Second-order SM approach to SISO time-delay system output tracking

Gang Liu; Alan Zinober; Yuri B. Shtessel

doi:10.1109/TIE.2009.2017089

Second-order SM approach to SISO time-delay system output tracking

Gang Liu^*, Alan Zinober, Yuri B. Shtessel

^*Corresponding author for this work

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

29 Citations (Scopus)

Abstract

A fully linearizable single-input-single-output relative-degree n system with an output time delay is considered in this paper. Using the approach of Padé approximation, system center approach, and second-order sliding-mode (SM) control, we have obtained good output tracking results. The Smith predictor is used to compensate the difference between the actual delayed output and its approximation. A second-order supertwisting SM observer observes the disturbance in the plant. A nonlinear example is studied to show the effect of this methodology.

Original language	English
Pages (from-to)	3638-3645
Number of pages	8
Journal	IEEE Transactions on Industrial Electronics
Volume	56
Issue number	9
DOIs	https://doi.org/10.1109/TIE.2009.2017089
Publication status	Published - 2009
Externally published	Yes

Keywords

Output delay
Padé approximation
Second-order sliding-mode (SM) control
Stable system center

Access to Document

10.1109/TIE.2009.2017089

Cite this

Liu, G., Zinober, A., & Shtessel, Y. B. (2009). Second-order SM approach to SISO time-delay system output tracking. IEEE Transactions on Industrial Electronics, 56(9), 3638-3645. https://doi.org/10.1109/TIE.2009.2017089

@article{7885b3e5925e49e28d92e34e09e43d3c,

title = "Second-order SM approach to SISO time-delay system output tracking",

abstract = "A fully linearizable single-input-single-output relative-degree n system with an output time delay is considered in this paper. Using the approach of Pad{\'e} approximation, system center approach, and second-order sliding-mode (SM) control, we have obtained good output tracking results. The Smith predictor is used to compensate the difference between the actual delayed output and its approximation. A second-order supertwisting SM observer observes the disturbance in the plant. A nonlinear example is studied to show the effect of this methodology.",

keywords = "Output delay, Pad{\'e} approximation, Second-order sliding-mode (SM) control, Stable system center",

author = "Gang Liu and Alan Zinober and Shtessel, {Yuri B.}",

note = "Funding Information: He has been the recipient of a number of Engineering and Physical Sciences Research Council research grants. He has been the Chairman of the IEEE (U.K. and RI, U.S.) Control Systems Chapter.",

year = "2009",

doi = "10.1109/TIE.2009.2017089",

language = "English",

volume = "56",

pages = "3638--3645",

journal = "IEEE Transactions on Industrial Electronics",

issn = "0278-0046",

number = "9",

}

TY - JOUR

T1 - Second-order SM approach to SISO time-delay system output tracking

AU - Liu, Gang

AU - Zinober, Alan

AU - Shtessel, Yuri B.

N1 - Funding Information: He has been the recipient of a number of Engineering and Physical Sciences Research Council research grants. He has been the Chairman of the IEEE (U.K. and RI, U.S.) Control Systems Chapter.

PY - 2009

Y1 - 2009

N2 - A fully linearizable single-input-single-output relative-degree n system with an output time delay is considered in this paper. Using the approach of Padé approximation, system center approach, and second-order sliding-mode (SM) control, we have obtained good output tracking results. The Smith predictor is used to compensate the difference between the actual delayed output and its approximation. A second-order supertwisting SM observer observes the disturbance in the plant. A nonlinear example is studied to show the effect of this methodology.

AB - A fully linearizable single-input-single-output relative-degree n system with an output time delay is considered in this paper. Using the approach of Padé approximation, system center approach, and second-order sliding-mode (SM) control, we have obtained good output tracking results. The Smith predictor is used to compensate the difference between the actual delayed output and its approximation. A second-order supertwisting SM observer observes the disturbance in the plant. A nonlinear example is studied to show the effect of this methodology.

KW - Output delay

KW - Padé approximation

KW - Second-order sliding-mode (SM) control

KW - Stable system center

UR - http://www.scopus.com/inward/record.url?scp=69349092706&partnerID=8YFLogxK

U2 - 10.1109/TIE.2009.2017089

DO - 10.1109/TIE.2009.2017089

M3 - Article

AN - SCOPUS:69349092706

SN - 0278-0046

VL - 56

SP - 3638

EP - 3645

JO - IEEE Transactions on Industrial Electronics

JF - IEEE Transactions on Industrial Electronics

IS - 9

ER -

Second-order SM approach to SISO time-delay system output tracking

Abstract

Keywords

Access to Document

Other files and links

Cite this