High-gain observers with sliding mode for state and unknown input estimations

IEEE Transactions on Industrial Electronics

Volumn 56, Issue 9, 2009, Pages 3386-3393

  Veluvolu, Kalyana C ^a   Soh, Yeng Chai ^b  

^a Kyungpook National University   (South Korea)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

High gain observers (HGOs); Nonlinear transformation; Sliding mode observers (SMOs); Unknown input estimations

Indexed keywords

DISTRIBUTION VECTORS; EQUIVALENT CONTROL; ESTIMATION ERRORS; FAULT DETECTION AND ISOLATION; HIGH-GAIN OBSERVERS; HIGH-GAIN OBSERVERS (HGOS); LIPSCHITZ CONDITIONS; LIPSCHITZIAN FUNCTIONS; NON-LINEAR OBSERVER; NONLINEAR TRANSFORMATION; SIMULATION RESULT; SLIDING MODES; SLIDING SURFACE; SLIDING-MODE OBSERVERS (SMOS); STRUCTURAL ASSUMPTION; UNKNOWN INPUT ESTIMATION; UNKNOWN INPUT ESTIMATIONS; UNKNOWN INPUTS;

ESTIMATION; FAULT DETECTION; NONLINEAR SYSTEMS; PENDULUMS; PETROLEUM REFINERIES; STATE ESTIMATION;

NONLINEAR ANALYSIS;

EID: 69349100599     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2009.2023636     Document Type: Article

References (36)

