Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems

Ahmet Çağrı Arıcan; Engin Hasan Çopur; Gokhan Inalhan; Metin U. Salamci

doi:10.1109/ICSTCC59206.2023.10308470

Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems

Ahmet Çağrı Arıcan
, Engin Hasan Çopur
, Gokhan Inalhan
, Metin U. Salamci

Gazi University
Necmettin Erbakan University
Cranfield University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

Özet

In this paper, a new approach is introduced which combines Eigenvalue Assignment, State Dependent Riccati Equation (SDRE) and Sliding Mode Control (SMC) methods for nonlinear systems. In the classical SDRE based SMC (SDRE-SMC) approach, a nonlinear system is frozen at each time instant to obtain a linear-like structure model that is used to design a sliding surface (SS) at each time instant. This mechanism produces a state-dependent SS to hold the states on the SS. The approach proposed here is built on this mechanism and offers a new way to design a state-dependent SS for nonlinear systems so that the pointwise eigenvalues of the closed-loop system matrix of the control-free dynamics in the regular form can be kept in a specified disk. This gives a great advantage to shape the transient response characteristics. The performance of the nonlinear controller approach proposed here is investigated in simulations.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings
Editörler	Radu-Emil Precup
Yayınlayan	Institute of Electrical and Electronics Engineers Inc.
Sayfalar	251-256
Sayfa sayısı	6
ISBN (Elektronik)	9798350337983
DOI'lar	https://doi.org/10.1109/ICSTCC59206.2023.10308470
Yayın durumu	Yayınlandı - 2023
Harici olarak yayınlandı	Evet
Etkinlik	27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Timisoara, Romania Süre: 11 Eki 2023 → 13 Eki 2023

Yayın serisi

Adı	2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	27th International Conference on System Theory, Control and Computing, ICSTCC 2023
Ülke/Bölge	Romania
Şehir	Timisoara
Periyot	11/10/23 → 13/10/23

Bibliyografik not

Publisher Copyright:
© 2023 IEEE.

Belgeye Erişim

10.1109/ICSTCC59206.2023.10308470

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Arıcan, A. Ç., Çopur, E. H., Inalhan, G., & Salamci, M. U. (2023). Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems. In R.-E. Precup (Ed.), 2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings (pp. 251-256). (2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSTCC59206.2023.10308470

Arıcan, Ahmet Çağrı ; Çopur, Engin Hasan ; Inalhan, Gokhan et al. / Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems. 2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings. editör / Radu-Emil Precup. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 251-256 (2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings).

@inproceedings{51c069650a724fcba44feba900e1658d,

title = "Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems",

abstract = "In this paper, a new approach is introduced which combines Eigenvalue Assignment, State Dependent Riccati Equation (SDRE) and Sliding Mode Control (SMC) methods for nonlinear systems. In the classical SDRE based SMC (SDRE-SMC) approach, a nonlinear system is frozen at each time instant to obtain a linear-like structure model that is used to design a sliding surface (SS) at each time instant. This mechanism produces a state-dependent SS to hold the states on the SS. The approach proposed here is built on this mechanism and offers a new way to design a state-dependent SS for nonlinear systems so that the pointwise eigenvalues of the closed-loop system matrix of the control-free dynamics in the regular form can be kept in a specified disk. This gives a great advantage to shape the transient response characteristics. The performance of the nonlinear controller approach proposed here is investigated in simulations.",

keywords = "eigenvalue assignment, nonlinear systems, sliding mode control, sliding surface design",

author = "Arıcan, \{Ahmet {\c C}ağrı\} and {\c C}opur, \{Engin Hasan\} and Gokhan Inalhan and Salamci, \{Metin U.\}",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 ; Conference date: 11-10-2023 Through 13-10-2023",

year = "2023",

doi = "10.1109/ICSTCC59206.2023.10308470",

language = "English",

series = "2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings",

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

pages = "251--256",

editor = "Radu-Emil Precup",

booktitle = "2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings",

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Arıcan, AÇ, Çopur, EH, Inalhan, G & Salamci, MU 2023, Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems. in R-E Precup (ed.), 2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings. 2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 251-256, 27th International Conference on System Theory, Control and Computing, ICSTCC 2023, Timisoara, Romania, 11/10/23. https://doi.org/10.1109/ICSTCC59206.2023.10308470

Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems. / Arıcan, Ahmet Çağrı; Çopur, Engin Hasan; Inalhan, Gokhan et al.
2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings. ed. / Radu-Emil Precup. Institute of Electrical and Electronics Engineers Inc., 2023. p. 251-256 (2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems

AU - Arıcan, Ahmet Çağrı

AU - Çopur, Engin Hasan

AU - Inalhan, Gokhan

AU - Salamci, Metin U.

PY - 2023

Y1 - 2023

N2 - In this paper, a new approach is introduced which combines Eigenvalue Assignment, State Dependent Riccati Equation (SDRE) and Sliding Mode Control (SMC) methods for nonlinear systems. In the classical SDRE based SMC (SDRE-SMC) approach, a nonlinear system is frozen at each time instant to obtain a linear-like structure model that is used to design a sliding surface (SS) at each time instant. This mechanism produces a state-dependent SS to hold the states on the SS. The approach proposed here is built on this mechanism and offers a new way to design a state-dependent SS for nonlinear systems so that the pointwise eigenvalues of the closed-loop system matrix of the control-free dynamics in the regular form can be kept in a specified disk. This gives a great advantage to shape the transient response characteristics. The performance of the nonlinear controller approach proposed here is investigated in simulations.

AB - In this paper, a new approach is introduced which combines Eigenvalue Assignment, State Dependent Riccati Equation (SDRE) and Sliding Mode Control (SMC) methods for nonlinear systems. In the classical SDRE based SMC (SDRE-SMC) approach, a nonlinear system is frozen at each time instant to obtain a linear-like structure model that is used to design a sliding surface (SS) at each time instant. This mechanism produces a state-dependent SS to hold the states on the SS. The approach proposed here is built on this mechanism and offers a new way to design a state-dependent SS for nonlinear systems so that the pointwise eigenvalues of the closed-loop system matrix of the control-free dynamics in the regular form can be kept in a specified disk. This gives a great advantage to shape the transient response characteristics. The performance of the nonlinear controller approach proposed here is investigated in simulations.

KW - eigenvalue assignment

KW - nonlinear systems

KW - sliding mode control

KW - sliding surface design

UR - https://www.scopus.com/pages/publications/85179522192

U2 - 10.1109/ICSTCC59206.2023.10308470

DO - 10.1109/ICSTCC59206.2023.10308470

M3 - Conference contribution

AN - SCOPUS:85179522192

T3 - 2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings

SP - 251

EP - 256

BT - 2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings

A2 - Precup, Radu-Emil

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 27th International Conference on System Theory, Control and Computing, ICSTCC 2023

Y2 - 11 October 2023 through 13 October 2023

ER -

Arıcan AÇ, Çopur EH, Inalhan G, Salamci MU. Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems. In Precup RE, editör, 2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2023. p. 251-256. (2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings). doi: 10.1109/ICSTCC59206.2023.10308470

Sliding Surface Optimization via Regional Pole Placement for a Class of Nonlinear Systems

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Belgeye Erişim

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