Variable structure control with sliding sector for hybrid systems

Proceedings of the 2006 International Workshop on Variable Structure Systems, VSS'06

Volumn 2006, Issue , 2006, Pages 286-291

  Pan, Yaodong ^a   Furuta, Katsuhisa ^a  

^a TOKYO DENKI UNIVERSITY   (Japan)

Author keywords

Hybrid system; Lyapunov function; Sliding sector; Unstable subsystem; Variable structure control

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONTROL EQUIPMENT; CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; LINEAR SYSTEMS; LYAPUNOV METHODS; SLIDING MODE CONTROL;

CONVEX COMBINATIONS; HYBRID SYSTEMS; UNSTABLE SUBSYSTEMS; VARIABLE STRUCTURE CONTROL;

CONTROL THEORY;

EID: 33845597779     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/VSS.2006.1644532     Document Type: Conference Paper

References (14)

1. L. Tavernini, "Differential automata and their discrete simulators," Nonlinear Analysis. Theory Methods and Applications, vol. 11-6, pp. 665-683, 1987.
2. A. V. Savkin, Petersen, E. I. R., Skafidas, and R. J. Evans, "Hybrid dynamical systems: Robust control synthesis problems," Systems and Control Letters, vol. 29-2, pp. 81-90, 1996.
3. U. Utkin, Sliding Modes in Control and Optimization. Springer-Verlag, 1992.
4. K. Furuta, "Sliding mode control of a discrete system," System & Control Letters, vol. 14, pp. 145-152, 1990.
5. K. Furuta and Y. Pan, "Sliding sectors for vs controller," Automatica, vol. 36-2, pp. 211-228, 2000.
6. Y. Pan, S. Suzuki, and K. Furuta, "Hybrid control with sliding sector," in IFAC'05 World Congress, Spain, 2005.
7. H. Tsien, Engineering Cybernetics. PA, USA: McGraw-HILL Book Company, Inc., 1954.
8. B. Blackman, "Extremum-seeking regulators," in An Exposition of Adaptive Control. New York: The Macmillan Company, 1962, pp. 36-50.
9. K. Astrom and B. Wittenmark, Adaptive Control, 2nd ed. MA: Addison-Wesley, 1995.
10. M. Krstic, "Performance improvement and limitations in extremum seeking control," System & Control Letters, vol. 39, pp. 313-326, 2000.
11. S.K.Korovin and V. Utkin, "Using sliding modes in static optimization and nonlinear programming," Automatica, vol. 10-5, pp. 525-532, 1974.
12. S. Drakunov and Ümit Özgüner, "Optimization of nonlinear system output via sliding mode approach," in IEEE International Workshop on Variable Structure and Lyapunov Control of Uncertain Dynamical System, UK, 1992, pp. 61-62.
13. Y. Pan and Ümit Özgüner, "Stability and performance improvement of extremum seeking control with sliding mode," Int. J. Control, vol. 60, pp. 968-985, 2003.
14. K. Furuta and Y. Pan, "A new approach to design a sliding sector for vss controller," in Proc. of the American Control Conference, Seattle, 1995, pp. 1304-1308.