State and input simultaneous estimation for a class of nonlinear systems

This paper addresses the problem of estimating simultaneously the state and input of a class of nonlinear systems. Here, the systems nonlinear part comprises a Lipschitz nonlinear function with respect to the state and input, and a state-dependent unknown function including additive disturbance as well as uncertain/nonlinear/time-varying terms. Upon satisfying some conditions, the observer design problem can be solved via a Riccati inequality or a LMI-based technique with asymptotic estimation guaranteed. A numerical example is included for illustration. ? 2004 Elsevier Ltd. All rights reserved.

[1]  Martin J. Corless,et al.  State and Input Estimation for a Class of Uncertain Systems , 1998, Autom..

[2]  J. Hedrick,et al.  Observer design for a class of nonlinear systems , 1994 .

[3]  Petar V. Kokotovic,et al.  Observer-based control of systems with slope-restricted nonlinearities , 2001, IEEE Trans. Autom. Control..

[4]  Wang Zicai.  Observer Design for a Class of Nonlinear Systems , 1998 .

[5]  Alan J. Laub,et al.  The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[6]  R. Rajamani.  Observers for Lipschitz nonlinear systems , 1998, IEEE Trans. Autom. Control..

[7]  R. Marino.  Adaptive observers for single output nonlinear systems , 1990 .

[8]  Zhengzhi Han,et al.  A note on observers for Lipschitz nonlinear systems , 2002, IEEE Trans. Autom. Control..

[9]  R. Rajamani,et al.  A systematic approach to adaptive observer synthesis for nonlinear systems , 1997, IEEE Trans. Autom. Control..

[10]  H. Hammouri,et al.  On uniform observation of nonuniformly observable systems , 1996 .

[11]  L. Praly.  On Observers with State Independent Error Lyapunov Function , 2001 .

[12]  M. Boutayeb,et al.  Generalized state-space observers for chaotic synchronization and secure communication , 2002 .

[13]  Miroslav KRSTIĆt,et al.  Observer-based schemes for adaptive nonlinear state-feedback control , 1994 .

[14]  Jeffrey L. Stein,et al.  Model error compensation for bearing temperature and preload estimation , 1996 .

[15]  L. Praly,et al.  Stabilization by output feedback for systems with ISS inverse dynamics , 1993 .

[16]  Teh-Lu Liao,et al.  An observer-based approach for chaotic synchronization with applications to secure communications , 1999 .

[17]  R. Rajamani,et al.  A systematic approach to adaptive observer synthesis for nonlinear systems , 1995, Proceedings of Tenth International Symposium on Intelligent Control.

[18]  X. Xia,et al.  Nonlinear observer design by observer error linearization , 1989 .

[19]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[20]  Petar V. Kokotovic,et al.  Nonlinear observers: a circle criterion design and robustness analysis , 2001, Autom..

[21]  C. R. Rao,et al.  Generalized Inverse of Matrices and its Applications , 1972 .