Geodesic
Fault estimation for time-varying systems with Round-Robin protocol
Kybernetika, Tome 56 (2020) no. 1, pp. 107-126.

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This paper is concerned with the design problem of finite-horizon $H_\infty$ fault estimator for a class of nonlinear time-varying systems with Round-Robin protocol scheduling. The faults are assumed to occur in a random way governed by a Bernoulli distributed white sequence. The communication between the sensor nodes and fault estimators is implemented via a shared network. In order to prevent the data from collisions, a Round-Robin protocol is utilized to orchestrate the transmission of sensor nodes. By means of the stochastic analysis technique and the completing squares method, a necessary and sufficient condition is established for the existence of fault estimator ensuring that the estimation error dynamics satisfies the prescribed $H_\infty$ constraint. The time-varying parameters of fault estimator are obtained by recursively solving a set of coupled backward Riccati difference equations. A simulation example is given to demonstrate the effectiveness of the proposed design scheme of the fault estimator.
DOI : 10.14736/kyb-2020-1-0107
Classification : 93C10, 93E10
Keywords: fault estimation; Round--Robin protocol; randomly occurring faults; Riccati difference equations; nonlinear time-varying system 
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     title = {Fault estimation for time-varying systems with {Round-Robin} protocol},
     journal = {Kybernetika},
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Fu, Haijing; Dong, Hongli; Song, Jinbo; Hou, Nan; Li, Gongfa. Fault estimation for time-varying systems with Round-Robin protocol. Kybernetika, Tome 56 (2020) no. 1, pp. 107-126. doi : 10.14736/kyb-2020-1-0107. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-1-0107/

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