Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations

Guang Hong Yang; Jian Liang Wang

doi:10.1109/ICARCV.2002.1234810

Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations

Guang Hong Yang^*
, Jian Liang Wang

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

This paper addresses the problem of non-fragile H∞ controller design for nonlinear systems. The controller to be designed is assumed to have additive gain variations. Design method for state feedback is presented in terms of positive definite solutions to Hamilton-Jacobi inequalities. The resulting design is such that the closed-loop system is robustly stable and has an L₂ gain bound with respect to the additive controller gain variations. A numerical example is given to illustrate the proposed methods. Nonlinear systems; H∞ control; Robust control; fragility; Hamilton-Jacobi inequalities.

Original language	English
Title of host publication	Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002
Publisher	Nanyang Technological University
Pages	138-143
Number of pages	6
ISBN (Print)	9810483643, 9789810483647
DOIs	https://doi.org/10.1109/ICARCV.2002.1234810
Publication status	Published - 2002
Externally published	Yes
Event	7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002 - Marine Mandarin, Singapore Duration: 2 Dec 2002 → 5 Dec 2002

Publication series

Name	Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002
Volume	3

Conference

Conference	7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002
Country/Territory	Singapore
City	Marine Mandarin
Period	2/12/02 → 5/12/02

ASJC Scopus subject areas

General Engineering

Access to Document

10.1109/ICARCV.2002.1234810

Cite this

Yang, G. H., & Wang, J. L. (2002). Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations. In Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002 (pp. 138-143). (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002; Vol. 3). Nanyang Technological University. https://doi.org/10.1109/ICARCV.2002.1234810

Yang, Guang Hong ; Wang, Jian Liang. / Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations. Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002. Nanyang Technological University, 2002. pp. 138-143 (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002).

@inproceedings{d0fa6fce717d4579af334b05c8a1ee05,

title = "Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations",

abstract = "This paper addresses the problem of non-fragile H∞ controller design for nonlinear systems. The controller to be designed is assumed to have additive gain variations. Design method for state feedback is presented in terms of positive definite solutions to Hamilton-Jacobi inequalities. The resulting design is such that the closed-loop system is robustly stable and has an L2 gain bound with respect to the additive controller gain variations. A numerical example is given to illustrate the proposed methods. Nonlinear systems; H∞ control; Robust control; fragility; Hamilton-Jacobi inequalities.",

author = "Yang, \{Guang Hong\} and Wang, \{Jian Liang\}",

year = "2002",

doi = "10.1109/ICARCV.2002.1234810",

language = "English",

isbn = "9810483643",

series = "Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002",

publisher = "Nanyang Technological University",

pages = "138--143",

booktitle = "Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002",

address = "Singapore",

note = "7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002 ; Conference date: 02-12-2002 Through 05-12-2002",

}

Yang, GH & Wang, JL 2002, Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations. in Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002. Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002, vol. 3, Nanyang Technological University, pp. 138-143, 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002, Marine Mandarin, Singapore, 2/12/02. https://doi.org/10.1109/ICARCV.2002.1234810

Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations. / Yang, Guang Hong; Wang, Jian Liang.
Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002. Nanyang Technological University, 2002. p. 138-143 (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002; Vol. 3).

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

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AU - Yang, Guang Hong

AU - Wang, Jian Liang

PY - 2002

Y1 - 2002

N2 - This paper addresses the problem of non-fragile H∞ controller design for nonlinear systems. The controller to be designed is assumed to have additive gain variations. Design method for state feedback is presented in terms of positive definite solutions to Hamilton-Jacobi inequalities. The resulting design is such that the closed-loop system is robustly stable and has an L2 gain bound with respect to the additive controller gain variations. A numerical example is given to illustrate the proposed methods. Nonlinear systems; H∞ control; Robust control; fragility; Hamilton-Jacobi inequalities.

AB - This paper addresses the problem of non-fragile H∞ controller design for nonlinear systems. The controller to be designed is assumed to have additive gain variations. Design method for state feedback is presented in terms of positive definite solutions to Hamilton-Jacobi inequalities. The resulting design is such that the closed-loop system is robustly stable and has an L2 gain bound with respect to the additive controller gain variations. A numerical example is given to illustrate the proposed methods. Nonlinear systems; H∞ control; Robust control; fragility; Hamilton-Jacobi inequalities.

UR - https://www.scopus.com/pages/publications/0142193485

U2 - 10.1109/ICARCV.2002.1234810

DO - 10.1109/ICARCV.2002.1234810

M3 - Conference contribution

AN - SCOPUS:0142193485

SN - 9810483643

SN - 9789810483647

T3 - Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002

SP - 138

EP - 143

BT - Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002

PB - Nanyang Technological University

T2 - 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002

Y2 - 2 December 2002 through 5 December 2002

ER -

Yang GH, Wang JL. Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations. In Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002. Nanyang Technological University. 2002. p. 138-143. (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002). doi: 10.1109/ICARCV.2002.1234810

Non-fragile Nonlinear H∞ Control with Additive Controller Gain Variations

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