Issue 1 (199), article 3


Cybernetics and Computer Engineering, 2020, 1(199)

National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” 37, Peremohy av., 03056, Kyiv, Ukraine

GUBAREV V.F., DSc. (Engineering), Corresponding Member of NAS of Ukraine,
Head of the Dynamic Systems Control Department
Space Research Institute of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine
40, Acad. Glushkova, 03187, Kyiv, Ukraine


Introduction. There are a lot of systems which can be conveniently modelled as a discrete linear multi-input multi-variable system. When a control problem for such systems arises, it is usually done with methods derived from the control theory. But these methods have several known drawback. For example, for non-deterministic systems, they are based on assumption about certain convenient statistical properties of noises.

The purpose of the paper is to develop synthesis algorithms based on ideas and approaches of the Model Predictive Control (MPC).

Methods. In contrast to the common approach, in this work we aim to synthesize the best control sequence in terms of some criterion. We use results derived from the Kuhn-Tucker theorem for control synthesis.

Results. A new class of methods capable of leading linear system’s state to zero (or, in case of noisy environment, to its neighbourhood) and stabilization of cognitive map’s functioning was developed. This new methods are capable of controlling not only stable systems, but also unstable and semi-stable ones, even in presence of random perturbations and with constrained control resource. These methods differ in efficiency of control resource utilization and required computational resources. More efficient methods require more computations. That’s why it is necessary to choose an appropriate method in each particular case.

Conclusions. The developed methods can be used to control both technical and any other kinds of systems represented either as controllable linear systems with multiple inputs and outputs or as controllable cognitive maps.

Keywords: variational method, cognitive map, control synthesis, discrete controllable system, moving horizon, linear system, MPC

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Received 27.11.2019