Non-fragile Nonlinear H infin; Control with Additive Controller Gain Variations

Guang Hong Yang; Jian Liang Wang

Non-fragile Nonlinear H _infin; Control with Additive Controller Gain Variations

Guang Hong Yang, Jian Liang Wang

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 L ₂ gain bound with respect to the additive controller gain variations. A numerical example is given to illustrate the proposed methods.

Original language	English
Title of host publication	Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002
Pages	138-143
Number of pages	6
Publication status	Published - 2002
Externally published	Yes
Event	Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARC 2002 - Singapore, 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

Conference

Conference	Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARC 2002
Country/Territory	Singapore
City	Singapore
Period	2/12/02 → 5/12/02

Keywords

Fragility
H control
Hamilton-Jacobi inequalities.
Nonlinear systems
Robust control

ASJC Scopus subject areas

General Engineering

Cite this

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title = "Non-fragile Nonlinear H infin; 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 L 2 gain bound with respect to the additive controller gain variations. A numerical example is given to illustrate the proposed methods.",

keywords = "Fragility, H control, Hamilton-Jacobi inequalities., Nonlinear systems, Robust control",

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

year = "2002",

language = "English",

isbn = "9810474806",

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

pages = "138--143",

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

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

}

Yang, GH & Wang, JL 2002, Non-fragile Nonlinear H _infin; 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, pp. 138-143, Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARC 2002, Singapore, Singapore, 2/12/02.

Non-fragile Nonlinear H _infin; 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. 2002. p. 138-143 (Proceedings of the 7th International Conference on Control, Automation, Robotics and Vision, ICARCV 2002).

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

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