TY - GEN
A1 - Thuan, Mai Viet
A1 - Phat, Vu Ngoc
A1 - Trinh, Hieu
A2 - Cordón, Oskar - ed.
A2 - Kazienko, Przemysław - ed.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds.
N2 - The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov?Krasovskii functionals and utilizing the Newton?Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed ?-convergence rate.
N2 - The design of an observer-based output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.
L1 - http://zbc.uz.zgora.pl/Content/59002/AMCS_2012_22_4_11.pdf
L2 - http://zbc.uz.zgora.pl/Content/59002
KW - observer-based feedback control
KW - interval time-varying delay
KW - linear matrix inequalities
KW - Lyapunov-Krasovskii functionals
KW - exponential stability
T1 - Observer-based controller design of time-delay systems with an interval time-varying delay
UR - http://zbc.uz.zgora.pl/dlibra/docmetadata?id=59002
ER -