A dual observer method for global stabilization of nonlinear systems with limited and uncertain information

Proceedings of the American Control Conference

Volumn , Issue , 2007, Pages 2600-2605

  Polendo, Jason ^a   Qian, Chunjiang ^a   Lei, Hao ^b   Lin, Wei ^b  

^a UNIVERSITY OF TEXAS AT SAN ANTONIO   (United States)

^b Case Western Reserve University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR SYSTEMS;

(MIN ,MAX ,+) FUNCTIONS; GENERAL (CO); GLOBAL STABILIZATIONS; HIGHER ORDER; NONLINEAR TERMS; OBSERVER (OBS); OUTPUT STATE; UNCERTAIN INFORMATIONS;

STABILIZATION;

EID: 46449107584     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2007.4283089     Document Type: Conference Paper

References (14)

1. V. Andrieu, L. Praly, and A. Astolfi. Nonlinear output feedback design via domination and generalized weighted homogeneity. In Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
2. A. Bacciotti and L. Roiser. Liapunov Functions and Stability in Control Theory, volume 267 of Lecture Notes in Control and Information Sciences. Springer, 2001.
3. G. Besancon. State affine systems and obsever based control. NOLCOS, 2:399-404, 1998.
4. H. K. Khalil and A. Saberi. Adaptive stabilization of a class of nonlinear systems using high-gain feedback. IEEE Trans. Automat. Control, 32(11):1031-1035, 1987.
5. A. J. Krener and M. Xiao. Nonlinear observer design in the Siegel domain. SIAM J. Control Optim., 41(3):932-953, 2002.
6. J. Kurzweil. On the inversion of lyapunov's second theorem on the stability of motion. AMST, pages 19-77, 1956.
7. J. Li and C. Qian. Global finite-time stabilization by dynamic output feedback for a class of continuous nonlinear systems. IEEE Trans. Automat. Control, 51(5):879-884, 2005.
8. R. Marino and P. Tomei. Dynamic output feedback linearization and global stabilization. Systems Control Lett., 17(2):115-121, 1991.
9. F. Mazene, L. Praly, and W. P. Dayawansa. Global stabilization by output feedback: examples and counterexamples. Systems Control Lett., 23(2):119-125, 1994.
10. J. Polendo, J. A. Franz, and C. Qian. Homogeneous Domination Design using Dual Observers: A Tool for Global Output Feedback Stabilization of Nonlinear Systems with Polynomially Growing Unmeasurable States. The Sixth IEEE International Conference on Control and Automation, GuangZhou, China, May 30-June 1, 2007.
11. C. Qian. A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems. In Proceedings of 2005 American Control Conference, pages 4708-4715, June 2005. (To appear in IEEE Trans. Automat. Control).
12. C. Qian and W. Lin. Recursive observer design and nonsmooth output feedback stabilization of inherently nonlinear systems. In Proc. of 43rd IEEE CDC, pages 4927-4932, Atlantis, Bahamas, 2004.
13. L. Rosier. Homogeneous lyapunov function for homogeneous continuous vector fields. Systems Control Lett., 19(6):467-473, 1992.
14. J. Tsinias. A theorem on global stabilization of nonlinear systems by linear feedback. Systems Control Lett., 17(5):357-362, 1991.