Parametrization of nonlinear H∞ output feedback controllers - an algebraic approach via bounded real lemma

Ciann Dong Yang; Chien Chung Kung; Kuang Yi Huang; Fang Bo Yeh

Parametrization of nonlinear H_∞ output feedback controllers - an algebraic approach via bounded real lemma

Ciann Dong Yang, Chien Chung Kung, Kuang Yi Huang, Fang Bo Yeh

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

This paper exploits the bounded real lemma to find the H_∞ controllers of input-affine nonlinear systems. It is shown that the central solution and the parametrization of a class of nonlinear H_∞ controllers can be obtained at one stroke by repeatedly using bounded real lemma four times. The proposed approach involving only fundamental algebraic manipulations hopefully provides a simpler framework for finding the nonlinear H_∞ controllers from the view point of dissipative system.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Editors	Anon
Pages	2355-3592
Number of pages	1238
Publication status	Published - 1996 Dec 1
Event	Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4) - Kobe, Jpn Duration: 1996 Dec 11 → 1996 Dec 13

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	3
ISSN (Print)	0191-2216

Other

Other	Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)
City	Kobe, Jpn
Period	96-12-11 → 96-12-13

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

Cite this

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title = "Parametrization of nonlinear H∞ output feedback controllers - an algebraic approach via bounded real lemma",

abstract = "This paper exploits the bounded real lemma to find the H∞ controllers of input-affine nonlinear systems. It is shown that the central solution and the parametrization of a class of nonlinear H∞ controllers can be obtained at one stroke by repeatedly using bounded real lemma four times. The proposed approach involving only fundamental algebraic manipulations hopefully provides a simpler framework for finding the nonlinear H∞ controllers from the view point of dissipative system.",

author = "Yang, {Ciann Dong} and Kung, {Chien Chung} and Huang, {Kuang Yi} and Yeh, {Fang Bo}",

year = "1996",

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Yang, CD, Kung, CC, Huang, KY & Yeh, FB 1996, Parametrization of nonlinear H_∞ output feedback controllers - an algebraic approach via bounded real lemma. in Anon (ed.), Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, vol. 3, pp. 2355-3592, Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4), Kobe, Jpn, 96-12-11.

Parametrization of nonlinear H_∞ output feedback controllers - an algebraic approach via bounded real lemma. / Yang, Ciann Dong; Kung, Chien Chung; Huang, Kuang Yi et al.
Proceedings of the IEEE Conference on Decision and Control. ed. / Anon. 1996. p. 2355-3592 (Proceedings of the IEEE Conference on Decision and Control; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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