Robust Adaptive Observer Design for Lipschitz Class of Nonlinear Systems

[1] G. Bastin and M. R. Gevers, Stable adaptive observers for nonlinear time-varying systems, IEEE Trans. on Automatic Control, 33 (1988) pp. 650–658.
[2] R. Marino, Adaptive observers for single output nonlinear systems, IEEE
Trans. on Automatic Control, 35 (1990) 1054–1058.
[3] R. Marino and P. Tomei, Global adaptive observers for nonlinear systems
via filtered transformations, IEEE Trans. on Automatic Control, 37 (1992)
1239–1245.
[4] R. Marino, and P. Tomei, Adaptive observers with arbitrary exponential
rate of convergence for nonlinear systems, IEEE Trans. Automatic Control, 40
(1995) 1300-1304.
[5] R. Rajamani and J. K. Hedrick, Adaptive observers for active automotive
suspensions: Theory and experiment, IEEE Trans. on Control Systems
Technology, 3 (1995) 86–93.
[6] Y. M. Cho, R. Rajamani, A systematic approach to adaptive observer
synthesis for nonlinear systems, IEEE Trans. Autom. Control. 42 (1997) 534–
537.
[7] R. Marino, G. L. Santosuosso, and P. Tomei, Robust adaptive observers
for nonlinear systems with bounded disturbances, IEEE Trans. on Automatic
Control, 46 (2001) 967–972.
[8] J. Jung, K. Hul, H.K. Fathy and J.L. Srein, Optimal robust adaptive
observer design for a class of nonlinear systems via an H-infinity approach,
American Control Conf., 2006, 3637-3642.
[9] M. Hasegawa, Robust adaptive observer design based on γ-Positive real
problem for sensorless Induction-Motor drives, IEEE Trans. on Industrial
Electronics, 53 (2006) 76-85.
[10] A. Zemouche, M. Boutayeb, G. I. Bara, Observers for a class of Lipschitz
systems with extension to

H
performance analysis, Systems & Control
Letters, 57 (2008) 18–27.
[11] C. S. Jeong, E. E. Yaz, A. Bahakeem, Y. I. Yaz, Resilient design of
observers with general criteria using LMIs, Proc. of ACC, 2006, 111-116.
[12] L.H., Keel, and S.P. Bhattacharyya, Robust, fragile, or optimal?, IEEE –
Trans. Autom. Control, 42 (1997) 1098–1105.
[13] P. Dorato., non-fragile contoller design: an overview, Proc. ofACC,
1998, 2829-2831.
[14] D. Famulara, C. T. Abdallah, A. Jadbabaie, P. Domto, and W. H.
Haddad, Robust non-fragile LQ controllers: the statis feekback case", Proc. of
ACC, 1998, 1109-1113.
[15] G.H. yang, J.L. Wang, Robust nonfragile Kalman filtering for uncertain
linear systems, IEEE Trans. on Automatic Control, 46 (2001) 343-348.
[16] C. S. Jeong, E. E. Yaz, and Y. I. Yaz, Lyapunov-Based design of resilient
observers for a class of nonlinear systems and general performance criteria,
IEEE Multi-conference on Systems and Control, 2008, 942-947.
[17] C. S. Jeong, E. E. Yaz, and Y. I. Yaz , Stochastically resilient design of
H∞ observers for discrete-time nonlinear systems, IEEE Conf. CDC, 2007,
1227- 1232.
[18] F. Chen and W. Zhang, LMI criteria for robust chaos synchronization of
a class of chaotic systems, Nonlinear Analysis, 67 (2007) 3384-3393.
[19] M. Krstic, I. Kanellakopoulos, P. Kokotovic, Nonlinear and Adaptive
Control Design, John Wiley and Sons, 1995.
[20] J. Lofberg, YALMIP: A toolbox for modeling and optimization in
MATLAB, IEEE Int. Symp. Computer Aided Contol Syst. Design Conf.,
2004, 284-289.
[21] P. Gahinet, A. Nemirovski, A. Laub, M. Chilai, LMI control toolbox
user’s guide, Massachusetts: The Mathworks, 1995.