[HTML][HTML] Tutorial and review on the state-dependent Riccati equation

SR Nekoo - Journal of Applied Nonlinear Dynamics, 2019 - lhscientificpublishing.com
This paper presents an extensive tutorial and a complete review on the state-dependent
Riccati equation (SDRE). The review covers contributions from the beginning to (near the …

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 …

Construction of parametric regulators for nonlinear control systems based on the Pade approximations of the matrix Riccati equation solution

YE Danik, MG Dmitriev - IFAC-PapersOnLine, 2018 - Elsevier
An approach to the construction of state controllers for nonlinear control systems with a
parameter represented in a pseudo-linear form based on the Padé approximations of the …

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 …

A comparison of numerical algorithms for discrete-time state dependent coefficients control systems

YE Danik, MG Dmitriev - 2017 21st International Conference on …, 2017 - ieeexplore.ieee.org
Five stabilizing controls for discrete-time quasilinear control systems based on the solution
of the Discrete-Time State Dependent Riccati Equation (D-SDRE) are examined. One of the …

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 …

Symbolic Padé representation of stabilizing regulators for a class of nonlinear control systems with a parameter

Y Danik, M Dmitriev - Procedia Computer Science, 2021 - Elsevier
An approach for the construction of a parametric set of stabilizing controls for a class of
pseudo-linear control systems with a parameter that varies on a certain interval of the …

Investigation of a Single-Axis Control Algorithm for the Inspection Motion of a Gravitationally Stabilized Nanosatellite

IV Belokonov, MS Shcherbakov… - 2022 29th Saint …, 2022 - ieeexplore.ieee.org
The article describes the experimental results of a single-axis control algorithm to maintain
the inspection motion. The modified Hill ellipse is chosen as a nominal inspection trajectory …

Development of a Single-Axis Control Law Based on SDRE-Technology for Inspection Motion of Two Nanosatellites

IV Belokonov, MS Shcherbakov - 2021 28th Saint Petersburg …, 2021 - ieeexplore.ieee.org
The article investigates possibility of low orbit radio interferometer consisting of two follower
CubeSat nanosatellites moving on near-circular coplanar orbits with heights 500–600 km …

Robust Control Objects with Delayed Admission by the Extended Model

IV Gogol, IV Zhukov, OA Remizova, AL Fokin - Cyber-Physical Systems …, 2022 - Springer
The problem of robust control of an object with delay is one of the main ones in the
automation of technological processes. There are many different approaches to solving the …