Adaptive output-feedback tracking of stochastic nonlinear systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 2, 2006, Pages 355-360

  Ji, Hai Bo ^a   Xi, Hong Sheng ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Stability in probability; Stochastic adaptive stabilization; Stochastic disturbance attenuation

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; FEEDBACK CONTROL; MATHEMATICAL TRANSFORMATIONS; NONLINEAR CONTROL SYSTEMS; PERTURBATION TECHNIQUES; PROBABILITY; SYSTEM STABILITY;

BACKSTEPPING TECHNIQUES; STOCHASTIC ADAPTIVE STABILIZATION; STOCHASTIC DISTURBANCE ATTENUATION; STOCHASTIC NONLINEAR SYSTEMS;

STOCHASTIC CONTROL SYSTEMS;

EID: 33244483664     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2005.863501     Document Type: Article

References (13)

1. H. Deng and M. Krstić, "Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance," Syst. Control Lett., vol. 39, pp. 173-182, 2000.
2. H. Deng, M. Krstić, and R. J. Williams, "Stabilization of stochastic nonlinear systems driven by noise of unknown covariance," IEEE Trans. Autom. Control, vol. 46, no. 8, pp. 1237-1253, Aug, 2001.
3. P. Florchinger, "A universal formula for the stabilization of control stochastic differential equations," Stoch. Anal. Appl., vol. 11, pp. 155-162, 1993.
4. P. Florchinger, "Lyapunov-like techniques for stochastic stability," SIAM J. Control Optim., vol. 33, pp. 1151-1169, 1995.
5. G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1988.
6. H. B. Ji, Z. F. Chen, and H. S. Xi, "Adaptive stabilization for stochastic parametric-strict-feedback systems with Wiener noises of unknown covariance," Int. J. Syst. Sci., vol. 34, pp. 123-127, 2003.
7. R. Z. Khasminskii, Stochastic Stability of Differential Equations. Rockville, MD: Sijthoff and Noordhoff, 1980.
8. M. Krstić and H. Deng, Stabilization of Nonlinear Uncertain Systems. London, U.K.: Springer-Verlag, 1998.
9. M. Krstić, I. Kanellakopoulos, and P. V. Kokotović, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
10. M. Krstić and P. V. Kokotović, "Adaptive nonlinear output-feedback schemes with Marino-Tomei controller," IEEE Trans. Autom. Control, vol. 41, no. 2, pp. 274-280, Feb. 1996.
11. R. Marino and P. Tomei, "Global adaptive output-feedback control of nonlinear systems, Part I: Linear parameterization," IEEE Trans. Autom. Control, vol. 38, no. 1, pp. 17-32, Jan. 1993.
12. F. Mazenc, L. Praly, and W. P. Dayawansa, "Global stabilization by output feedback: Examples and counterexamples," Syst. Control Lett., vol. 23, pp. 119-125, 1994.
13. Z. Pan and T. Basar, "Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion," SIAM J. Control Optim., vol. 37, pp. 957-995, 1999.