Stability analysis of sliding-mode feedback control

Control and Cybernetics

Volumn 38, Issue 4, 2009, Pages 1169-1192

  Clarke, Francis H ^a   Vinter, Richard B ^b  

^a UNIVERSITÉ DE LYON   (France)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Discontinuous control; Lyapunov functions; Robustness; Sliding mode control; Stabilization

Indexed keywords

EID: 77954507640     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (10)

1. CLARKE, F., LEDYAEV, Y.S., RIFFORD, L. and STERN, R. (2000) Feedback stabilization and Lyapunov functions. SIAM J. Control Optim. 39, 25-48.
2. CLARKE, F., LEDYAEV, Y.S., SONTAG, B.D. and SUBBOTIN, A.I. (1997) Asymptotic controllability implies feedback stabilization. I.E.E.E. Trans. Aut Control 42, 1394-1407.
3. EDWARDS C. and SPURGEON S.K. (1998) Sliding Mode Control. Taylor and Francis, London.
4. FILIPPOV, A.F. (1988) Differential Equations with Discontinuous Righthand Sides. Kluwer Academic Publishers, Dordrecht.
5. LEDYAEV, Y.S. and SONTAG, E. D. (1999) A Lyapunov characterization of robust stabilization. Nonlinear Analysis 37, 813-840.
6. SLOTINE, J. J.E. and Li, W. (1991) Applied Nonlinear Control Prentice Hall, Englewood Cliffs NJ.
7. SONTAG, E.D. (1999) Stability and stabilization: discontinuities and the effect of disturbances. In: F. Clarke and R. Stern, eds., Nonlinear Analysis, Differential Equations and Control NATO ASI, Montreal 1998. Kluwer Acad. Publ., Dordrecht, 551-598.
8. UTKIN, V.I. (1992) Sliding Modes in Control Optimization. Springer Verlag, Berlin.
9. WILLEMS, J.L. (1970) Stability Theory of Dynamical Systems. Thomas Nelson and Sons, London.
10. YOUNG, K.D., UTKIN, V.I. and ÖZGÜNER, Ü. (1999) A control engineer's guide to sliding mode control. IEEE Trans. Control Sys. Tech. 7, 328-342.