Robust H∞ observer design for sampled-data Lipschitz nonlinear systems with exact and Euler approximate models

Automatica

Volumn 44, Issue 3, 2008, Pages 799-806

  Abbaszadeh, Masoud ^a   Marquez, Horacio J ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Euler discretization; H filtering; Lipschitz nonlinear systems; LMI optimization; Robust observers

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS);

EULER DISCRETIZATION; LIPSCHITZ NONLINEAR SYSTEMS; LMI OPTIMIZATION; ROBUST OBSERVERS;

NONLINEAR SYSTEMS;

EID: 39549109303     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.07.021     Document Type: Article

References (13)

1. Arcak M., and Nešić D. A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation. Automatica 40 11 (2004) 1931-1938
2. Assoudi A.E., Yaagoubi E.H.E., and Hammouri H. Non-linear observer based on the Euler discretization. International Journal of Control 75 11 (2002) 784-791
3. Biyik E., and Arcak M. A hybrid redesign of Newton observers in the absence of an exact discrete-time model. Systems & Control Letters 55 6 (2006) 429-436
4. Busawon, K., Saif, M., & Leon-Morales, J. D. (1999). Estimation and control of a class of Euler discretized nonlinear systems. In Proceedings of the American control conference (Vol. 5, pp. 3579-3583).
5. Califano C., Monaco S., and Normand-Cyrot D. On the observer design in discrete-time. Systems & Control Letters 49 4 (2003) 255-265
6. Kazantzis N., and Kravaris C. Discrete-time nonlinear observer design using functional equations. Systems & Control Letters 42 2 (2001) 81-94
7. Laila, D. S., & Astolfi, A. (2006). Sampled data observer design for a class of nonlinear systems with applications. In Proceedings of the 17th international symposium on mathematical theory for networks and systems (pp. 715-722), Kyoto, Japan.
8. ∞ observer for nonlinear discrete systems with time delay and parameter uncertainties. IEE Proceedings: Control Theory and Applications 151 4 (2004) 439-444
9. Moraal P.E., and Grizzle J.W. Observer design for nonlinear systems with discrete-time measurements. IEEE Transactions on Automatic Control 40 3 (1995) 395-404
10. Raghavan S., and Hedrick J. Observer design for a class of nonlinear systems. International Journal of Control 59 2 (1994) 515-528
11. Wang Z., and Unbehauen H. A class of nonlinear observers for discrete-time systems with parametric uncertainty. International Journal of Systems Science 31 1 (2000) 19-26
12. Xiao M., Kazantzis N., Kravaris C., and Krener A.J. Nonlinear discrete-time observer design with linearizable error dynamics. IEEE Transactions on Automatic Control 48 4 (2003) 622-626
13. ∞ filtering for a class of discrete-time uncertain nonlinear systems with state delay. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 12 (2002) 1853-1859