Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Nonsmooth and discontinuous speed-gradient algorithms. / Fradkov, A. L.; Dolgopolik, M. V.
в: Nonlinear Analysis: Hybrid Systems, Том 25, 08.2017, стр. 99-113.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
}
TY - JOUR
T1 - Nonsmooth and discontinuous speed-gradient algorithms
AU - Fradkov, A. L.
AU - Dolgopolik, M. V.
PY - 2017/8
Y1 - 2017/8
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
UR - http://www.scopus.com/inward/record.url?scp=85016727804&partnerID=8YFLogxK
U2 - 10.1016/j.nahs.2017.03.005
DO - 10.1016/j.nahs.2017.03.005
M3 - статья
AN - SCOPUS:85016727804
VL - 25
SP - 99
EP - 113
JO - Nonlinear Analysis: Hybrid Systems
JF - Nonlinear Analysis: Hybrid Systems
SN - 1751-570X
ER -
ID: 13387446