An approach to design semi-global finite-time observers for a class of nonlinear systems

Science in China, Series F: Information Sciences

Volumn 52, Issue 10, 2009, Pages 1746-1753

  Deng, Xiu Cheng ^a   Shen, Yan Jun ^a  

^a CHINA THREE GORGES UNIVERSITY   (China)

Author keywords

Finite time observers; Geometric homogeneity; High gain; Lyapunov stability

Indexed keywords

EID: 70350365248     PISSN: 10092757     EISSN: 18622836     Source Type: Journal    
DOI: 10.1007/s11432-009-0170-1     Document Type: Article

References (15)

1. Cheng T, He X D, Asada H H. Nonlinear observer design for two phase flow heat exchangers of air conditioning systems. In: Proceedings of the 2004 American Control Conference (AAC). Boston: IEEE Press, 2004. 1534-1539.
2. Kalman R E. On a new approach to filtering and prediction problems. Trans ASME J Basic Eng, 1960, 82(D): 35-45.
3. Luenberger D G. An introduction to observers. IEEE Trans Autom Control, 1971, 16(6): 596-602.
4. Zak S H. On the stabilization and observation of nonlinear uncertain dynamic systems. IEEE Trans Autom Control, 1990, 35(5): 604-607.
5. Raghavan S. Observers and compensators for nonlinear system with application to flexible joint robot. PhD Thesis. Berkeley: Univ California, 1992.
6. Engel R, Kreisselmeier G. A continuous-time observer which converges in finite time. IEEE Trans Autom Control, 2002, 47(7): 1202-1204.
7. Menold P H, Findeisen R, Allgower F. Finite time convergent observers for linear time-varying systems. In: Proceedings of the 11th IEEE Mediterranem Conference on Control and Automation. Rhodos: IEEE Press, 2003.
8. Menold P H, Findeisen R, Allgower F. Finite time convergent observers for nonlinear systems. In: Proceedings of the 42nd IEEE Conference on Decision and Control. Maui: IEEE Press, 2003. 5673-5678.
9. Ding Y Q, Liu Y G. An approach to design the finite time functional observer for a class of nonlinear systems (in Chinese). J Shandong Univ (Eng Sci), 2007, 37(1): 56-60.
10. Raff T, Menold P, Ebenbauer C, et al. A finite time functional observer for linear systems. In: Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference. Seville: IEEE Press, 2005. 7198-7203.
11. Bhat S P, Bernstein D S. Finite-time stability of continuous autonomous systems. SIAM J Contr Optim, 2000, 38(3): 751-766.
12. Shen Y J, Xia X H. Semi-global finite-time observers for nonlinear systems. Automatica, 2008, 44(12): 3152-3156.
13. Lei H, Lin W. Adaptive regulation of uncertain nonlinear systems by output feedback: A universal control approach. Syst Control Lett, 2007, 56(7-8): 529-537.
14. Bhat S P, Bernstein D S. Geometric homogeneity with applications to finite-time stability. Math Control Signals Syst, 2005, 17(2): 101-127.
15. Qian C, Lin W. Non-lipschitz continuous stabilizer for nonlinear systems with uncontrollable unstable linearization. Syst Control Lett, 2001, 42(3): 185-200.