Design of reduced-order H∞ controller for uncertain discrete system based on observer

Jixiang Li; Junfeng Wu; Peng Wang

doi:10.1109/EMEIT.2011.6023243

Design of reduced-order H_∞ controller for uncertain discrete system based on observer

Jixiang Li, Junfeng Wu, Peng Wang

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

1 Scopus citations

Abstract

A reduced-order H_∞ controller was studied for a discrete system based on LMI. Firstly, the existent condition of a state feedback H _∞ controller was proposed for the uncertain discrete system. And a reduced-order observer was designed to make the error between the output of the controller and the output of the state feedback controller to zero based on Sylvester equations, which controls the system to satisfy the H _∞ performance by linear matrix inequality. The approach is easy to deal with the limit of Sylvester equations in designing reduce-order controller. And a numerical example shows the feasibility of the proposed design approach.

Original language	English
Title of host publication	Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011
Pages	916-919
Number of pages	4
DOIs	https://doi.org/10.1109/EMEIT.2011.6023243
State	Published - 2011
Externally published	Yes
Event	2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011 - Harbin, China Duration: 12 Aug 2011 → 14 Aug 2011

Publication series

Name	Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011
Volume	2

Conference

Conference	2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011
Country/Territory	China
City	Harbin
Period	12/08/11 → 14/08/11

Keywords

H control
discrete system
reduced-order observer
sylvester equation

Access to Document

10.1109/EMEIT.2011.6023243

Cite this

Li, J., Wu, J., & Wang, P. (2011). Design of reduced-order H_∞ controller for uncertain discrete system based on observer. In Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011 (pp. 916-919). [6023243] (Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011; Vol. 2). https://doi.org/10.1109/EMEIT.2011.6023243

Li, Jixiang ; Wu, Junfeng ; Wang, Peng. / Design of reduced-order H_∞ controller for uncertain discrete system based on observer. Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011. 2011. pp. 916-919 (Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011).

@inproceedings{18aefd0625fa444bbe1c07679cebeac8,

title = "Design of reduced-order H∞ controller for uncertain discrete system based on observer",

abstract = "A reduced-order H∞ controller was studied for a discrete system based on LMI. Firstly, the existent condition of a state feedback H ∞ controller was proposed for the uncertain discrete system. And a reduced-order observer was designed to make the error between the output of the controller and the output of the state feedback controller to zero based on Sylvester equations, which controls the system to satisfy the H ∞ performance by linear matrix inequality. The approach is easy to deal with the limit of Sylvester equations in designing reduce-order controller. And a numerical example shows the feasibility of the proposed design approach.",

keywords = "H control, discrete system, reduced-order observer, sylvester equation",

author = "Jixiang Li and Junfeng Wu and Peng Wang",

year = "2011",

doi = "10.1109/EMEIT.2011.6023243",

language = "English",

isbn = "9781612840857",

series = "Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011",

pages = "916--919",

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note = "2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011 ; Conference date: 12-08-2011 Through 14-08-2011",

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Li, J, Wu, J & Wang, P 2011, Design of reduced-order H_∞ controller for uncertain discrete system based on observer. in Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011., 6023243, Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011, vol. 2, pp. 916-919, 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011, Harbin, China, 12/08/11. https://doi.org/10.1109/EMEIT.2011.6023243

Design of reduced-order H_∞ controller for uncertain discrete system based on observer. / Li, Jixiang; Wu, Junfeng; Wang, Peng.
Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011. 2011. p. 916-919 6023243 (Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011; Vol. 2).

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

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AB - A reduced-order H∞ controller was studied for a discrete system based on LMI. Firstly, the existent condition of a state feedback H ∞ controller was proposed for the uncertain discrete system. And a reduced-order observer was designed to make the error between the output of the controller and the output of the state feedback controller to zero based on Sylvester equations, which controls the system to satisfy the H ∞ performance by linear matrix inequality. The approach is easy to deal with the limit of Sylvester equations in designing reduce-order controller. And a numerical example shows the feasibility of the proposed design approach.

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Li J, Wu J, Wang P. Design of reduced-order H_∞ controller for uncertain discrete system based on observer. In Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011. 2011. p. 916-919. 6023243. (Proceedings of 2011 International Conference on Electronic and Mechanical Engineering and Information Technology, EMEIT 2011). doi: 10.1109/EMEIT.2011.6023243