Output Delay Systems Tracking Using System Centre Approach and Sliding Mode Control

Gang Liu; Alan S.I. Zinober; Yuri B. Shtessel

doi:10.1002/9780470612217.ch25

Output Delay Systems Tracking Using System Centre Approach and Sliding Mode Control

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

^*Corresponding author for this work

Research output: Chapter in Book or Report/Conference proceeding › Chapter › peer-review

Abstract

Output tracking in SISO fully linearizable nonlinear systems with an output time delay is considered using sliding mode control and the system centre approach. Using Padé approximations for the delay, the problem is reduced to the tracking of a nonminimum phase control system. This system is transformed into a corresponding state tracking problem, where the state tracking profiles are generated by the equations of the stable system centre. The sliding mode control approach is developed and numerical examples are presented. Also the describing function is used to evaluate the limit cycle generated by the feedback of the actual delayed output and these results agree very closely with the system simulations.

Original language	English
Title of host publication	Taming Heterogeneity and Complexity of Embedded Control
Publisher	John Wiley & Sons, Inc.
Pages	435-450
Number of pages	16
ISBN (Print)	9781905209651
DOIs	https://doi.org/10.1002/9780470612217.ch25
Publication status	Published - 7 Mar 2013
Externally published	Yes

Keywords

Nonlinear systems
Output delay systems
Output tracking
Padé approximations
Sliding mode control
System centre approach

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10.1002/9780470612217.ch25

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title = "Output Delay Systems Tracking Using System Centre Approach and Sliding Mode Control",

abstract = "Output tracking in SISO fully linearizable nonlinear systems with an output time delay is considered using sliding mode control and the system centre approach. Using Pad{\'e} approximations for the delay, the problem is reduced to the tracking of a nonminimum phase control system. This system is transformed into a corresponding state tracking problem, where the state tracking profiles are generated by the equations of the stable system centre. The sliding mode control approach is developed and numerical examples are presented. Also the describing function is used to evaluate the limit cycle generated by the feedback of the actual delayed output and these results agree very closely with the system simulations.",

keywords = "Nonlinear systems, Output delay systems, Output tracking, Pad{\'e} approximations, Sliding mode control, System centre approach",

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

year = "2013",

month = mar,

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doi = "10.1002/9780470612217.ch25",

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T1 - Output Delay Systems Tracking Using System Centre Approach and Sliding Mode Control

AU - Liu, Gang

AU - Zinober, Alan S.I.

AU - Shtessel, Yuri B.

PY - 2013/3/7

Y1 - 2013/3/7

N2 - Output tracking in SISO fully linearizable nonlinear systems with an output time delay is considered using sliding mode control and the system centre approach. Using Padé approximations for the delay, the problem is reduced to the tracking of a nonminimum phase control system. This system is transformed into a corresponding state tracking problem, where the state tracking profiles are generated by the equations of the stable system centre. The sliding mode control approach is developed and numerical examples are presented. Also the describing function is used to evaluate the limit cycle generated by the feedback of the actual delayed output and these results agree very closely with the system simulations.

AB - Output tracking in SISO fully linearizable nonlinear systems with an output time delay is considered using sliding mode control and the system centre approach. Using Padé approximations for the delay, the problem is reduced to the tracking of a nonminimum phase control system. This system is transformed into a corresponding state tracking problem, where the state tracking profiles are generated by the equations of the stable system centre. The sliding mode control approach is developed and numerical examples are presented. Also the describing function is used to evaluate the limit cycle generated by the feedback of the actual delayed output and these results agree very closely with the system simulations.

KW - Nonlinear systems

KW - Output delay systems

KW - Output tracking

KW - Padé approximations

KW - Sliding mode control

KW - System centre approach

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DO - 10.1002/9780470612217.ch25

M3 - Chapter

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SP - 435

EP - 450

BT - Taming Heterogeneity and Complexity of Embedded Control

PB - John Wiley & Sons, Inc.

ER -

Output Delay Systems Tracking Using System Centre Approach and Sliding Mode Control

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Keywords

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