Problem of soil acidity regularization is modeled as stochastic adaptive control problem with a linear difference equation of the dynamics of a field pH level. Stochastic component in the equation represents an individual time variability of soil acidity of an elementary section. We use Bayesian approach to determine a posteriori probability density function of the unknown parameters of the stochastic transition process. The Kullback–Leibler information divergence is used as a measure of difference between true distribution and its estimation. Algorithm for the construction of an adaptive stabilizing control in such a linear control system is proposed in the paper. Numerical realization of the algorithm is represented for a problem of a field soil acidity control.
Original languageEnglish
Pages (from-to)1671-1677
Number of pages7
JournalStochastic Environmental Research and Risk Assessment
Issue number6
Publication statusPublished - 2015

Scopus subject areas

  • Mathematics(all)

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