Mathematics & Physics 2017, 10(1), 96–107 УДК 62-503.57 On the Nonparametric Identification and Dual Adaptive Control of Dynamic Processes Alexander V.Medvedev∗ Siberian State Aerospace University Krasnoyarskiy Rabochiy, 31, Krasnoyarsk, 660014 Russia Anastasia V. Raskina† Institute of Space and Information Technology Siberian Federal University Kirenskogo, 26, Krasnoyarsk, 660041 Russia Received 10.05.2016, received in revised form 24.07.2016, accepted 20.11.2016 A problem of nonparametric control of dynamic objects in discrete-continuous process is considered. <...> The emphasis is placed on development of dual control non-parametric algorithms. <...> Results of simulation experiment are described in details. <...> These results demonstrate that the quality of control can be considerably improved in comparison with standard controllers by using the non-parametric dual control algorithm. <...> Introduction The modern control theory falls largely into category of parametric theories. <...> It means that some parametric framework or an equation with free parameters [1] is assumed to describe the process. <...> However, a priori information is often not sufficient to reasonably choose the parametric model class. <...> There are some things that complicate the problem solution: random noise with unknown distribution law, uncertainty and incompleteness of data. <...> It is natural to use the non-parametric control system theory, when a priori information is not sufficient to choose a parametric model of the process [3, 4]. <...> This means that the use of non-parametric theory allow us to completely exclude the definition of the parametric structure of an object model. <...> In what follows we consider control problems in the context of non-parametric uncertainty and also the case when a priori information complies with both parametric and non-parametric types. <...> This paper is devoted to the study of the non-parametric algorithm of dual control of dynamic processes. ∗saor.medvedev@sibsau.ru †stasy144@yandex.ru ⃝ Siberian Federal University. <...> All rights reserved c – 96 – Alexander V.Medvedev, Anastasia V. Raskina On the Nonparametric Identification and Dual Adaptive . . . 1. <...> The Level of a priori information Various levels of a priori information are considered by A. Feldbaum [5]. <...> The parametric level of a priori information means that the parametric structure of the model and some characteristics of random noises with zero mean and limited variance are known. <...> Non-parametric identification Fig <...>