Design of an improved tracking differentiator

Lian Zheng Ge; Jian Chen; Rui Feng Li

Design of an improved tracking differentiator

Lian Zheng Ge
, Jian Chen
, Rui Feng Li^*

^*Corresponding author for this work

School of Mechatronics Engineering, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

To improve the robustness of tracking differentiator, the nonlinear sliding mode tracking differentiator is analyzed in details in this paper. Then an improved second-order sliding mode tracking differentiator is presented using Lyapunov stability theory. Integrating the characteristics of linear and nonlinear tracking differentiators, the proposed tracking differentiator can track and differentiate any signal; meanwhile, its structure is simple and it is easy for application. Numerical simulations are carried out on this improved tracking differentiator and on a super-twisting tracking differentiator. Results show that the improved tracking differentiator can reduce the chartering of differential signal.

Original language	English
Pages (from-to)	1439-1443
Number of pages	5
Journal	Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)
Volume	41
Issue number	5
State	Published - Sep 2011
Externally published	Yes

Keywords

Robustness
Second-order sliding mode
Tracking differentiator

Cite this

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title = "Design of an improved tracking differentiator",

abstract = "To improve the robustness of tracking differentiator, the nonlinear sliding mode tracking differentiator is analyzed in details in this paper. Then an improved second-order sliding mode tracking differentiator is presented using Lyapunov stability theory. Integrating the characteristics of linear and nonlinear tracking differentiators, the proposed tracking differentiator can track and differentiate any signal; meanwhile, its structure is simple and it is easy for application. Numerical simulations are carried out on this improved tracking differentiator and on a super-twisting tracking differentiator. Results show that the improved tracking differentiator can reduce the chartering of differential signal.",

keywords = "Robustness, Second-order sliding mode, Tracking differentiator",

author = "Ge, \{Lian Zheng\} and Jian Chen and Li, \{Rui Feng\}",

year = "2011",

month = sep,

language = "英语",

volume = "41",

pages = "1439--1443",

journal = "Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)",

issn = "1671-5497",

publisher = "Editorial Board of Jilin University",

number = "5",

}

TY - JOUR

T1 - Design of an improved tracking differentiator

AU - Ge, Lian Zheng

AU - Chen, Jian

AU - Li, Rui Feng

PY - 2011/9

Y1 - 2011/9

N2 - To improve the robustness of tracking differentiator, the nonlinear sliding mode tracking differentiator is analyzed in details in this paper. Then an improved second-order sliding mode tracking differentiator is presented using Lyapunov stability theory. Integrating the characteristics of linear and nonlinear tracking differentiators, the proposed tracking differentiator can track and differentiate any signal; meanwhile, its structure is simple and it is easy for application. Numerical simulations are carried out on this improved tracking differentiator and on a super-twisting tracking differentiator. Results show that the improved tracking differentiator can reduce the chartering of differential signal.

AB - To improve the robustness of tracking differentiator, the nonlinear sliding mode tracking differentiator is analyzed in details in this paper. Then an improved second-order sliding mode tracking differentiator is presented using Lyapunov stability theory. Integrating the characteristics of linear and nonlinear tracking differentiators, the proposed tracking differentiator can track and differentiate any signal; meanwhile, its structure is simple and it is easy for application. Numerical simulations are carried out on this improved tracking differentiator and on a super-twisting tracking differentiator. Results show that the improved tracking differentiator can reduce the chartering of differential signal.

KW - Robustness

KW - Second-order sliding mode

KW - Tracking differentiator

UR - https://www.scopus.com/pages/publications/80052814945

M3 - 文章

AN - SCOPUS:80052814945

SN - 1671-5497

VL - 41

SP - 1439

EP - 1443

JO - Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)

JF - Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition)

IS - 5

ER -

Design of an improved tracking differentiator

Abstract

Keywords

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