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Non-fragile multivariable PID controller design via system augmentation

Non-fragile multivariable PID controller design via system augmentation
Non-fragile multivariable PID controller design via system augmentation
In this paper, the issue of designing non-fragile H∞ multivariable proportional-integral-derivative (PID) controllers with derivative filters is investigated. In order to obtain the controller gains, the original system is associated with an extended system such that the PID controller design can be formulated as a static output-feedback control problem. By taking the system augmentation approach, the conditions with slack matrices for solving the non-fragile H∞ multivariable PID controller gains are established. Based on the results, linear matrix inequality -based iterative algorithms are provided to compute the controller gains. Simulations are conducted to verify the effectiveness of the proposed approaches.
0020-7721
Liu, Jinrong
a3c7560a-5dd6-49c0-ab7f-5ea747c28c63
Lam, James
042275c1-e28f-476f-9bcf-245314b34424
Shen, Mouquan
6afe89b5-37e3-4f0f-921e-fd7a262ab7ad
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Liu, Jinrong
a3c7560a-5dd6-49c0-ab7f-5ea747c28c63
Lam, James
042275c1-e28f-476f-9bcf-245314b34424
Shen, Mouquan
6afe89b5-37e3-4f0f-921e-fd7a262ab7ad
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb

Liu, Jinrong, Lam, James, Shen, Mouquan and Shu, Zhan (2017) Non-fragile multivariable PID controller design via system augmentation. International Journal of Systems Science. (doi:10.1080/00207721.2017.1306145).

Record type: Article

Abstract

In this paper, the issue of designing non-fragile H∞ multivariable proportional-integral-derivative (PID) controllers with derivative filters is investigated. In order to obtain the controller gains, the original system is associated with an extended system such that the PID controller design can be formulated as a static output-feedback control problem. By taking the system augmentation approach, the conditions with slack matrices for solving the non-fragile H∞ multivariable PID controller gains are established. Based on the results, linear matrix inequality -based iterative algorithms are provided to compute the controller gains. Simulations are conducted to verify the effectiveness of the proposed approaches.

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More information

Accepted/In Press date: 9 February 2017
e-pub ahead of print date: 31 March 2017
Organisations: Mechatronics

Identifiers

Local EPrints ID: 407790
URI: http://eprints.soton.ac.uk/id/eprint/407790
ISSN: 0020-7721
PURE UUID: 0361b6b2-7ef4-4ac8-84bb-eb06390c50d6
ORCID for Zhan Shu: ORCID iD orcid.org/0000-0002-5933-254X

Catalogue record

Date deposited: 26 Apr 2017 01:08
Last modified: 16 Mar 2024 05:13

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Contributors

Author: Jinrong Liu
Author: James Lam
Author: Mouquan Shen
Author: Zhan Shu ORCID iD

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