H sub([infin]) fault estimation with randomly occurring uncertainties, quantization effects and successive packet dropouts: The finite-horizon case

In this paper, the finite-horizon H sub([infin]) fault estimation problem is investigated for a class of uncertain nonlinear time-varying systems subject to multiple stochastic delays. The randomly occurring uncertainties (ROUs) enter into the system due to the random fluctuations of network conditi...

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Bibliographic Details
Published in:International journal of robust and nonlinear control 2015-01, Vol.25 (15), p.2671-2686
Main Authors: Li, Zhen'na, Wang, Zidong, Ding, Derui, Shu, Huisheng
Format: Article
Language:English
Subjects:
Delay
Dropouts
Estimators
Faults
Networks
Nonlinearity
Packet transmission
Stochasticity
Uncertainty
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Summary:In this paper, the finite-horizon H sub([infin]) fault estimation problem is investigated for a class of uncertain nonlinear time-varying systems subject to multiple stochastic delays. The randomly occurring uncertainties (ROUs) enter into the system due to the random fluctuations of network conditions. The measured output is quantized by a logarithmic quantizer before being transmitted to the fault estimator. Also, successive packet dropouts (SPDs) happen when the quantized signals are transmitted through an unreliable network medium. Three mutually independent sets of Bernoulli-distributed white sequences are introduced to govern the multiple stochastic delays, ROUs and SPDs. By employing the stochastic analysis approach, some sufficient conditions are established for the desired finite-horizon fault estimator to achieve the specified H sub([infin]) performance. The time-varying parameters of the fault estimator are obtained by solving a set of recursive linear matrix inequalities. Finally, an illustrative numerical example is provided to show the effectiveness of the proposed fault estimation approach.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.3221