Symbolic regulator sets for a weakly nonlinear discrete control system with a small step

Y Danik, M Dmitriev - Mathematics, 2022 - mdpi.com
For a class of discrete weakly nonlinear state-dependent coefficient (SDC) control systems,
a suboptimal synthesis is constructed over a finite interval with a large number of steps. A …

Multilayer cognitive architecture for UAV control

S Emel'yanov, D Makarov, AI Panov… - Cognitive Systems …, 2016 - Elsevier
Extensive use of unmanned aerial vehicles (UAVs) in recent years has induced the rapid
growth of research areas related to UAV production. Among these, the design of control …

The construction of stabilizing regulators sets for nonlinear control systems with the help of Padé approximations

Y Danik, M Dmitriev - Nonlinear Dynamics of Discrete and Continuous …, 2021 - Springer
Here an overview of some stabilizing control synthesis algorithms based on the Padé
approximation technique for nonlinear control regularly perturbed state dependent …

The stabilizing composite control in a weakly nonlinear singularly perturbed control system

MG Dmitriev, DA Makarov - 2017 21st International Conference …, 2017 - ieeexplore.ieee.org
We investigated an approach to a stabilizing nonlinear regulator construction in weakly
nonlinear singularly perturbed control system. The control design had two stages. First of all …

The robustness of the stabilizing regulator for quasi-linear discrete systems with state dependent coefficients

YE Danik, MG Dmitriev - 2016 International Siberian …, 2016 - ieeexplore.ieee.org
This paper deals with the construction of a nonlinear stabilizing regulator based on a D-
SDRE (Discrete-Time State Dependent Riccati Equation) technique for a class of nonlinear …

Stabilization of nonlinear discrete-time dynamic control systems with a parameter and state-dependent coefficients

SV Emel'yanov, YE Danik, MG Dmitriev… - Doklady …, 2016 - Springer
A numerical-analytical algorithm for designing nonlinear stabilizing regulators for the class
of nonlinear discrete-time control systems is proposed that significantly reduces …

One D-SDRE regulator for weakly nonlinear discrete statedependent coefficients control systems

YE Danik - 2020 7th International Conference on Control …, 2020 - ieeexplore.ieee.org
Here the stabilizing regulator for quasilinear discrete state-dependent coefficients control
systems is constructed based on the formal asymptotic approximation of an arbitrary order of …

Feedback Control Algorithms for Some Classes of Nonlinear Systems with a Parameter at Finite Interval

Y Danik, M Dmitriev - 2021 14th International Conference …, 2021 - ieeexplore.ieee.org
An efficient numerical algorithm is proposed to determine the feedback control for systems
on a finite interval with a parameter at the control matrix that takes either small or large …

A design of an approximate regulator for a weakly nonlinear terminal control problem using the penalty functions method

MG Dmitriev, DA Makarov - AIP Conference Proceedings, 2018 - pubs.aip.org
We consider the problem of nonlinear feedback control contraction for a weakly nonlinear
system which is linear in state and control, but has state-dependent coefficients. The control …

The near optimality of the stabilizing control in a weakly nonlinear system with state-dependent coefficients

MG Dmitriev, DA Makarov - AIP Conference Proceedings, 2016 - pubs.aip.org
We carried out analysis of near optimality of one computationally effective nonlinear
stabilizing control built for weakly nonlinear systems with coefficients depending on the state …