RT info:eu-repo/semantics/article
T1 Robust H∞ controller design for uncertain 2D continuous systems with interval time-varying delays
A1 Badie, Khalid
A1 Alfidi, Mohammed
A1 Tadeo Rico, Fernando Juan
A1 Chalh, Zakaria
K1 Sistemas continuos 2-D
K1 Desigualdad de Wirtinger
K1 2-D continuous systems
K1 Wirtinger inequality
K1 33 Ciencias Tecnológicas
AB The design of delay-dependent robust H∞ controllers is solved here for a class of uncertain 2D continuous systems: those with interval time-varying delays and norm-bounded parameter uncertainties. By constructing a novel augmented Lyapunov–Krasovskii functional and then using the Wirtinger inequality, a new delay-dependent stability condition is developed, that uses the known lower and upper bounds of the time-varying delays to develop less conservative solutions that previous results in the literature. This condition is then applied to H∞ performance analysis and robust H∞ controller design, using linear matrix inequalities (LMIs). Two numerical examples are presented that illustrate the effectiveness of the proposed method.
PB Taylor and Francis
SN 0020-7721
YR 2020
FD 2020
LK https://uvadoc.uva.es/handle/10324/46781
UL https://uvadoc.uva.es/handle/10324/46781
LA eng
NO International Journal of Systems Science, 2020, vol. 51, n. 3, p. 440-460
NO Producción Científica
DS UVaDOC
RD 23-abr-2024