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Technical Briefs

Exponential Delay Dependent Stabilization for Time-Varying Delay Systems With Saturating Actuator

[+] Author and Article Information
Pin-Lin Liu

Department of Electrical Engineering, Chienkuo Technology University, Changhua, 500 Taiwan, R.O.C.lpl@cc.ctu.edu.tw

J. Dyn. Sys., Meas., Control 133(1), 014502 (Nov 23, 2010) (6 pages) doi:10.1115/1.4002713 History: Received April 13, 2009; Revised February 23, 2010; Published November 23, 2010; Online November 23, 2010

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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Grahic Jump Location
Figure 1

The simulation of the example 1 for h=3.8 sec

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