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A Nonlinear Adaptive Resilient Observer Design for a Class of Lipschitz Systems Using LMI

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Abstract

This paper addresses the parameter and state estimation problem in the presence of the observer gain perturbations for Lipschitz systems that are linear in the unknown parameters and nonlinear in the states. A nonlinear adaptive resilient observer is designed, and its stability conditions based on the Lyapunov technique are derived. The gain for this observer is derived systematically using the linear matrix inequality approach. A numerical example and a physical setup are provided to show the effectiveness of the proposed method.

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Authors and Affiliations

  1. Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran

    Mahdi Pourgholi & Vahid Johari Majd

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  1. Mahdi Pourgholi
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  2. Vahid Johari Majd
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Correspondence to Vahid Johari Majd.

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Pourgholi, M., Majd, V.J. A Nonlinear Adaptive Resilient Observer Design for a Class of Lipschitz Systems Using LMI. Circuits Syst Signal Process 30, 1401–1415 (2011). https://doi.org/10.1007/s00034-011-9320-y

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  • DOI: https://doi.org/10.1007/s00034-011-9320-y

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