1. J. P. Gauthier, H. Hammouri, and S. Othman, "A simple observer for nonlinear systems applications to bioreactors," IEEE Trans. Autom. Control, vol. 37, no. 6, pp. 875-880, Jun. 1992.
2. J. P. Gauthier and I. A. K. Kupka, "Observability and observers for nonlinear systems," SIAM J. Control Optim., vol. 32, no. 4, pp. 975-994, Jul. 1994.
3. F. Deza, E. Busvelle, J. P. Gauthier, and D. Rakotopara, "High gain estimation for nonlinear systems," Syst. Control Lett., vol. 18, no. 4, pp. 295-299, Apr. 1992.
4. F. Deza, D. Bossanne, E. Busvelle, J. P. Gauthier, and D. Rakotopara, "Exponential observers for nonlinear systems," IEEE Trans. Autom. Control, vol. 38, no. 3, pp. 482-484, Mar. 1993.
5. K. Busawon, M. Farza, and H. Hammouri, "Observer design for a special class of nonlinear systems," Int. J. Control, vol. 71, no. 3, pp. 405-418, Oct. 1998.
6. K. Busawon and J. De León-Morales, "An observer design for uniformly observable non-linear systems," Int. J. Control, vol. 73, no. 15, pp. 1375-1381, 2000.
7. A. N. Atassi and H. K. Khalil, "Separation results for the stabilization of nonlinear systems using different high-gain observer design," Syst. Control Lett., vol. 39, no. 3, pp. 183-191, Mar. 2000.
8. A.M. Dabroom and H. K. Khalil, "Discrete-time implementation of high-gain observers for numerical differentiation," Int. J. Control vol. 72, no. 17, pp. 1523-1537, Nov. 1999.
9. O. Suengrohk and H. K. Khalil, "Nonlinear output-feedback tracking using high-gain observer and variable structure control," Automatica vol. 33, no. 10, pp. 1845-1856, Oct. 1997.
10. M. S. Mahmoud and H. K. Khalil, "Robustness of high-gain observer-based nonlinear controllers to unmodeled actuators and sensors," Automatica, vol. 38, no. 2, pp. 361-369, Feb. 2002.
11. A. M. Dabroom and H. K. Khalil, "Output feedback sampled-data control of nonlinear systems using high-gain observers," IEEE Trans. Autom. Control, vol. 46, no. 11, pp. 1712-1725, Nov. 2001.
12. V. I. Utkin, Sliding Modes in Control and Optimizations. Berlin, Germany: Springer-Verlag, 1992.
13. B. L. Walcott and S. H. Zak, "State observation of nonlinear uncertain dynamical systems," IEEE Trans. Autom. Control, vol. AC-32, no. 2, pp. 166-170, Feb. 1987.
14. S. Drakunov and V. Utkin, "Sliding mode observers. Tutorial," in Proc. 34th IEEE Conf. Decision Control, New Orleans, LA, 1995, pp. 3376-3378.
15. J. P. Barbot, T. Boukhobza, and M. Djemai, "Sliding mode observer for triangular input form," in Proc. 35th IEEE Conf. Decision Control Kobe, Japan, 1996, pp. 1489-1490.
16. C. Edwards, S. K. Spurgeon, and R. J. Patton, "Sliding mode observers for fault detection and isolation," Automatica, vol. 36, no. 4, pp. 541-553, Apr. 2000.
17. Y. Xiong and M. Saif, "Sliding mode observer for nonlinear uncertain systems," IEEE Trans. Autom. Control, vol. 46, no. 12, pp. 2012-2017, Dec. 2001.
18. A. J. Koshkouei and A. S. I. Zinober, "Sliding mode state observation for non-linear systems," Int. J. Control, vol. 77, no. 2, pp. 118-127, Jan. 2004.
19. K. C. Veluvolu, Y. C. Soh, and W. Cao, "Robust discrete-time nonlinear sliding mode state estimation of uncertain nonlinear systems," Int. J. Robust Nonlinear Control, vol. 17, no. 9, pp. 803-828, Jun. 2007.
20. K. C. Veluvolu, Y. C. Soh, and W. Cao, "Robust observer with sliding mode estimation for nonlinear uncertain systems," IET Control Theory Appl., vol. 1, no. 5, pp. 1533-1540, Sep. 2007.
21. K. C. Veluvolu and Y. C. Soh, "Discrete-time sliding-mode state and unknown input estimations for nonlinear systems," IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3443-3452, Sep. 2009.
22. C. Edwards and S. K. Spurgeon, "On the development of discontinuous observers," Int. J. Control, vol. 59, no. 5, pp. 1211-1229, May 1994.
23. J. Davila, L. Fridman, and A. Levant, "Second-order sliding-mode observer for mechanical systems," IEEE Trans. Autom. Control, vol. 50, no. 11, pp. 1785-1789, Nov. 2005.
24. R. Merzouki, J. A. Davila, L. Fridman, and J. C. Cadiou, "Backlash phenomenon observation and identification in electromechanical system," Control Eng. Pract., vol. 15, no. 4, pp. 447-457, Apr. 2007.
25. W. F. Xie, "Sliding-mode-observer-based adaptive control for servo actuator with friction," IEEE Trans. Ind. Electron., vol. 54, no. 3, pp. 1517-1527, Jun. 2007.
26. C. Lascu and G. D. Andreescu, "Sliding-mode observer and improved integrator with DC-offset compensation for flux estimation in sensorless-controlled induction motors," IEEE Trans. Ind. Electron. vol. 53, no. 3, pp. 785-794, Jun. 2006.
27. P. Koronki, H. Hashimoto, and V. Utkin, "Direct torsion control of flexible shaft in an observer-based discrete-time sliding mode," IEEE Trans. Ind. Electron., vol. 45, no. 2, pp. 291-296, Apr. 1998.
28. K. Abidi and A. Sabanovic, "Sliding-mode control for high-precision motion of a piezostage," IEEE Trans. Ind. Electron., vol. 54, no. 1, pp. 629-637, Feb. 2007.
29. A. B. Proca and A. Keyhani, "Sliding-mode flux observer with online rotor parameter estimation for induction motors," IEEE Trans. Ind. Electron., vol. 54, no. 2, pp. 716-723, Apr. 2007.
30. M. Comanescu, "An induction-motor speed estimator based on integral sliding-mode current control," IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3414-3423, Sep. 2009.
31. B. Bandyopadhyay and D. Fulwani, "High-performance tracking controller for discrete plant using nonlinear sliding surface," IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3628-3637, Sep. 2009.
32. S. N. Huang, K. K. Tan, and T. H. Lee, "Adaptive sliding-mode control of piezoelectric actuators," IEEE Trans. Ind. Electron., vol. 56, no. 9, pp. 3514-3522, Sep. 2009.
33. R. Marino and P. Tomei, Nonlinear Control Design - Geometric, Adaptive and Robust. London, U.K.: Prentice-Hall, 1995.
34. S. Raghavan and J. K. Hedrick, "Observer design for a class of nonlinear systems," Int. J. Control, vol. 59, no. 2, pp. 515-528, Feb. 1994.
35. D. Dochain, "State and parameter estimation in chemical and biochemical processes: A tutorial," J. Process Control, vol. 13, no. 8, pp. 801-818, Dec. 2003.
36. M. Soroush, "State and parameter estimations and their applications in process control," Comput. Chem. Eng., vol. 23, no. 2, pp. 229-245, Dec. 1998.