Globally stabilizing adaptive control design for nonlinearly-parameterized systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 6, 2006, Pages 1073-1079

  Qu, Zhihua ^a   Hull, Richard A ^b   Wang, Jing ^a  

^a University of Central Florida   (United States)

^b SCIENCE APPLICATIONS INTERNATIONAL CORPORATION   (United States)

Author keywords

Adaptive control; Certainty equivalence principle; Lyapunov based design; Nonlinear parameterization; Parameter estimation

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM SYNTHESIS; CONVERGENCE OF NUMERICAL METHODS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION;

CERTAINTY EQUIVALENCE PRINCIPLE; ESTIMATION CONVERGENCE; GLOBAL STABILITY; NONLINEARLY-PARAMETERIZED SYSTEMS;

ADAPTIVE CONTROL SYSTEMS;

EID: 33745714908     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.876800     Document Type: Article

References (17)

1. T. Ahmed-Ali and F. Lamnabhi-Lagarrigue, "Sliding observer-controller design for uncertain triangular nonlinear systems," IEEE Trans. Autom. Control, vol. 44, no. 6, pp. 1244-1249, Jun. 1999.
2. A. M. Annaswamy, F. P. Skanze, and A. P. Loh, "Adaptive control of dynamic systems with convex/concave parameterization," Automatica, vol. 34, pp. 33-39, 1998.
3. B. Aloliwi and H. K. Khalil, "Adaptive output feedback regulation of a class of nonlinear systems: Convergence and robustness," IEEE Trans. Autom. Control, vol. 42, no. 12, pp. 1714-1716, Dec. 1997.
4. J. D. Boskovic, "Stable adaptive control of a class of first-order nonlinearly parameterized plants," IEEE Trans. Autom. Control, vol. 40, no. 2, pp. 347-350, Feb. 1995.
5. J. D. Boskovic, "Adaptive control of a class of nonlinearly parameterized plants," IEEE Trans. Autom. Control, vol. 43, no. 7, pp. 930-934, Jul. 1998.
6. Z. Ding, "Adaptive control of triangular systems with nonlinear parameterization," IEEE Trans. Autom. Control, vol. 46, no. 12, pp. 1963-1968, Dec. 2001.
7. H. K. Khalil, Nonlinear Systems, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.
8. H. K. Khalil and F. Esfandiari, "Semiglobal stabilization of a class of nonlinear systems using Output feedback," IEEE Trans. Autom. Control, vol. 38, no. 9, pp. 1412-1415, Sep. 1993.
9. M. Krstic, I. Kanellakppoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
10. W. Lin and C. Qian, "Adaptive regulation of cascade systems with nonlinearly parameterization," Int. J. Robust Nonlinear Control, vol. 12, pp. 1093-1108, 2002.
11. R. Marino and P. Tomei, Nonlinear Control Design. Englewood Cliffs, NJ: Prentice-Hall, 1995.
12. Z. Qu, Robust Control of Nonlinear Uncertain Systems. New York: Wiley, 1998.
13. Z. Qu and Y. Jin, "Robust control of nonlinear systems in the presence of unknown exogenous dynamics," IEEE Trans. Autom. Control, vol. 48, no. 2, pp. 336-343, Feb. 2003.
14. Z. Qu, "Robust control of nonlinear systems by estimating time variant uncertainties," IEEE Trans. Autom. Control, vol. 47, no. 1, pp. 115-121, Jan. 2002.
15. Z. Qu, "Adaptive and robust controls of uncertain systems with nonlinear parameterization," IEEE Trans. Autom. Control, vol. 48, no. 10, pp. 1817-1823, Oct. 2003.
16. X. Ye, "Global adaptive control of nonlinearly parameterized systems," IEEE Trans. Autom. Control, vol. 48, no. 1, pp. 169-173, Jan. 2003.
17. T. Zhang, S. Ge, C. C. Hang, and T. Y. Chai, "Adaptive control of first-order systems with nonlinear parameterization," IEEE Trans. Autom. Control, vol. 45, no. 8, pp. 1512-1516, Aug. 2000.