Robust reduced-order sliding mode observer design

International Journal of Systems Science

Volumn 42, Issue 4, 2011, Pages 567-577

  Jafarov, Elbrous M ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

LMI stability conditions; reduced order observer; sliding mode control; triple state transformations; uncertain dynamical systems

Indexed keywords

CANONICAL FORM; DESIGN TECHNIQUE; EXISTENCE CONDITIONS; GLOBAL ASYMPTOTICAL STABILITY; LINEAR MATRIX INEQUALITY TECHNIQUES; LYAPUNOV FULL QUADRATIC FORM; MULTIPLE INPUT AND MULTIPLE OUTPUT SYSTEMS; OBSERVER ERRORS; ORIGINAL SYSTEMS; OUTPUT VARIABLES; REDUCED ORDER; REDUCED-ORDER OBSERVERS; SIMULATION EXAMPLE; SLIDING MODE OBSERVERS; SLIDING MODES; STABILITY CONDITION; TRIPLE STATE TRANSFORMATIONS; UNCERTAIN DYNAMICAL SYSTEMS;

DESIGN; DYNAMICAL SYSTEMS; LINEAR MATRIX INEQUALITIES; LINEAR TRANSFORMATIONS; MATHEMATICAL TRANSFORMATIONS; NUMBER THEORY; OBSERVABILITY; SLIDING MODE CONTROL; SYSTEM STABILITY; UNCERTAIN SYSTEMS;

CONTROL SYSTEM STABILITY;

EID: 79551514811     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721.2010.533031     Document Type: Article

References (25)

1. Bejarano, F.J., Fridman, L., and Poznyak, A. (2007), 'Output Integral Sliding Mode Control Based on Algebraic Hierarchical Observer', International Journal of Control, 80, 443-453.
2. Bowong, S., Kakmeni, F.M.M., and Tchawoua, C. (2004),'Controlled Synchronization of Chaotic Systems with Uncertainties via a Sliding Mode Control Design', Physical Review E, 70, 066217-10.
3. Calise, A.J., and Kramer, F.S. (1984), 'A Variable Structure Approach to Robust Control of VTOL Aircraft', International Journal of Guidance, Control and Dynamics, 7, 620-626.
4. Choi, H.H., and Ro, K.-S. (2005), 'LMI Based Sliding Mode Observer Design Method', IEE Proceedings: Control Theory and Applications, 152, 113-115.
5. Dorling, C.M., and Zinober, A.S.I. (1986), 'Two Approaches to Hyperplane Design in Multivariable Variable Structure Control Systems', International Journal of Control, 44, 65-82.
6. Edwards, C., and Spurgeon, S.K. (1994), 'On the Development of Discontinuous Observers', International Journal of Control, 59, 1211-1229.
7. Edwards, C., and Spurgeon, S.K. (1995), 'Sliding Mode Stabilization of Uncertain Systems Using only Output Information', International Journal of Control, 62, 1129-1144.
8. Edwards, C., and Spurgeon, S.K. (1998), Sliding Mode Control, London: Taylor and Francis Ltd.
9. Edwards, Ch., Spurgeon, S.K., and Patton, R. (2000), 'Sliding Mode Observer for Fault Defection Isolation', Automatica, 36, 541-553.
10. Hashimoto, H., Utkin, V.I., Xu, J.X., Susuki, H., and Harashima, F. (1990), 'VSS Observer for Linear Time-varying System', in Proceedings of IECON'90, pp. 34-39.
11. Hautus, M.L. (1983), 'Strong Detectability and Observers', Linear Algebra and its Applications, 50, 353-368.
12. He, Y., and Wang, Q.G. (2006), 'An Improved ILMI Method for Static Output Feedback Control with Applications to Multivariable PID Control', IEEE Transactions on Automatic Control, 51, 1678-1683.
13. Hung, J.Y., Gao, B., and Hung, J.C. (1993), 'Variable Structure Control: A Survey', IEEE Transactions on Industrial Electronics, 40, 2-22.
14. Jafarov, E.M. (2005), 'Design Modification of Sliding Mode Observers for Uncertain MIMO Systems Without and with Time-delay', Asian Journal of Control, 7, 380-392.
15. Koshkoue, A.J., and Zinober, A.S.I. (2004), 'Sliding Mode State Observation for Non-linear Systems', International Journal of Control, 77, 118-127.
16. Kwakernaak, H., and Sivan, R. (1972), Linear Optimal Control Systems, New York: John Wiley.
17. Luenberger D.G., 1971, 'An Introduction to Observers', IEEE Transactions on Automatic Control, 16, 596-602.
18. Mudge, S.K., and Patton, R.J. (1987), 'Enhanced Assessment of Robustness for an Aircraft's Sliding Mode Controller', International Journal of Guidance, Control and Dynamics, 11, 500-507.
19. Sira-Ramirez, H., Spurgeon, S.K., and Zinober, A.S.I. (1994), 'Robust Observer-Controller Design for Linear Systems', in Variable Structure and Lyapunov Control, ed. A.S.I. Zinober, London: Springer-Verlag, pp. 161-180.
20. Slotine, J.J.E., Hedrick, J.K., and Misawa, E.A. (1987), 'On Sliding Observers for Non-linear Systems', Transactions of the ASME Journal of Dynamic Systems, Measurement and Control, 122, 245-252.
21. Tan, C.P., and Edwards, C. (2001), 'An LMI for Designing Sliding Mode Observers', International Journal of Control, 74, 1559-1568.
22. Utkin, V.I. (1992), Sliding Modes in Control Optimization, Berlin: Springer-Verlag.
23. Walcott, B.L., and Zak, S.H. (1988), 'Combined Observer Controller Synthesis for Uncertain Dynamical Systems with Applications', IEEE Transactions on Systems, Man and Cybernetics, 18, 88-104.
24. Watanabe, K., Fukuda, T., and Tzateftas, S.G. (1992), 'Sliding Mode Control and a Variable Structure System Observer as a Dual Problem for Systems with Non-linear Uncertainties', International Journal of Systems Science, 23, 1991-2001.
25. Yan, X.-G., Edwards, C., and Spurgeon, S.K. (2004), 'Output Feedback Sliding Mode Control for Non-minimum Phase Systems with Non-linear Disturbances', International Journal of Control, 77, 1353-1361.