Smooth output feedback stabilization of planar systems without controllable/observable linearization

IEEE Transactions on Automatic Control

Volumn 47, Issue 12, 2002, Pages 2068-2073

  Qian, Chunjiang ^a   Lin, Wei ^b  

^a The University of Texas at San Antonio   (United States)

^b Case Western Reserve University   (United States)

Author keywords

Global stabilization; Nonseparation principle design; Planar systems; Smooth output feedback; Uncontrollable unobservable linearization

Indexed keywords

ASYMPTOTIC STABILITY; FEEDBACK CONTROL; LINEARIZATION; MATRIX ALGEBRA; PROBLEM SOLVING; STATE FEEDBACK; SYSTEM STABILITY;

GLOBAL STABILIZATION;

CLOSED LOOP CONTROL SYSTEMS;

EID: 0036950042     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.805690     Document Type: Article

References (18)

1. S. Battilotti, "Global output regulation and disturbance attenuation with global stability via measurement feedback for a class of nonlinear systems," IEEE Trans. Automat. Contr., vol. 41, pp. 315-327, Mar. 1996.
2. G. Besancon, "State affine systems and observer-based control," in Proc. NOLCOS'98, vol. 2, 1998, pp. 399-404.
3. W.P. Dayawansa, "Recent advances in the stabilization problem for low dimensional systems," in Proc. 2nd IFAC Symp. Nonlinear Control Systems Design Syrup., Bordeaux, France, 1992, pp. 1-8.
4. J. P. Gauthier and I. Kupka, "A separation principle for bilinear systems with dissipative drift," IEEE Trans. Automat. Contr., vol. 37, pp. 1970-1974, Dec. 1992.
5. A. Isidori, Nonlinear Control Systems II. New York: Springer-Verlag, 1999.
6. M. Kawski, "Stabilization of nonlinear systems in the plane," Syst. Control Lett., vol. 12, pp. 169-175, 1989.
7. A.J. Krener and A. Isidori, "Linearization by output injection and non-linear observer," Syst. Control Lett., vol. 3, pp. 47-52, 1983.
8. A. J. Krener and W. Respondek, "Nonlinear observers with linearizable error dynamics," SIAM J. Control Optim., vol. 23, pp. 197-216, 1985.
9. W. Lin, "Input saturation and global stabilization of nonlinear systems via state and output feedback," IEEE Trans. Automat. Contr., vol. 40, pp. 776-782, Apr. 1995.
10. _, "Bounded smooth state feedback and a global separation principle for nonaffine nonlinear systems," Syst. Control Lett., vol. 26, pp. 41-53, 1995.
11. W. Lin and C. Qian, "Adding one power integrator: A tool for global stabilization of high-order lower-triangular systems," Syst. Control Lett., vol. 39, pp. 339-351, 2000.
12. _, "Robust regulation of a chain of power integrators perturbed by a lower-triangular vector field," Int. J. Robust Nonlinear Control, vol. 10, pp. 397-421, 2000.
13. R. Marino and P. Tomei, Nonlinear Control Design. Upper Saddle River, NJ: Prentice-Hall, 1995.
14. _, "Dynamic output feedback linearization and global stabilization," Syst. Control Lett., vol. 17, pp. 115-121, 1991.
15. F. Mazenc, L. Praly, and W. D. Dayawansa, "Global stabilization by output feedback: Examples and counterexamples," Syst. Control Lett., vol. 23, pp. 119-125, 1994.
16. L. Praly, "Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, 2001, pp. 3808-3813.
17. C. Qian and W. Lin, "Output feedback control of a class of nonlinear systems: A nonseparation principle paradigm," IEEE Trans. Automat. Contr., vol. 47, pp. 1710-1715, Oct. 2002.
18. X. Xia and M. Zeitz, "On nonlinear continuous observer," Int. J. Control, vol. 66, pp. 943-954, 1997.