Exponential Convergence of Time-Delay Systems in the Presence of Bounded Disturbances

P. T. Nam (), P. N. Pathirana () and H. Trinh ()
Additional contact information
P. T. Nam: Quynhon University
P. N. Pathirana: Deakin University
H. Trinh: Deakin University

Journal of Optimization Theory and Applications, 2013, vol. 157, issue 3, No 14, 843-852

Abstract: Abstract In this paper, the problem of control design for exponential convergence of state/input delay systems with bounded disturbances is considered. Based on the Lyapunov–Krasovskii method combining with the delay-decomposition technique, a new sufficient condition is proposed for the existence of a state feedback controller, which guarantees that all solutions of the closed-loop system converge exponentially (with a pre-specified convergence rate) within a ball whose radius is minimized. The obtained condition is given in terms of matrix inequalities with one parameter needing to be tuned, which can be solved by using a one-dimensional search method with Matlab’s LMI Toolbox to minimize the radius of the ball. Two numerical examples are given to illustrate the superiority of the proposed method.

Keywords: Exponential convergence; Time-delay systems; Bounded disturbances (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-012-0240-1

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