Stability analysis and bang-bang sliding control of a class of single-input bilinear systems

IEEE Transactions on Automatic Control

Volumn 45, Issue 11, 2000, Pages 2150-2154

  Chen, Yon Ping ^a   Chang, Jeang Lin ^b   Lai, Kuo Ming ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

^b ORIENTAL INSTITUTE OF TECHNOLOGY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BANG BANG CONTROL SYSTEMS; CONTROL SYSTEM ANALYSIS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; INVARIANCE; LYAPUNOV METHODS; POLES AND ZEROS; SET THEORY; SLIDING MODE CONTROL; STATE ASSIGNMENT; SYSTEM STABILITY;

BANG BANG SLIDING CONTROL; EIGENSTRUCTURE ASSIGNMENT METHOD; LINEAR TIME INVARIANT SYSTEMS; POLE ASSIGNMENT METHOD; SINGLE INPUT BILINEAR SYSTEMS;

LINEAR CONTROL SYSTEMS;

EID: 0034317319     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.887648     Document Type: Article

References (12)

1. R. R. Mohler, Nonlinear Systems, Volume I, Dynamics and Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
2. _, Nonlinear Systems, Volume II, Applications to Bilinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.
3. J. P. Quinn, "Stabilization of bilinear systems by quadratic feedback controllers," J. Math. Anal. Appl., vol. 75, pp. 66-80, 1980.
4. P. O. Gutman, "Stabilizing controll ers for bilinear systems," IEEE Trans. Automat. Contr., vol. AC-26, pp. 917-922, 1981.
5. H. Sira-Ramirez, "Sliding motions in bilinear switched networks," IEEE Trans. Circuits Syst., vol. CAS-34, pp. 919-933, 1987.
6. H. Sira-Ramirez, R. Ortega, R. Perez-Moreno, and M. Garcia-Esteban, "A sliding mode controller-observer for dc-to-dc power converters: A passivity approach," in Proc. 34th Conf. Decision Contr., New Orleans, LA, 1995.
7. V. I. Utkin, Sliding Regimes and Their Applications in Variable Structure Systems. Moscow: MIR, 1978.
8. U. Itkis, Control System of Variable Structure. New York: Wiley, 1976.
9. C. T. Chen, Linear System Theory and Design: Winston, 1984.
10. O. M. E. Elghezawi, A. S. I. Zinober, and S. A. Billings, "Analysis and design of variable structure systems using a geometric approach," Int. J. Contr., vol. 38, pp. 657-671, 1983.
11. W. C. Su, S. V. Drakunov, and U. Ozguner, "Constructing discontinuity surfaces for variable structure system: A Lyapunov approach," Automatica, vol. 32, pp. 925-928, 1996.
12. R. Longchamp, "Stable feedback control of bilinear systems," IEEE Trans. Automat. Contr., vol. AC-25, pp. 302-306, 1980.