Combined backstepping and small-gain approach to adaptive output feedback control

Automatica

Volumn 35, Issue 6, 1999, Pages 1131-1139

  Jiang, Zhong Ping ^a,b  

^a University of California Riverside   (United States)

^b POLYTECHNIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CONTROL NONLINEARITIES; CONTROL SYSTEM SYNTHESIS; NONLINEAR SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

BACK STEPPING; SMALL GAIN TECHNIQUES;

FEEDBACK CONTROL;

EID: 0033149666     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0005-1098(99)00015-1     Document Type: Article

References (21)

1. Freeman, R., Krstić, M. and Kokotović, P. V. (1996). Robustness of adaptive nonlinear control to bounded uncertainties. Proc. IFAC 96 World Congress (Vol. F, pp. 329-334). San-Francisco.
2. Ioannou, P. A., & Kokotović, P. V. (1983). Adaptive Systems with Reduced Models. New York: Springer.
3. Ioannou, P. A., & Sun, J. (1996). Robust Adaptive Control. Upper Saddle River, NJ: Prentice-Hall.
4. Jiang, Z. P., & Mareels, I. (1997). A small gain control method for nonlinear cascaded systems with dynamic uncertainties, IEEE Trans. Automat. Control, 42, 292-308.
5. Jiang, Z. P., & Praly, L. (1996). A self-tuning robust nonlinear controller. Proce. IFAC 96 World Congress (Vol. K, pp. 73-78). San-Francisco.
6. Jiang, Z. P., & Praly, L. (1998). Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica, 34(7), 825-840.
7. Jiang, Z. P., Mareels, I., & Wang, Y. (1996). A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems. Automatica, 32(8), 1211-1215.
8. Jiang, Z. P., Teel, A., & Praly, L. (1994). Small-gain theorem for ISS systems and applications. Math. Control Signals Systems, 7, 95-120.
9. Kanellakopoulos, I., Kokotović, P. V., & Morse, A. S. (1991). Adaptive output-feedback control of systems with output nonlinearities. In: P. V. Kokotović, (Ed.), Foundations of adaptive control (pp. 495-525). Berlin: Springer.
10. Kanellakopoulos, I., Kokotović, P. V., & Morse, A. S. (1992). A toolkit for nonlinear feedback design. Systems Control Lett., 18, 83-92.
11. Krstić, M., Kanellakopoulos, I., & Kokotović P. V. (1995). Nonlinear and adaptive control design. New York: Wiley.
12. Lin, Y. (1996). Input-to-state stability with respect to noncompact sets, Proc. 13th IFAC World Congress (Vol. E, pp. 73-78). San Francisco.
13. Marino, R., & Tomei, P. (1993). Global adaptive output-feedback control of nonlinear systems, Parts I and II. IEEE Trans. Automat. Control., 38, 17-48.
14. Marino, R., & Tomei, P. (1995). Nonlinear control design: Geometric, adaptive and robust. Europe: Prentice-Hall.
15. Praly, L., Bastin G., Pomet, J.-B., & Jiang, Z. P. (1991). Adaptive stabilization of nonlinear systems. In: P. V. Kokotović (Ed.), Foundations of adaptive control (pp. 347-433). Berlin: Springer.
16. Praly, L., & Jiang, Z.-P. (1993). Stabilization by output feedback for systems with ISS inverse dynamics. Systems Control Lett., 21, 19-33.
17. Praly, L., & Wang, Y. (1996). Stabilization in spite of matched unmodelled dynamics and an equivalent definition of input-to-state stability. Math. Control Signals Systems, 9, 1-33.
18. Sontag, E. D. (1995). On the input-to-state stability property. Eur. J. Control, 1, 24-36.
19. Sontag, E. D., & Teel, A. (1995). Changing supply functions in input/state stable systems. IEEE Trans. Automat. Control, 40, 1476-1478.
20. Sontag, E. D. & Wang, Y. (1995). On characterizations of input-to-state stability property with respect to compact sets. Prep. IFAC NOLCOS'95, Tahoe City, (pp. 226-231).
21. Teels, A. & Praly, L. (1993). On output feedback stabilization for systems with ISS inverse dynamics and uncertainties. Proc. 32nd IEEE Conf. Dec. Contr., Texas (pp. 1942-1947).