H∞ tracking control problem for completely unknown nonlinear system based on augmented matrix

Yongfeng Lv; Xuemei Ren; Jing Na; Linwei Li

doi:10.1109/ICMIC.2017.8321621

H_∞ tracking control problem for completely unknown nonlinear system based on augmented matrix

Yongfeng Lv, Xuemei Ren, Jing Na, Linwei Li

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

1 Citation (Scopus)

Abstract

This paper addresses the H_∞ to tracking control problem for unknown nonlinear system based on the online ADP structure. We first use an identifier NN to approximate the unknown system. In order to transform the tracking problem into the regulation problem, the augmentation system is then constructed based on the identifier. Another NN is used to approximate the cost function in the HJI equation, such that H_∞ to tracking control pairs can be obtained without the solution of the HJI equation. Moreover, a novel estimation algorithm is developed to online update the NN weights simultaneously. Finally, a simulation is presented to demonstrate the validity of the proposed method.

Original language	English
Title of host publication	Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7-12
Number of pages	6
ISBN (Electronic)	9781509065738
DOIs	https://doi.org/10.1109/ICMIC.2017.8321621
Publication status	Published - 2 Jul 2017
Externally published	Yes
Event	9th International Conference on Modelling, Identification and Control, ICMIC 2017 - Kunming, China Duration: 10 Jul 2017 → 12 Jul 2017

Publication series

Name	Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017
Volume	2018-March

Conference

Conference	9th International Conference on Modelling, Identification and Control, ICMIC 2017
Country/Territory	China
City	Kunming
Period	10/07/17 → 12/07/17

Keywords

Adaptive dynamic programming (ADP)
H control
Hamilton-Jacobi-Isaacse equation (HJI)
Identifier
Nonlinear systems

Access to Document

10.1109/ICMIC.2017.8321621

Cite this

Lv, Y., Ren, X., Na, J., & Li, L. (2017). H_∞ tracking control problem for completely unknown nonlinear system based on augmented matrix. In Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017 (pp. 7-12). (Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017; Vol. 2018-March). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICMIC.2017.8321621

Lv, Yongfeng ; Ren, Xuemei ; Na, Jing et al. / H_∞ tracking control problem for completely unknown nonlinear system based on augmented matrix. Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 7-12 (Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017).

@inproceedings{cfa38a419e3a473fb26eca42ac90d76b,

title = "H∞ tracking control problem for completely unknown nonlinear system based on augmented matrix",

abstract = "This paper addresses the H∞ to tracking control problem for unknown nonlinear system based on the online ADP structure. We first use an identifier NN to approximate the unknown system. In order to transform the tracking problem into the regulation problem, the augmentation system is then constructed based on the identifier. Another NN is used to approximate the cost function in the HJI equation, such that H∞ to tracking control pairs can be obtained without the solution of the HJI equation. Moreover, a novel estimation algorithm is developed to online update the NN weights simultaneously. Finally, a simulation is presented to demonstrate the validity of the proposed method.",

keywords = "Adaptive dynamic programming (ADP), H control, Hamilton-Jacobi-Isaacse equation (HJI), Identifier, Nonlinear systems",

author = "Yongfeng Lv and Xuemei Ren and Jing Na and Linwei Li",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 9th International Conference on Modelling, Identification and Control, ICMIC 2017 ; Conference date: 10-07-2017 Through 12-07-2017",

year = "2017",

month = jul,

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doi = "10.1109/ICMIC.2017.8321621",

language = "English",

series = "Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "7--12",

booktitle = "Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017",

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Lv, Y, Ren, X, Na, J & Li, L 2017, H_∞ tracking control problem for completely unknown nonlinear system based on augmented matrix. in Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017. Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017, vol. 2018-March, Institute of Electrical and Electronics Engineers Inc., pp. 7-12, 9th International Conference on Modelling, Identification and Control, ICMIC 2017, Kunming, China, 10/07/17. https://doi.org/10.1109/ICMIC.2017.8321621

H_∞ tracking control problem for completely unknown nonlinear system based on augmented matrix. / Lv, Yongfeng; Ren, Xuemei; Na, Jing et al.
Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 7-12 (Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017; Vol. 2018-March).

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

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N2 - This paper addresses the H∞ to tracking control problem for unknown nonlinear system based on the online ADP structure. We first use an identifier NN to approximate the unknown system. In order to transform the tracking problem into the regulation problem, the augmentation system is then constructed based on the identifier. Another NN is used to approximate the cost function in the HJI equation, such that H∞ to tracking control pairs can be obtained without the solution of the HJI equation. Moreover, a novel estimation algorithm is developed to online update the NN weights simultaneously. Finally, a simulation is presented to demonstrate the validity of the proposed method.

AB - This paper addresses the H∞ to tracking control problem for unknown nonlinear system based on the online ADP structure. We first use an identifier NN to approximate the unknown system. In order to transform the tracking problem into the regulation problem, the augmentation system is then constructed based on the identifier. Another NN is used to approximate the cost function in the HJI equation, such that H∞ to tracking control pairs can be obtained without the solution of the HJI equation. Moreover, a novel estimation algorithm is developed to online update the NN weights simultaneously. Finally, a simulation is presented to demonstrate the validity of the proposed method.

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KW - H control

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BT - Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017

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Lv Y, Ren X, Na J, Li L. H_∞ tracking control problem for completely unknown nonlinear system based on augmented matrix. In Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 7-12. (Proceedings of 2017 9th International Conference On Modelling, Identification and Control, ICMIC 2017). doi: 10.1109/ICMIC.2017.8321621