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Fault estimation for nonlinear systems by an intermediate estimator with stochastic failure

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Abstract

In this paper, the problem of fault estimation for a kind of nonlinear systems with Lipschitzian nonlinearities is considered. A new fault estimation approach is proposed, where a stochastically intermediate variable is introduced. Based on the expectation of such a variable exactly available, a kind of intermediate estimator is proposed to estimate the state and fault simultaneously. As for a case that its probability is uncertain, the effects are also considered in detail. Different from the traditional fault estimation methods, the algorithm proposed here could bear stochastic failure and is without observer matching condition, which also has less conservatism. The simulation of a practical example is exploited to demonstrate the effectiveness and superiority of the proposed methods.

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Authors and Affiliations

  1. School of Information and Control Engineering, Liaoning Shihua University, Fushun, 113001, Liaoning, China

    Guoliang Wang & Chenglong Yi

Authors
  1. Guoliang Wang
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  2. Chenglong Yi
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Corresponding author

Correspondence to Guoliang Wang.

Additional information

This work was supported by the National Natural Science Foundation of China under Grants 61374043 and 61473140, the Program for Liaoning Excellent Talents in University under Grant LJQ2013040, the Natural Science Foundation of Liaoning Province under Grant 2014020106.

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Wang, G., Yi, C. Fault estimation for nonlinear systems by an intermediate estimator with stochastic failure. Nonlinear Dyn 89, 1195–1204 (2017). https://doi.org/10.1007/s11071-017-3510-5

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  • DOI: https://doi.org/10.1007/s11071-017-3510-5

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