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Research Papers

Further Results on Exponential Stability and State Feedback Stabilization for Time Delay Singular Saturating Actuator Systems With Delay-Dependence

[+] Author and Article Information
Pin-Lin Liu

Department of Automation Engineering,
Institute of Mechatronoptic System,
Chienkuo Technology University,
Changhua 500, Taiwan
e-mail: lpl@cc.ctu.edu.tw

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 20, 2013; final manuscript received March 31, 2017; published online June 28, 2017. Assoc. Editor: Joseph Beaman.

J. Dyn. Sys., Meas., Control 139(10), 101005 (Jun 28, 2017) (9 pages) Paper No: DS-13-1456; doi: 10.1115/1.4036409 History: Received November 20, 2013; Revised March 31, 2017

This paper will study the exponential stable and state feedback stabilization of time delay singular systems with saturation actuators. Some sufficient conditions for existence of controller are obtained by using the linear matrix inequalities (LMIs) and integral inequality approach (IIA). When these LMIs are feasible, an explicit expression of controller is obtained. Based on Lyapunov–Krasovskii functional (LKF) techniques, a novel exponential stabilization criterion has been also derived in terms of LMIs which can be easily solved with efficient convex optimization algorithm. Our results are less conservative than some existing ones, and the decision variables involved in this paper are less than them. Examples illustrate our results as less conservative than those reported in the literature.

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Figures

Grahic Jump Location
Fig. 1

The simulation of Example 1 for h  = 4.87 s

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Fig. 2

The simulation of Example 3 for h  = 1.15 s

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Fig. 3

The simulation of Example 4 for h  = 2.9 s

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