Delay-dependent Non-fragile <i>H</i><sub>∞</sub> Control for Linear Systems with Interval Time-varying Delay

Jun-Jun Hui; He-Xin Zhang; Xiang-Yu Kong

doi:10.1007/s11633-014-0851-0

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0851-0

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China;
Mailbox 150 extension 11, Baoji, Shaanxi 721013, China

基金项目:

This work was supported by National Natural Science Foundation of China (Nos. 61074072 and 61374120).

详细信息

作者简介:
He-Xin Zhang received his M. Sc. degree in control science and engineering from Northwestern Polytechnical University, China in 1994, and his Ph.D. degree in control science and engineering from Xi an Research Institute of High Technology, China in 2001. Now he works as a professor in the 301 Section, Xi an Research Institute of High Technology, China. His research interests include nonlinear system identification and control, measurement and control, and adaptive control. E-mail: epzhx301@163.com

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China;
Mailbox 150 extension 11, Baoji, Shaanxi 721013, China

Funds:

This work was supported by National Natural Science Foundation of China (Nos. 61074072 and 61374120).

摘要: This paper considers the problem of delay-dependent non-fragile H_∞ control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functional (LKF) with triple-integral terms and augment terms is introduced. Then, by using the integral inequalities and convex combination technique, an improved H_∞ performance analysis criterion and non-fragile H_∞ controller are formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by using standard numerical packages. At last, two numerical examples are provided to demonstrate the effectiveness of the obtained results.
- Lyapunov-Krasovskii functional (LKF) /
- non-fragile /
- H_∞ control /
- linear matrix inequality (LMI) /
- interval time-varying delay
Abstract: This paper considers the problem of delay-dependent non-fragile H_∞ control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functional (LKF) with triple-integral terms and augment terms is introduced. Then, by using the integral inequalities and convex combination technique, an improved H_∞ performance analysis criterion and non-fragile H_∞ controller are formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by using standard numerical packages. At last, two numerical examples are provided to demonstrate the effectiveness of the obtained results.
- Lyapunov-Krasovskii functional (LKF) /
- non-fragile /
- H_∞ control /
- linear matrix inequality (LMI) /
- interval time-varying delay

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Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0851-0

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

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Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0851-0

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China;

Mailbox 150 extension 11, Baoji, Shaanxi 721013, China

English Abstract

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China;

Mailbox 150 extension 11, Baoji, Shaanxi 721013, China

全文HTML

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Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0851-0

Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay

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Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay

doi: 10.1007/s11633-014-0851-0

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China; Mailbox 150 extension 11, Baoji, Shaanxi 721013, China

English Abstract

Delay-dependent Non-fragile H∞ Control for Linear Systems with Interval Time-varying Delay

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China; Mailbox 150 extension 11, Baoji, Shaanxi 721013, China

全文HTML

目录

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China;

Mailbox 150 extension 11, Baoji, Shaanxi 721013, China

Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

The Xi an Research Institute of High Technology, Xi an, Shaanxi 710025, China;

Mailbox 150 extension 11, Baoji, Shaanxi 721013, China