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

University of Sheffield
University of Alabama in Huntsville

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

30 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

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10.1109/TIE.2009.2017089

Cite this

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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.",

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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 - https://www.scopus.com/pages/publications/69349092706

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DO - 10.1109/TIE.2009.2017089

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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

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