Nonlinear disturbance decoupling and linearization: a partial interpretation of integral feedback

H.J.C. Huijberts; H. Nijmeijer; A.C. Ruiz

doi:10.1109/CDC.1993.325883

Nonlinear disturbance decoupling and linearization: a partial interpretation of integral feedback

H.J.C. Huijberts, H. Nijmeijer, A.C. Ruiz

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

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Abstract

The relation between the solvability of the disturbance decoupling problem for a nonlinear system and its linearization around a working point is investigated. It turns out that generically the solvability of the disturbance decoupling via regular dynamic state feedback is preserved under linearization. This result gives a partial interpretation of introducing integral action in classical PID-control applied to nonlinear systems. The theory is illustrated by means of a worked example.

Original language	English
Title of host publication	Proceedings of the 32nd IEEE Conference on Decision and Control
Subtitle of host publication	December 15-17, 1993, Marriott Rivercenter, San Antonio, Texas, USA
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	3566-3571
Number of pages	6
ISBN (Print)	9780780312982
DOIs	https://doi.org/10.1109/CDC.1993.325883
Publication status	Published - 13 Jan 1993
Event	32nd IEEE Conference on Decision and Control, CDC 1993 - San Antonio, United States Duration: 15 Dec 1993 → 17 Dec 1993 Conference number: 32

Publication series

Name	Proceedings IEEE Conference on Decision and Control (CDC)
Publisher	IEEE
Volume	1993
ISSN (Print)	0191-2216

Conference

Conference	32nd IEEE Conference on Decision and Control, CDC 1993
Abbreviated title	CDC
Country	United States
City	San Antonio
Period	15/12/93 → 17/12/93

Access to Document

10.1109/CDC.1993.325883

Huijberts1993nonlinear
open
Final published version, 548 KB

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Huijberts, H. J. C., Nijmeijer, H., & Ruiz, A. C. (1993). Nonlinear disturbance decoupling and linearization: a partial interpretation of integral feedback. In Proceedings of the 32nd IEEE Conference on Decision and Control: December 15-17, 1993, Marriott Rivercenter, San Antonio, Texas, USA (pp. 3566-3571). (Proceedings IEEE Conference on Decision and Control (CDC); Vol. 1993). IEEE. https://doi.org/10.1109/CDC.1993.325883

Huijberts, H.J.C. ; Nijmeijer, H. ; Ruiz, A.C. / Nonlinear disturbance decoupling and linearization: a partial interpretation of integral feedback. Proceedings of the 32nd IEEE Conference on Decision and Control: December 15-17, 1993, Marriott Rivercenter, San Antonio, Texas, USA. Piscataway, NJ, USA : IEEE, 1993. pp. 3566-3571 (Proceedings IEEE Conference on Decision and Control (CDC)).

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abstract = "The relation between the solvability of the disturbance decoupling problem for a nonlinear system and its linearization around a working point is investigated. It turns out that generically the solvability of the disturbance decoupling via regular dynamic state feedback is preserved under linearization. This result gives a partial interpretation of introducing integral action in classical PID-control applied to nonlinear systems. The theory is illustrated by means of a worked example.",

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Huijberts, HJC, Nijmeijer, H & Ruiz, AC 1993, Nonlinear disturbance decoupling and linearization: a partial interpretation of integral feedback. in Proceedings of the 32nd IEEE Conference on Decision and Control: December 15-17, 1993, Marriott Rivercenter, San Antonio, Texas, USA. Proceedings IEEE Conference on Decision and Control (CDC), vol. 1993, IEEE, Piscataway, NJ, USA, pp. 3566-3571, 32nd IEEE Conference on Decision and Control, CDC 1993, San Antonio, United States, 15/12/93. https://doi.org/10.1109/CDC.1993.325883

Nonlinear disturbance decoupling and linearization: a partial interpretation of integral feedback. / Huijberts, H.J.C.; Nijmeijer, H.; Ruiz, A.C.

Proceedings of the 32nd IEEE Conference on Decision and Control: December 15-17, 1993, Marriott Rivercenter, San Antonio, Texas, USA. Piscataway, NJ, USA : IEEE, 1993. p. 3566-3571 (Proceedings IEEE Conference on Decision and Control (CDC); Vol. 1993).

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

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AB - The relation between the solvability of the disturbance decoupling problem for a nonlinear system and its linearization around a working point is investigated. It turns out that generically the solvability of the disturbance decoupling via regular dynamic state feedback is preserved under linearization. This result gives a partial interpretation of introducing integral action in classical PID-control applied to nonlinear systems. The theory is illustrated by means of a worked example.

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Huijberts HJC, Nijmeijer H, Ruiz AC. Nonlinear disturbance decoupling and linearization: a partial interpretation of integral feedback. In Proceedings of the 32nd IEEE Conference on Decision and Control: December 15-17, 1993, Marriott Rivercenter, San Antonio, Texas, USA. Piscataway, NJ, USA: IEEE. 1993. p. 3566-3571. (Proceedings IEEE Conference on Decision and Control (CDC)). https://doi.org/10.1109/CDC.1993.325883