Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Adaptive Absolute Stabilization of SISO Systems Based on Circle Criterion. / Lipkovich, Mikhail.
в: IEEE Control Systems Letters, Том 6, 2022, стр. 2353-2358.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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