Optimal Adaptive Regulation for Nonlinear Systems with Observation Noise

Xiao-Li Hu; Han-Fu Chen

doi:10.3934/jimo.2007.3.155

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2007, Volume 3, Issue 1: 155-164. Doi: 10.3934/jimo.2007.3.155

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Optimal Adaptive Regulation for Nonlinear Systems with Observation Noise

Xiao-Li Hu^1, and
Han-Fu Chen^1,

1.
Institute of Systems Science, AMSS, Chinese Academy of Sciences, 55, Zhongguancundonglu, Beijing, 100080, P. R.

Received: June 30, 2006

Revised: September 30, 2006

Published: December 2006

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Abstract

The adaptive regulation is considered for a class of nonlinear systems including the Hammerstein systems and Wiener systems as special cases. The observations are corrupted by noise. By using the intrinsic stability of the system a direct adaptive regulation control is designed with the help of the stochastic approximation (SA) method, and its optimality is proved. A numerical example is provided.

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Mathematics Subject Classification: 93E20.

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