Standard

Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion. / Lipkovich, Mikhail.

In: IEEE Control Systems Letters, Vol. 6, 2022, p. 2353-2358.

Research output: Contribution to journal › Article › peer-review

Harvard

Lipkovich, M 2022, 'Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion', IEEE Control Systems Letters, vol. 6, pp. 2353-2358. https://doi.org/10.1109/lcsys.2022.3153454

APA

Lipkovich, M. (2022). Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion. IEEE Control Systems Letters, 6, 2353-2358. https://doi.org/10.1109/lcsys.2022.3153454

Vancouver

Lipkovich M. Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion. IEEE Control Systems Letters. 2022;6:2353-2358. https://doi.org/10.1109/lcsys.2022.3153454

Author

Lipkovich, Mikhail. / Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion. In: IEEE Control Systems Letters. 2022 ; Vol. 6. pp. 2353-2358.

BibTeX

@article{22e8a344ebe945b5b7fc3ec8cb60edef,
title = "Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion",
abstract = "In this letter a new solution for adaptive absolute stabilization problem for SISO systems based on the circle criterion and on a new version of passification with respect to given input and output is proposed. It is shown that the proposed conditions are not only sufficient but also necessary for the existence of a Lyapunov function of the type 'quadratic form of state plus quadratic form of parametric errors' which means that these stabilization conditions cannot be improved in the considered class of Lyapunov functions. The proposed results are illustrated by synchronization of two Chua's circuits. In addition to the simple case where control and nonlinearity are located in the first equation, the complex case where control is located in the second equation is also considered. Based on the new passification result a difficult problem of adaptive stabilization with non-matched nonlinearities is solved. ",
keywords = "Adaptive control, Lyapunov methods, stability of nonlinear systems, LINEAR-SYSTEMS, Uncertainty, Symmetric matrices, PASSIFICATION, LYAPUNOV FUNCTIONS, Stability criteria, STABILITY, Rendering (computer graphics), Nonlinear systems",
author = "Mikhail Lipkovich",
note = "M. Lipkovich, {"}Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion,{"} in IEEE Control Systems Letters, vol. 6, pp. 2353-2358, 2022, doi: 10.1109/LCSYS.2022.3153454.",
year = "2022",
doi = "10.1109/lcsys.2022.3153454",
language = "English",
volume = "6",
pages = "2353--2358",
journal = "IEEE Control Systems Letters",
issn = "2475-1456",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

RIS

TY - JOUR

T1 - Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion

AU - Lipkovich, Mikhail

N1 - M. Lipkovich, "Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion," in IEEE Control Systems Letters, vol. 6, pp. 2353-2358, 2022, doi: 10.1109/LCSYS.2022.3153454.

PY - 2022

Y1 - 2022

N2 - In this letter a new solution for adaptive absolute stabilization problem for SISO systems based on the circle criterion and on a new version of passification with respect to given input and output is proposed. It is shown that the proposed conditions are not only sufficient but also necessary for the existence of a Lyapunov function of the type 'quadratic form of state plus quadratic form of parametric errors' which means that these stabilization conditions cannot be improved in the considered class of Lyapunov functions. The proposed results are illustrated by synchronization of two Chua's circuits. In addition to the simple case where control and nonlinearity are located in the first equation, the complex case where control is located in the second equation is also considered. Based on the new passification result a difficult problem of adaptive stabilization with non-matched nonlinearities is solved.

AB - In this letter a new solution for adaptive absolute stabilization problem for SISO systems based on the circle criterion and on a new version of passification with respect to given input and output is proposed. It is shown that the proposed conditions are not only sufficient but also necessary for the existence of a Lyapunov function of the type 'quadratic form of state plus quadratic form of parametric errors' which means that these stabilization conditions cannot be improved in the considered class of Lyapunov functions. The proposed results are illustrated by synchronization of two Chua's circuits. In addition to the simple case where control and nonlinearity are located in the first equation, the complex case where control is located in the second equation is also considered. Based on the new passification result a difficult problem of adaptive stabilization with non-matched nonlinearities is solved.

KW - Adaptive control

KW - Lyapunov methods

KW - stability of nonlinear systems

KW - LINEAR-SYSTEMS

KW - Uncertainty

KW - Symmetric matrices

KW - PASSIFICATION

KW - LYAPUNOV FUNCTIONS

KW - Stability criteria

KW - STABILITY

KW - Rendering (computer graphics)

KW - Nonlinear systems

UR - http://www.scopus.com/inward/record.url?scp=85125349838&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3cf1a5c6-9d61-347c-afdb-63412eb7c488/

U2 - 10.1109/lcsys.2022.3153454

DO - 10.1109/lcsys.2022.3153454

M3 - Article

AN - SCOPUS:85125349838

VL - 6

SP - 2353

EP - 2358

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

SN - 2475-1456

ER -

ID: 94301778