NeuraJ Approximators for Nonlinear Sliding-Window State Observers
نویسنده
چکیده
where C~ E R" ,xt R" , and gt E RP are the state, control, and measurement vectors, respectively. The initial state 5 is unknown. We assume that 5 E X and 5 E U , where X and U are compact sets. Now, let us consider a sliding-window observer. This means that, a t a given stage t and for a given temporal window of length N stages, we have to recovery c ~ ~ on the basis of the last N + 1 measurement vectors SbN,. . .,g, and the last N control vectors, % L t N , . . . ,%-l. For t = N , N + 1,. . . , let us introduce the following systems of nonlinear equations
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