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This paper presents a robust filter for discrete-time nonlinear systems subject to uncertainties. The nonlinear functions are assumed to be uncertain but belonging to a conic region. This condition is characterized as a Lipschitz condition on the system state and control signal residuals. The proposed design also allows dynamic and measurement noises to have unknown time-varying expected values, covariances...
The optimal recursive estimation problem for general time-variant descriptor systems is considered in this paper. We show that the filter recursion can be obtained as solution of appropriate data fitting problems. We can consider the fitting evolving the entire trajectory at once or consider a one step correction.
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