Adaptive neural control of SISO non-affine nonlinear time-delay systems with unknown hysteresis input

Beibei Ren; Sam Ge Shuzhi; Heng Lee Tong; Chun Yi Su

doi:10.1109/ACC.2008.4587153

Adaptive neural control of SISO non-affine nonlinear time-delay systems with unknown hysteresis input

Beibei Ren, Sam Ge Shuzhi, Heng Lee Tong, Chun Yi Su

Mechanical Engineering

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

8 Scopus citations

Abstract

In this paper, adaptive neural control is investigated for a class of SISO unknown non-affine nonlinear systems with state time-varying delays and unknown hysteresis input. The non-affine problem is solved by adopting mean value theorem and implicit function theorem. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is also mitigated through the proposed adaptive control. By utilizing the Lyapunov synthesis, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded (SGUUB).

Original language	English
Title of host publication	2008 American Control Conference, ACC
Pages	4203-4208
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2008.4587153
State	Published - 2008
Event	2008 American Control Conference, ACC - Seattle, WA, United States Duration: Jun 11 2008 → Jun 13 2008

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2008 American Control Conference, ACC
Country/Territory	United States
City	Seattle, WA
Period	06/11/08 → 06/13/08

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10.1109/ACC.2008.4587153

Cite this

@inproceedings{bdc26220b1974046b8310eb74189dc80,

title = "Adaptive neural control of SISO non-affine nonlinear time-delay systems with unknown hysteresis input",

abstract = "In this paper, adaptive neural control is investigated for a class of SISO unknown non-affine nonlinear systems with state time-varying delays and unknown hysteresis input. The non-affine problem is solved by adopting mean value theorem and implicit function theorem. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is also mitigated through the proposed adaptive control. By utilizing the Lyapunov synthesis, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded (SGUUB).",

author = "Beibei Ren and Shuzhi, {Sam Ge} and Tong, {Heng Lee} and Su, {Chun Yi}",

year = "2008",

doi = "10.1109/ACC.2008.4587153",

language = "English",

isbn = "9781424420797",

series = "Proceedings of the American Control Conference",

pages = "4203--4208",

booktitle = "2008 American Control Conference, ACC",

note = "2008 American Control Conference, ACC ; Conference date: 11-06-2008 Through 13-06-2008",

}

Ren, B, Shuzhi, SG, Tong, HL & Su, CY 2008, Adaptive neural control of SISO non-affine nonlinear time-delay systems with unknown hysteresis input. in 2008 American Control Conference, ACC., 4587153, Proceedings of the American Control Conference, pp. 4203-4208, 2008 American Control Conference, ACC, Seattle, WA, United States, 06/11/08. https://doi.org/10.1109/ACC.2008.4587153

Adaptive neural control of SISO non-affine nonlinear time-delay systems with unknown hysteresis input. / Ren, Beibei; Shuzhi, Sam Ge; Tong, Heng Lee et al.
2008 American Control Conference, ACC. 2008. p. 4203-4208 4587153 (Proceedings of the American Control Conference).

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

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T1 - Adaptive neural control of SISO non-affine nonlinear time-delay systems with unknown hysteresis input

AU - Ren, Beibei

AU - Shuzhi, Sam Ge

AU - Tong, Heng Lee

AU - Su, Chun Yi

PY - 2008

Y1 - 2008

N2 - In this paper, adaptive neural control is investigated for a class of SISO unknown non-affine nonlinear systems with state time-varying delays and unknown hysteresis input. The non-affine problem is solved by adopting mean value theorem and implicit function theorem. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is also mitigated through the proposed adaptive control. By utilizing the Lyapunov synthesis, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded (SGUUB).

AB - In this paper, adaptive neural control is investigated for a class of SISO unknown non-affine nonlinear systems with state time-varying delays and unknown hysteresis input. The non-affine problem is solved by adopting mean value theorem and implicit function theorem. The unknown time-varying delay uncertainties are compensated for using appropriate Lyapunov-Krasovskii functionals in the design. The effect of the unknown hysteresis with the Prandtl-Ishlinskii model is also mitigated through the proposed adaptive control. By utilizing the Lyapunov synthesis, the closed-loop control system is proved to be semi-globally uniformly ultimately bounded (SGUUB).

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U2 - 10.1109/ACC.2008.4587153

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M3 - Conference contribution

AN - SCOPUS:52449096411

SN - 9781424420797

T3 - Proceedings of the American Control Conference

SP - 4203

EP - 4208

BT - 2008 American Control Conference, ACC

T2 - 2008 American Control Conference, ACC

Y2 - 11 June 2008 through 13 June 2008

ER -

Adaptive neural control of SISO non-affine nonlinear time-delay systems with unknown hysteresis input

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