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

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

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.

Original language	English
Title of host publication	2023 27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Proceedings
Editors	Radu-Emil Precup
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	251-256
Number of pages	6
ISBN (Electronic)	9798350337983
DOIs	https://doi.org/10.1109/ICSTCC59206.2023.10308470
Publication status	Published - 2023
Externally published	Yes
Event	27th International Conference on System Theory, Control and Computing, ICSTCC 2023 - Timisoara, Romania Duration: 11 Oct 2023 → 13 Oct 2023

Publication series

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

Conference

Conference	27th International Conference on System Theory, Control and Computing, ICSTCC 2023
Country/Territory	Romania
City	Timisoara
Period	11/10/23 → 13/10/23

Bibliographical note

Publisher Copyright:
© 2023 IEEE.

Keywords

eigenvalue assignment
nonlinear systems
sliding mode control
sliding surface design

Access to Document

10.1109/ICSTCC59206.2023.10308470

Cite this

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. editor / 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).

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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.",

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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",

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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).

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

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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.

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

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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, editor, 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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