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Indirect stochastic adaptive control: The general delay-white noise case

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1 Author(s)
Fuchs, Jean-Jacques J. ; Laboratoire d''Automatique, Rennes Cedex, France

Recent papers on adaptive stochastic control have established global convergence for the general delay-colored noise case. However, for delays k greater than unity they require the implementation of k interlaced adaptation algorithms. Using an indirect adaptive control approach, we show that in the white noise case a single adaptation algorithm suffices to establish that, with probability one, the systems input, output and the output tracking error are sample mean-square bounded. Moreover, the conditional variance of the output tracking error is shown to converge to its global minimum value with probability one.

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Automatic Control, IEEE Transactions on  (Volume:27 ,  Issue: 1 )