Output-Feedback Model-Reference Sliding Mode Control of Uncertain Multivariable Systems

IEEE Transactions on Automatic Control

Volumn 48, Issue 12, 2003, Pages 2245-2250

  Cunha, José Paulo V S ^a   Hsu, Liu ^b   Costa, Ramon R ^b   Lizarralde, Fernando ^b  

^a STATE UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^b FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Model reference control; Multivariable systems; Output feedback; Sliding mode; Unit vector control

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CLOSED LOOP CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FEEDBACK; MATRIX ALGEBRA; SLIDING MODE CONTROL; VECTORS;

MODEL-REFERENCE CONTROL; OUTPUT FEEDBACK; UNIT VECTOR CONTROL;

MULTIVARIABLE SYSTEMS;

EID: 0347316626     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.820156     Document Type: Article

References (25)

1. B. L̇. Walcott and S.Żak, "Combined observer-controller synthesis for uncertain dynamical systems with applications," IEEE Trans. Syst., Man, Cybern., vol. 18, pp. 88-104, Feb. 1988.
2. S. V. Emelyanov, S. K. Korovin, A. L. Nersisian, and Y. Y. Nisenzon, "Discontinuous output feedback stabilizing an uncertain MIMO plant," Int. J. Control, vol. 55, no. 1, pp. 83-107, 1992.
3. S. Oh and H. K. Khalil, "Output feedback stabilization using variable structure control," Int. J. Control, vol. 62, no. 4, pp. 831-848, 1995.
4. C. Kwan, "Further results on variable structure output feedback controllers," IEEE Trans. Automat. Contr., vol. 46, pp. 1505-1508, Sept. 2001.
5. H. H. Choi, "Variable structure output feedback control design for a class of uncertain dynamic systems," Automatica, vol. 38, no. 2, pp. 335-341, 2002.
6. L. Hsu and R. R. Costa, "Variable structure model reference adaptive control using only input and output measurement," Int. J. Control, pt. I, vol. 49, no. 2, pp. 399-416, 1989.
7. G. Tao and P. A. Ioannou, "A MRAC for multivariable plants with zero residual tracking error," in Proc. IEEE Conf. Decision Control, Tampa, FL, 1989, pp. 1597-1600.
8. C.-J. Chien, K.-C. Sun, A.-C. Wu, and L.-C. Fu, "A robust MRAC using variable structure design for multivariable plants," Automatica, vol. 32, no. 6, pp. 833-848, 1996.
9. S. K. Spurgeon, C. Edwards, and N. P. Foster, "Robust model reference control using a sliding mode controller/observer scheme with application to a helicopter problem," in Proc. IEEE Workshop Variable Structure Systems, 1996, pp. 36-41.
10. C. Edwards and S. K. Spurgeon, "Sliding mode output tracking with application to a multivariable high temperature furnace problem," Int. J. Robust Nonlinear Control, vol. 7, pp. 337-351, 1997.
11. H. Elliott and W. A. Wolovich, "A parameter adaptive control structure for linear multivariable systems," IEEE Trans. Automat. Contr., vol. AC-27, pp. 340-352, Feb. 1982.
12. A. F. Filippov, "Differential equations with discontinuous right-hand side," Amer. Math. Soc. Trans., vol. 42, no. 2, pp. 199-231, 1964.
13. P. A. Ioannou and J. Sun, Robust Adaptive Control. Upper Saddle River, NJ: Prentice-Hall, 1996.
14. J. P. V. S. Cunha, R. R. Costa, and L. Hsu, "Cooperative actuators for fault tolerant model-reference sliding mode control," in Proc. IEEE Int. Symp. Industrial Electronics, Rio de Janeiro, Brazil, June 2003.
15. L. Hsu, J. P. V. S. Cunha, R. R. Costa, and F. Lizarralde, Multivariable Output-Feedback Sliding Mode Control in Variable Structure Systems: Toward the 21st Century, X. Yu and J.-X Xu, Eds. New York: Springer-Verlag, 2002, pp. 283-313.
16. L. Hsu, F. Lizarralde, and A. D. Araújo, "New results on output-feedback variable structure adaptive control: design and stability analysis," IEEE Trans. Automat. Contr., vol. 42, pp. 386-393, Mar. 1997.
17. H. K. Khalil, Nonlinear Systems, 2 ed. Upper Saddle River, NJ: Prentice-Hall, 1996.
18. S. Sastry and M. Bodson, Adaptive Control: Stability, Convergence and Robustness. Upper Saddle River, NJ: Prentice-Hall, 1989.
19. L. Hsu, A. D. Araujo, and R. R. Costa, "Analysis and design of I/O based variable structure adaptive control," IEEE Trans. Automat. Contr., vol. 39, pp. 4-21, Jan. 1994.
20. M. de Mathelin and M. Bodson, "Multivariable adaptive control: Identifiable parameterizations and parameter convergence," IEEE Trans. Automat. Contr., vol. 39, pp. 1612-1617, Aug. 1994.
21. V. I. Utkin, Sliding Modes in Control Optimization. New York: Springer-Verlag, 1992.
22. S. V. Baida, "Unit sliding mode control in continuous- and discrete-time systems," Int. J. Control, vol. 57, no. 5, pp. 1125-1132, 1993.
23. E. P. Ryan, "Adaptive stabilization of multi-input nonlinear systems," Int. J. Robust Nonlinear Control, vol. 3, no. 2, pp. 169-181, 1993.
24. W. Kase and Y. Mutoh, "Suboptimal exact model matching for multivariable systems with measurement noise," IEEE Trans. Automat. Contr., vol. 45, pp. 1170-1175, June 2000.
25. P. Ioannou and K. Tsakalis, "A robust direct adaptive controller," IEEE Trans. Automat. Contr., vol. 31, pp. 1033-1043, Nov. 1986.