The design of reduced-order observer for systems with monotone nonlinearities

Zidonghua Xuebao/Acta Automatica Sinica

Volumn 33, Issue 12, 2007, Pages 1290-1293

  Zhu, Fang Lai ^a,b   Ding, Xuan Hao ^a  

^a CHONGQING TECHNOLOGY AND BUSINESS UNIVERSITY   (China)

^b TONGJI UNIVERSITY   (China)

Author keywords

Full order observer; Linear matrix inequality (LMI); Monotone nonlinearities; Reduced order observer

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STATE ESTIMATION;

FULL ORDER OBSERVER; LINEAR TRANSFORMATION; MONOTONE NONLINEARITIES; REDUCED ORDER OBSERVER;

NONLINEAR SYSTEMS;

EID: 38049136682     PISSN: 02544156     EISSN: None     Source Type: Journal    
DOI: 10.1360/aas-007-1290     Document Type: Article

References (15)

1. Reif K, Sonnemann F, Unbehauen R. An EKF-based nonlinear observer with a prescribed degree of stability. Automatica, 1998, 34(9): 1119-1123.
2. Salvator L, Stasi S, Tarchioni L. A new EKF-based algorithm for flux estimation in induction machines. IEEE Transactions on Industrial Electronics, 1993, 40(5): 496-504.
3. Zeit M. The extended Luenberger observer for nonlinear systems. Systems and Control Letters, 1987, 9(2): 149-156.
4. Krener A J, Respondek W. Nonlinear observers with linearizable error dynamics. SIMA Journal on Control Optimization, 1985, 23(2): 197-216.
5. Krener A J, Xiao M Q. Observer for linearly unobservable nonlinear systems. Systems and Control Letters, 2002, 46: 281-288.
6. Noh D, Jo N H, Seo J H. Nonlinear observer design by dynamic observer error linearization. IEEE Transactions on Automatic Control, 2004, 49(10): 1746-1753.
7. Besancon G, Hammouri H. On uniform observation of nonuniformly observable systems. Systems and Control Letters, 1996, 29(1): 9-19.
8. Rajamani R, Cho Y M. Existence and design of observers for nonlinear systems: relation to distance to unobservability. International Journal of Control, 1998, 69(5): 717-731.
9. Raghavan S, Hedrick J K. Observer design for a class of nonlinear systems. International Journal of Control, 1994, 59(2): 515-528.
10. Sundarapandian V. General observers for nonlinear systems. Mathematical and Computer Modeling, 2004, 39: 97-105.
11. Zhu F L, Han Z Z. A note on observers for Lipschitz nonlinear systems. IEEE Transactions on Automatic Control, 2002, 47(10): 1751-1754.
12. Fan X Z, Areak M. Nonlinear observer design for systems with multivariable monotone nonlinearities. In: Proceedings of the 41st Conference on Decision and Control. New York, USA: IEEE, 2003. 684-688.
13. Xia X H, Gao W B. Nonlinear observer design by observer error linearization. SIAM Journal on Control and Optimization, 1989, 27(1): 199-216.
14. Beetle D, Zeitz M. Canonical form observer design for nonlinear time-variable systems. International Journal of Control, 1983, 38(2): 419-431.
15. Huang S N, Tan K K, Lee T H. Further result on a dynamic recurrent neural-network-based adaptive observer for a class of nonlinear systems. Automatics, 2005, 41(12): 2161-2162.