Nonlinear Observer Applying Neural Network for A class of Chaotic System in the Presence of Uncertainty

To control chaos phenomena with desirable performance, access to the states of plant is required. Due to complicated structure of chaotic systems, measurement of their states is a problem. In order to solve this problem, the observer must be added to control strategy for estimating the inaccessible states. In the present paper, the adaptive neural network observer is considered for chaotic system. This observer is tuned online and no exact information of nonlinear term is needed. This characteristic covers considerable part of uncertainty of plant.

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

[2]  J. Grizzle,et al.  The Extended Kalman Filter as a Local Asymptotic Observer for Nonlinear Discrete-Time Systems , 1992, 1992 American Control Conference.

[3]  M. Gevers,et al.  Stable adaptive observers for nonlinear time-varying systems , 1987 .

[4]  Keum W. Lee,et al.  Robust Control of Chaos in Chua’s Circuit Based on Internal Model Principle , 2007 .

[5]  R. Marino,et al.  Adaptive observers with arbitrary exponential rate of convergence for nonlinear systems , 1995, IEEE Trans. Autom. Control..

[6]  S. M. Lee,et al.  Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control , 2007 .

[7]  Bin Deng,et al.  Observer-based robust adaptive variable universe fuzzy control for chaotic system , 2005 .

[8]  Steven H. Strogatz,et al.  Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering , 1994 .

[9]  Teh-Lu Liao,et al.  Adaptive control and synchronization of Lorenz systems , 1999 .

[10]  R. Marino,et al.  Global adaptive observers for nonlinear systems via filtered transformations , 1992 .

[11]  T. Westerlund,et al.  Remarks on "Asymptotic behavior of the extended Kalman filter as a parameter estimator for linear systems" , 1980 .

[12]  M. T. Yassen,et al.  Adaptive control and synchronization of a modified Chua's circuit system , 2003, Appl. Math. Comput..

[13]  Frank L. Lewis,et al.  A dynamic recurrent neural-network-based adaptive observer for a class of nonlinear systems , 1997, Autom..