Risk-sensitive adaptive trackers for strict-feedback systems with output measurements

IEEE Transactions on Automatic Control

Volumn 47, Issue 10, 2002, Pages 1754-1758

  Arslan, Gürdal ^a   Başar, Tamer ^b  

^a University of California   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

Adaptive backstepping; Risk sensitive control; Stochastic systems; Strict feedback systems

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; PROBABILITY; RISK ASSESSMENT; STOCHASTIC CONTROL SYSTEMS;

ADAPTIVE TRACKERS;

ADAPTIVE CONTROL SYSTEMS;

EID: 0036805589     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.803553     Document Type: Article

References (19)

1. Z. Pan, "Canonical forms for stochastic nonlinear systems," in Proc. of the 1997 Conf. Decision and Control, San Diego, CA, Dec. 1997, pp. 24-29.
2. H. Deng and M. Krstic̀, "Output-feedback stochastic nonlinear stabilization," IEEE Trans. Automat. Contr., vol. 44, pp. 328-333, Feb. 1999.
3. B. Oksendal, Stochastic Differential Equations. New York: Springer-Verlag, 1998.
4. R.Z. Khas'minskii, Stochastic Stability of Differential Equations. Rockville, MD: S & N International, 1980.
5. M. Krstic̀ and H. Deng, Stabilization of Nonlinear Uncertain Systems. New York: Springer-Verlag, 1998.
6. H. Deng and M. Krstic̀, "Stabilization of stochastic nonlinear systems driven by noise of unknown covariance," in Proc. 1998 Amer. Control Conf., 1998, pp. 269-278.
7. _, "Output-feedback disturbance attenuation and adaptive control for stochastic nonlinear systems," in IFAC 14th Triennial World Congress, Beijing, China, 1999, pp. 271-276.
8. P. Whittle, Risk-Sensitive Optimal Control. New York: Wiley, 1990.
9. W.H. Fleming and W.M. McEneaney, "Risk sensitive and robust nonlinear filtering," in Proc. 1997 Conf. Decision and Control, 1997, pp. 1088-1093.
10. ∞ norms for nonlinear systems," Math. Control Signals Syst., vol. 8, no. 3, pp. 199-221, 1995.
11. ∞ methods," Automatica, vol. 31, no. 9, pp. 1227-1250, Sept. 1995.
12. G. Arslan and T. Başar, "Adaptive control of stochastic strict-feedback systems under a risk-sensitive criterion," presented at the SYSID 2000: Symp. System Identification, Santa Barbara, CA, June 21-23, 2000.
13. _, "Output-feedback control of stochastic strict-feedback systems under an exponential cost criterion," presented at the 39th Conf. Decision and Control, Sydney, Australia, Dec. 12-15, 2000.
14. M. Krstic̀, I. Kanellakopoulos, and P.V. Kokotovic̀, Nonlinear and Adaptive Control Design. New York: Wiley, 1995.
15. Z. Pan and T. Başar, "Backstepping controller design for nonlinear stochastic systems under a risk-sensitive cost criterion," SIAM J. Control Optim., vol. 37, no. 3, pp. 957-995, 1999.
16. I.I. Gihman and A.V. Skorohod, Stochastic Differential Equations. New York: Springer-Verlag, 1972.
17. H.J. Kushner, Stochastic Stability and Control. New York: Academic, 1967.
18. G. Arslan and T. Başar, "Disturbance attenuating controller design for strict-feedback systems with structurally unknown dynamics," Automatica, vol. 37, no. 8, pp. 1175-1188, Aug. 2001.
19. A. Isidori, "A tool for semiglobal stabilization of uncertain nonminimum-phase nonlinear systems via output feedback," IEEE Trans. Automat. Contr., vol. 45, pp. 1817-1827, Oct. 2000.