Nonsmooth and discontinuous speed-gradient algorithms

A. L. Fradkov, M. V. Dolgopolik

Результат исследований: Научные публикации в периодических изданияхстатья

6 Цитирования (Scopus)

Выдержка

In this article, nonsmooth extensions of the Speed-Gradient (SG) algorithms in differential and finite forms are proposed. The conditions ensuring achievement of the control goal (convergence of the goal function to zero) are established. Furthermore, conditions under which the control goal is achieved in finite time with the use of nonsmooth or discontinuous SG algorithms are obtained. Theoretical results are illustrated by example of nonsmooth energy-based control for a non-affine in control pendulum-like system.

Язык оригиналаанглийский
Страницы (с-по)99-113
Число страниц15
ЖурналNonlinear Analysis: Hybrid Systems
Том25
DOI
СостояниеОпубликовано - 1 авг 2017

Отпечаток

Gradient Algorithm
Pendulum
Pendulums
Zero
Energy

Предметные области Scopus

  • Системотехника
  • Анализ
  • Прикладные компьютерные науки

Цитировать

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Nonsmooth and discontinuous speed-gradient algorithms. / Fradkov, A. L.; Dolgopolik, M. V.

В: Nonlinear Analysis: Hybrid Systems, Том 25, 01.08.2017, стр. 99-113.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - Nonsmooth and discontinuous speed-gradient algorithms

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AU - Dolgopolik, M. V.

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N2 - In this article, nonsmooth extensions of the Speed-Gradient (SG) algorithms in differential and finite forms are proposed. The conditions ensuring achievement of the control goal (convergence of the goal function to zero) are established. Furthermore, conditions under which the control goal is achieved in finite time with the use of nonsmooth or discontinuous SG algorithms are obtained. Theoretical results are illustrated by example of nonsmooth energy-based control for a non-affine in control pendulum-like system.

AB - In this article, nonsmooth extensions of the Speed-Gradient (SG) algorithms in differential and finite forms are proposed. The conditions ensuring achievement of the control goal (convergence of the goal function to zero) are established. Furthermore, conditions under which the control goal is achieved in finite time with the use of nonsmooth or discontinuous SG algorithms are obtained. Theoretical results are illustrated by example of nonsmooth energy-based control for a non-affine in control pendulum-like system.

KW - Finite-time convergence

KW - Nonsmooth systems

KW - Pendulum

KW - Speed-gradient

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