Robust adaptive output-feedback control for nonlinear systems with output unmodeled dynamics

International Journal of Robust and Nonlinear Control

Volumn 18, Issue 11, 2008, Pages 1162-1187

  Wu, Zhaojing ^a   Xie, Xuejun ^b   Shi, Peng ^c  

^a YANTAI UNIVERSITY   (China)

^b QUFU NORMAL UNIVERSITY   (China)

^c UNIVERSITY OF GLAMORGAN   (United Kingdom)

Author keywords

Adaptive backstepping control; Inverse dynamics; Nonlinear systems; Output unmodeled dynamics; Small gain

Indexed keywords

ADAPTIVE SYSTEMS; CONTROL SYSTEMS; CONTROL THEORY; DYNAMICS; FEEDBACK CONTROL; IDENTIFICATION (CONTROL SYSTEMS); MILITARY DATA PROCESSING; NONLINEAR CONTROL SYSTEMS; NONLINEAR SYSTEMS; POWER CONVERTERS; ROBUST CONTROL; UNCERTAIN SYSTEMS;

BACKSTEPPING METHODS; CLOSED-LOOP SYSTEMS; INVERSE DYNAMICS; NONLINEAR UNCERTAINTIES; ROBUST ADAPTIVE; SMALL GAIN THEOREM (SGT); SUPPLY FUNCTION; UNCERTAIN NONLINEAR SYSTEMS; UNMODELED DYNAMICS;

ADAPTIVE CONTROL SYSTEMS;

EID: 47749148753     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1273     Document Type: Article

References (25)

1. Fradkov A, Miroshnik VNI. Nonlinear and Adaptive Control of Complex Systems. Kluwer Academic Publishers: Netherlands, 1999.
2. Krstić M, Kanellakopoulos I, Kokotović P. Nonlinear and Adaptive Control Design. Wiley: New York, 1995.
3. Marino R, Tomei P. Nonlinear Control Design: Geometric, Adaptive and Robust. Prentice-Hall: New Jersey, 1995.
4. Tao G. Adaptive Control Design and Analysis. Wiley Interscience: New York, 2003.
5. Kokotović PV, Arcak M. Constructive nonlinear control: a historical perspective. Automatica 2001; 37:637-662.
6. Loria A, Panteley E, Nijmeijer H. A remark on passivity-based and discontinuous control of uncertain nonlinear systems. Automatica 2001; 37:1481-1487.
7. Jiang Z-P, Praly L. Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica 1998; 34:825-840.
8. Jiang Z-P, Praly L. Technical results for the study of robustness of lagrange stability. System and Control Letters 1994; 23:67-78.
9. Wu ZJ, Xie XJ, Zhang SY. Stochastic adaptive backstepping controller design by introducing dynamic signal and changing supply function. International Journal of Control 2006; 79:1635-1646.
10. Jiang ZP, Teel A, Praly L. Small-gain theorem for ISS systems and applications. Mathematics of Control Signals and Systems 1994; 7:95-120.
11. Jiang ZP, Mareels IMY, Wang Y. A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems. Automatica 1996; 32:1211-1215.
12. Jiang ZP, Mareels IMY. A small-gain control method for nonlinear cascaded systems with dynamic uncertainties. IEEE Transactions on Automatic Control 1997; 42:292-308.
13. Jiang ZP. A combined backstepping and small-gain approach to adaptive output feedback control. Automatica 1999;35:1131-1139.
14. Wu ZJ, Xie ZJ, Zhang SY. Adaptive backstepping controller design using stochastic small-gain theorem. Automatica 2007; 43:608-620.
15. Teel A, Praly L. On output feedback stabilization for systems with ISS inverse dynamics and uncertainties. Proceedings of the 32nd IEEE Conference on Decision, and Control, Texas, 1993; 1942-1947.
16. Janković M, Sepulchre R, Kokotović P. Clf based designs with robustness to dynamic input uncertainties. System and Control Letters 1999; 37:45-54.
17. Han H. Adaptive fuzzy controller for a class of nonlinear systems. International Journal of Innovative Computing, Information and Control 2005; 1:727-742.
18. Yang H, Li S. Subspace-based adaptive predictive control for a class of nonlinear systems. International Journal of Innovative Computing, Information and Control 2005; 1:743-753.
19. Isidori A. Nonlinear Control Systems (3rd edn). Springer: New York, 1995.
20. Ioannou P, Sun J. Robust Adaptive Control. Prentice-Hall: New Jersey, 1996.
21. Zhang YP, Ioannou PA. Linear robust adaptive control design using nonlinear approach. USC Report 95-06-01, University of Southern California, 1995.
22. Wen CY, Zhang Y, Soh YC. Robustness of an adaptive backstepping controller without modification. System and Control Letters 1999; 36:87-100.
23. Jiang ZP, Mareels IMY, Hill DJ, Huang J. A unifying framework for global regulation via nonlinear output feedback. IEEE Transactions on Automatic Control 2004; 49:549-562.
24. Sontag ED. Smooth stabilization implies coprime factorization. IEEE Transactions on Automatic Control 1989; 34:435-443.
25. Sontag ED, Teel A. Changing supply functions in input/state stable systems. IEEE Transactions on Automatic Control 1995; 40:1476-1478.