING;

CONTROLLERS;

EID: 84947430679     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2001.7075976     Document Type: Conference Paper

References (15)

1. B. R. Barmish, C. V. Hollot, F. J. Kraus, and R. Tempo, "Extreme point results for robust stabilisation of interval plants with first order compensators," IEEE Trans. on Automatic Control, Vol. 37, No. 6, pp. 707-714, (1992).
2. V. D. Blondel, E. D. Sontag, M. Vidyasagar and J. C. Willems, Open Problems in Mathematical Systems and Control Theory, Springger, London, (1998).
3. J. W. Daniel, "Newton's method for nonlinear inequalities", Numer. Math. Vol. 40, pp. 381-387, (1973).
4. J. E. Dennis JR, M. El-alem, and K. Williamson, "A trust-region approach to nonlinear systems of equalities and inequalities," SIAM J. Optimisation, Vol. 9, No. 2, pp. 291-315, (1999).
5. J. E. Dennies JR and R. B. Schanabel, Numerical methods for unconstrained optimisation and nonlinear equations, Prentice-Hall, Amsterdam, (1989).
6. K. J. Hunt, J. C. Kalkkuhl, H. Fritz, and T. A. Johansen, "Constructive empirical modelling of longitudinal vehicle dynamics using local model networks," Control Eng. Practice, Vol. 4, N0. 2, pp. 167-178, (1996).
7. Y. Jia and J. Ackermann, "Some new results on simultaneous stabilisation of linear plants," Proceedings of IFAC 14th Triennial world conference, Beijing, P. R. China, pp. 219-224, (1998).
8. R. A. Luke, "Simultaneous guaranteed-cost vector-optimal performance design for collections of systems," J. of Guidance, Control, and Dynamics, Vol. 22, No. 1, pp. 96-102, (1999).
9. B. T. Polyak, "Gradient methods for solving equations and inequalities", USSR Comput. Math., Vol. 4, pp. 17-32, (1964).
10. B. N. Pshenichnyi, Newton's method for the solution of equalities and inequalities, Math. Notes Acad. Sci. USSR, Vol. 8, pp. 827-830, (1970).
11. S. M. Robinson, "Extension of Newton's method to non-linear functions with values in a cone", Numer. Math., Vol. 19, pp. 341-347, (1972).
12. V. L. Syrmos, C. T. Abdallah, P. Dorato, and K. Grigoriadis, "Static output feedback-A survey," Auomatica, Vol. 33, No. 2, pp. 125-137, (1997).
13. Y. Wang and K. Hunt, "A numerical approach to the simultaneous stabilisation and strong simultaneous stabilisation of r-tuple plants with D stability", Research report, Center for Systems & Control, Glasgow University, (1999).
14. K. Wei, "The solution of a transcendental problem and its applications in simultaneous stabilisation problems," IEEE Trans. on Automatic Control, Vol. 37, No. 9, pp. 1305-1315, (1992).
15. Q. Zhao and J. Jiang, "Reliable state feedback control system design against actuator failures," Automatica, Vol. 34, No. 10, pp. 1267-1272, (1998).