Robust controller design for a class of time delay systems with uncertainty

Shurong Li; Yang Qing; Xiuli Xue

doi:10.1109/CHICC.2006.4346807

Robust controller design for a class of time delay systems with uncertainty

Shurong Li, Yang Qing, Xiuli Xue

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, a class of single input single output time-delay nonlinear systems with uncertainty is considered. Based on an iterative procedure known as backstepping, the Lyapunov-Krasovskii functionals are constructed at each step. By magnifying inequation at each step, a robust controller expression can be acquired, and the uniformly ultimately boundedness of the closed loop system can be guaranteed. A practice industry process - a two stage CSTR has been provided to illustrate the application of the main result. The simulation shows that the controller proposed in this paper has well control behavior.

Original language	English
Title of host publication	Proceedings of the 26th Chinese Control Conference, CCC 2007
Pages	245-249
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2006.4346807
Publication status	Published - 2007
Event	26th Chinese Control Conference - Zhangjiajie, China Duration: 26 Jul 2007 → 31 Jul 2007

Conference

Conference	26th Chinese Control Conference
Abbreviated title	CCC 2007
Country/Territory	China
City	Zhangjiajie
Period	26/07/07 → 31/07/07

Keywords

Backstepping
Lyapunov-Krasovskii functional
Nonlinear systems
Time delay

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10.1109/CHICC.2006.4346807

Cite this

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title = "Robust controller design for a class of time delay systems with uncertainty",

abstract = "In this paper, a class of single input single output time-delay nonlinear systems with uncertainty is considered. Based on an iterative procedure known as backstepping, the Lyapunov-Krasovskii functionals are constructed at each step. By magnifying inequation at each step, a robust controller expression can be acquired, and the uniformly ultimately boundedness of the closed loop system can be guaranteed. A practice industry process - a two stage CSTR has been provided to illustrate the application of the main result. The simulation shows that the controller proposed in this paper has well control behavior.",

keywords = "Backstepping, Lyapunov-Krasovskii functional, Nonlinear systems, Time delay",

author = "Shurong Li and Yang Qing and Xiuli Xue",

year = "2007",

doi = "10.1109/CHICC.2006.4346807",

language = "English",

isbn = "7900719229",

pages = "245--249",

booktitle = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

note = "26th Chinese Control Conference, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",

}

TY - GEN

T1 - Robust controller design for a class of time delay systems with uncertainty

AU - Li, Shurong

AU - Qing, Yang

AU - Xue, Xiuli

PY - 2007

Y1 - 2007

N2 - In this paper, a class of single input single output time-delay nonlinear systems with uncertainty is considered. Based on an iterative procedure known as backstepping, the Lyapunov-Krasovskii functionals are constructed at each step. By magnifying inequation at each step, a robust controller expression can be acquired, and the uniformly ultimately boundedness of the closed loop system can be guaranteed. A practice industry process - a two stage CSTR has been provided to illustrate the application of the main result. The simulation shows that the controller proposed in this paper has well control behavior.

AB - In this paper, a class of single input single output time-delay nonlinear systems with uncertainty is considered. Based on an iterative procedure known as backstepping, the Lyapunov-Krasovskii functionals are constructed at each step. By magnifying inequation at each step, a robust controller expression can be acquired, and the uniformly ultimately boundedness of the closed loop system can be guaranteed. A practice industry process - a two stage CSTR has been provided to illustrate the application of the main result. The simulation shows that the controller proposed in this paper has well control behavior.

KW - Backstepping

KW - Lyapunov-Krasovskii functional

KW - Nonlinear systems

KW - Time delay

UR - https://www.scopus.com/pages/publications/37749028766

U2 - 10.1109/CHICC.2006.4346807

DO - 10.1109/CHICC.2006.4346807

M3 - Conference contribution

SN - 7900719229

SN - 9787900719225

SP - 245

EP - 249

BT - Proceedings of the 26th Chinese Control Conference, CCC 2007

T2 - 26th Chinese Control Conference

Y2 - 26 July 2007 through 31 July 2007

ER -

Robust controller design for a class of time delay systems with uncertainty

Abstract

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Keywords

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