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

Wydział Automatyki, Elektroniki i Informatyki (RAU)

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

1 Cytowanie z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Tytuł publikacji goszczącej	2016 American Control Conference, ACC 2016
Wydawca	Institute of Electrical and Electronics Engineers Inc.
Strony	6024-6029
Liczba stron	6
ISBN (elektroniczny)	9781467386821
Identyfikatory DOI	https://doi.org/10.1109/ACC.2016.7526615
Status publikacji	Opublikowano - 28 lip 2016
Wydarzenie	2016 American Control Conference, ACC 2016 - Boston, Stany Zjednoczone Czas trwania: 6 lip 2016 → 8 lip 2016

Seria publikacji

Nazwa	Proceedings of the American Control Conference
Tom	2016-July
ISSN (drukowany)	0743-1619

Konferencja

Konferencja	2016 American Control Conference, ACC 2016
Kraj/Terytorium	Stany Zjednoczone
Miejscowość	Boston
Okres	6/07/16 → 8/07/16

Obszary tematyczne ASJC Scopus

Inżynieria elektryczna i elektroniczna

Uzyskaj dostęp do dokumentu

10.1109/ACC.2016.7526615

Inne pliki i linki

Link do publikacji w Scopus

Cytowanie

@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. w 2016 American Control Conference, ACC 2016., 7526615, Proceedings of the American Control Conference, tom 2016-July, Institute of Electrical and Electronics Engineers Inc., str. 6024-6029, 2016 American Control Conference, ACC 2016, Boston, Stany Zjednoczone, 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. str. 6024-6029 7526615 (Proceedings of the American Control Conference; Tom 2016-July).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

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

Abstrakt

Seria publikacji

Konferencja

Obszary tematyczne ASJC Scopus

Uzyskaj dostęp do dokumentu

Inne pliki i linki

Fingerprint

Cytowanie