This paper deals with the stabilization criteria for a class of time-varying delay systems with saturating actuator. Based on the Lyapunov–Krasovskii functional combining with linear matrix inequality techniques and Leibniz–Newton formula, delay-dependent stabilization criteria are derived using a state feedback controller. We also consider efficient convex optimization algorithms to the time-varying delay system with saturating actuator case: the maximal bound on the time delay such that the prescribed level of operation range and imposed exponential stability requirements are still preserved. The value of the time-delay as well as its rate of change are taken into account in the design method presented and further permit us to reduce the conservativeness of the approach. The results have been illustrated by given numerical examples. These results are shown to be less conservative than those reported in the literature.
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e-mail: lpl@cc.ctu.edu.tw
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January 2011
Technical Briefs
Exponential Delay Dependent Stabilization for Time-Varying Delay Systems With Saturating Actuator
Pin-Lin Liu
Pin-Lin Liu
Associate Professor
Department of Electrical Engineering,
e-mail: lpl@cc.ctu.edu.tw
Chienkuo Technology University
, Changhua, 500 Taiwan, R.O.C.
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Pin-Lin Liu
Associate Professor
Department of Electrical Engineering,
Chienkuo Technology University
, Changhua, 500 Taiwan, R.O.C.e-mail: lpl@cc.ctu.edu.tw
J. Dyn. Sys., Meas., Control. Jan 2011, 133(1): 014502 (6 pages)
Published Online: November 23, 2010
Article history
Received:
April 13, 2009
Revised:
February 23, 2010
Online:
November 23, 2010
Published:
November 23, 2010
Citation
Liu, P. (November 23, 2010). "Exponential Delay Dependent Stabilization for Time-Varying Delay Systems With Saturating Actuator." ASME. J. Dyn. Sys., Meas., Control. January 2011; 133(1): 014502. https://doi.org/10.1115/1.4002713
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