The dual control algorithm of nonlinear dynamic processes in the conditions of incomplete a priori information

Abstract

The problem of controlling nonlinear dynamic systems under conditions of incomplete a priori information about the model of the differential equation of the process is considered. Nonparametric models are given in which the order of the difference equation of the dynamic process is refined based on the rule for distinguishing significant variables. According to this rule, only those variables are included in the nonparametric model for which the minimum bandwidth is minimal. Nonparametric algorithms of dual control of nonlinear objects are given. Control devices built on the basis of these algorithms perform not only the direct function of controlling the object, but also its study. The process of training the dual control system with active accumulation of information is analyzed. The results of a numerical study of the application of the nonparametric adaptive dual control algorithm are presented.