Thuan, Mai Viet ; Phat, Vu Ngoc ; Trinh, Hieu
Cordón, Oskar - ed. ; Kazienko, Przemysław - ed.
Observer-based controller design of time-delay systems with an interval time-varying delay
Hybrid and Ensemble Methods in Machine Learning
Group publication title:
Subject and Keywords:
observer-based feedback control ; interval time-varying delay ; linear matrix inequalities ; Lyapunov-Krasovskii functionals ; exponential stability
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. ; 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. ; 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.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, Volume 22, Number 4 (2012) ; click here to follow the link