Using the Relative Degree, high gain and saturation constraints to the controller design

Ryszard Gessing

doi:10.1109/ACC.2016.7526615

Using the Relative Degree, high gain and saturation constraints to the controller design

Ryszard Gessing

Faculty of Automatic Control, Electronics And Computer Science (RAU)

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

1 Citation (Scopus)

Abstract

It is shown that the linear systems, with the relative degree of the open loop dynamics equal to one and the plants with minimum phase zeros [5], are stable for very high gain (k → ∞) of the proportional controller. It is also shown that entering the saturation nonlinearity to these systems, which cuts the high peaks of the control, does not change their essential properties. Basing on that, the Criterion of the Relative Degree One (RD1) is formulated. In the examples containing the results of simulations, the Criterion RD1 is used for designing the systems with the plants: linear, nonlinear and with time varying parameters. It is noted that the designed systems are insensitive to the large and fast parameter changes.

Original language	English
Title of host publication	2016 American Control Conference, ACC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6024-6029
Number of pages	6
ISBN (Electronic)	9781467386821
DOIs	https://doi.org/10.1109/ACC.2016.7526615
Publication status	Published - 28 Jul 2016
Event	2016 American Control Conference, ACC 2016 - Boston, United States Duration: 6 Jul 2016 → 8 Jul 2016

Publication series

Name	Proceedings of the American Control Conference
Volume	2016-July
ISSN (Print)	0743-1619

Conference

Conference	2016 American Control Conference, ACC 2016
Country/Territory	United States
City	Boston
Period	6/07/16 → 8/07/16

Keywords

Criterion RD1
High gain control
Insensitivity to parameter changes
Saturation nonlinearity

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2016.7526615

Cite this

@inproceedings{60a8f9cf8db747b3978bb4de3259f5ed,

title = "Using the Relative Degree, high gain and saturation constraints to the controller design",

abstract = "It is shown that the linear systems, with the relative degree of the open loop dynamics equal to one and the plants with minimum phase zeros [5], are stable for very high gain (k → ∞) of the proportional controller. It is also shown that entering the saturation nonlinearity to these systems, which cuts the high peaks of the control, does not change their essential properties. Basing on that, the Criterion of the Relative Degree One (RD1) is formulated. In the examples containing the results of simulations, the Criterion RD1 is used for designing the systems with the plants: linear, nonlinear and with time varying parameters. It is noted that the designed systems are insensitive to the large and fast parameter changes.",

keywords = "Criterion RD1, High gain control, Insensitivity to parameter changes, Saturation nonlinearity",

author = "Ryszard Gessing",

note = "Publisher Copyright: {\textcopyright} 2016 American Automatic Control Council (AACC).; 2016 American Control Conference, ACC 2016 ; Conference date: 06-07-2016 Through 08-07-2016",

year = "2016",

month = jul,

day = "28",

doi = "10.1109/ACC.2016.7526615",

language = "English",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "6024--6029",

booktitle = "2016 American Control Conference, ACC 2016",

address = "United States",

}

Gessing, R 2016, Using the Relative Degree, high gain and saturation constraints to the controller design. in 2016 American Control Conference, ACC 2016., 7526615, Proceedings of the American Control Conference, vol. 2016-July, Institute of Electrical and Electronics Engineers Inc., pp. 6024-6029, 2016 American Control Conference, ACC 2016, Boston, United States, 6/07/16. https://doi.org/10.1109/ACC.2016.7526615

Using the Relative Degree, high gain and saturation constraints to the controller design. / Gessing, Ryszard.
2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 6024-6029 7526615 (Proceedings of the American Control Conference; Vol. 2016-July).

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

TY - GEN

T1 - Using the Relative Degree, high gain and saturation constraints to the controller design

AU - Gessing, Ryszard

PY - 2016/7/28

Y1 - 2016/7/28

N2 - It is shown that the linear systems, with the relative degree of the open loop dynamics equal to one and the plants with minimum phase zeros [5], are stable for very high gain (k → ∞) of the proportional controller. It is also shown that entering the saturation nonlinearity to these systems, which cuts the high peaks of the control, does not change their essential properties. Basing on that, the Criterion of the Relative Degree One (RD1) is formulated. In the examples containing the results of simulations, the Criterion RD1 is used for designing the systems with the plants: linear, nonlinear and with time varying parameters. It is noted that the designed systems are insensitive to the large and fast parameter changes.

AB - It is shown that the linear systems, with the relative degree of the open loop dynamics equal to one and the plants with minimum phase zeros [5], are stable for very high gain (k → ∞) of the proportional controller. It is also shown that entering the saturation nonlinearity to these systems, which cuts the high peaks of the control, does not change their essential properties. Basing on that, the Criterion of the Relative Degree One (RD1) is formulated. In the examples containing the results of simulations, the Criterion RD1 is used for designing the systems with the plants: linear, nonlinear and with time varying parameters. It is noted that the designed systems are insensitive to the large and fast parameter changes.

KW - Criterion RD1

KW - High gain control

KW - Insensitivity to parameter changes

KW - Saturation nonlinearity

UR - https://www.scopus.com/pages/publications/84992036322

U2 - 10.1109/ACC.2016.7526615

DO - 10.1109/ACC.2016.7526615

M3 - Conference contribution

AN - SCOPUS:84992036322

T3 - Proceedings of the American Control Conference

SP - 6024

EP - 6029

BT - 2016 American Control Conference, ACC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 American Control Conference, ACC 2016

Y2 - 6 July 2016 through 8 July 2016

ER -

Using the Relative Degree, high gain and saturation constraints to the controller design

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this