Volume 15 Number 3
June 2018
Article Contents
Piyapong Niamsup and Vu N. Phat. Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations. International Journal of Automation and Computing, vol. 15, no. 3, pp. 355-363, 2018. doi: 10.1007/s11633-016-1018-y
Cite as: Piyapong Niamsup and Vu N. Phat. Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations. International Journal of Automation and Computing, vol. 15, no. 3, pp. 355-363, 2018.

# Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations

Author Biography:
• Piyapong Niamsup   received the B.Sc.degree in mathematics from Chiang Mai University, Thailand in 1992.He also received the M.Sc.and Ph.D.degrees in mathematics from University of Illinois at Urbana-Champaign, USA in 1995 and 1997, respectively.In 1997, he joined the Department of Mathematics, Faculty of Science, Chiang Mai University, Thailand as a lecturer, where he became an associate professor, in 2006.He is the author/co-author of 55 refereed journal papers.
His research interests include complex dynamics, stability theory, switched systems, chaos synchronization, and discrete-time events.
E-mail:piyapong.n@cmu.ac.th
ORICD iD:0000-0003-2616-8605

• Corresponding author: Vu N.Phat  received the B.Sc.and Ph.D.degrees in mathematics at the former USSR Bacu State University, USSR in 1975 and 1984, respectively.He received the D.Sc.degree in mathematics at the Institute of Mathematics, Polish Academy of Sciences, Poland in 1995.Currently, he works as a professor at the Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam.He is the author/co-author of two monographs and more than 100 refereed journal papers.
His research interests include systems and control theory, optimization techniques, stability analysis, and time-delay systems.
E-mail:vnphat@math.ac.vn (Corresponding author)
ORCID iD:0000-0001-9467-6674
• Accepted: 2015-11-24
• Published Online: 2017-05-04
Fund Project:

the Chiang Mai University, Thailand and the National Foundation for Science and Technology Development, Vietnam 101.01-2014.35

• In this paper, we will present new results on robust finite-time H control for linear time-varying systems with both time-varying delay and bounded control. Delay-dependent sufficient conditions for robust finite-time stabilization and H control are first established to guarantee finite-time stability of the closed-loop system via solving Riccati differential equations. Applications to finite-time H control to a class of linear autonomous time-delay systems with bounded control are also discussed in this paper. Numerical examples are given to illustrate the effectiveness of the proposed method.
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###### 通讯作者: 陈斌, bchen63@163.com
• 1.

沈阳化工大学材料科学与工程学院 沈阳 110142

Figures (2)

## Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations

• ###### Corresponding author:Vu N.Phat  received the B.Sc.and Ph.D.degrees in mathematics at the former USSR Bacu State University, USSR in 1975 and 1984, respectively.He received the D.Sc.degree in mathematics at the Institute of Mathematics, Polish Academy of Sciences, Poland in 1995.Currently, he works as a professor at the Institute of Mathematics, Vietnam Academy of Science and Technology, Vietnam.He is the author/co-author of two monographs and more than 100 refereed journal papers.   His research interests include systems and control theory, optimization techniques, stability analysis, and time-delay systems.   E-mail:vnphat@math.ac.vn (Corresponding author)   ORCID iD:0000-0001-9467-6674
Fund Project:

the Chiang Mai University, Thailand and the National Foundation for Science and Technology Development, Vietnam 101.01-2014.35

Abstract: In this paper, we will present new results on robust finite-time H control for linear time-varying systems with both time-varying delay and bounded control. Delay-dependent sufficient conditions for robust finite-time stabilization and H control are first established to guarantee finite-time stability of the closed-loop system via solving Riccati differential equations. Applications to finite-time H control to a class of linear autonomous time-delay systems with bounded control are also discussed in this paper. Numerical examples are given to illustrate the effectiveness of the proposed method.

Piyapong Niamsup and Vu N. Phat. Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations. International Journal of Automation and Computing, vol. 15, no. 3, pp. 355-363, 2018. doi: 10.1007/s11633-016-1018-y
 Citation: Piyapong Niamsup and Vu N. Phat. Robust Finite-time H∞ Control of Linear Time-varying Delay Systems with Bounded Control via Riccati Equations. International Journal of Automation and Computing, vol. 15, no. 3, pp. 355-363, 2018.
Reference (33)

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