TY - GEN
T1 - Homogeneity of differential inclusions
AU - Levant, Arie
N1 - Publisher Copyright:
© 2015 EUCA.
PY - 2015/11/16
Y1 - 2015/11/16
N2 - Homogeneity theory of differential equations is naturally extended to differential inclusions (DI). Stabilization accuracy of disturbed finite-time stable DIs is directly determined by the coordinate weights. The developed theory is applied to sliding-mode (SM) control. SMs are used to control uncertain dynamic systems by establishing and exactly keeping properly chosen connections between the system coordinates. The corresponding control and observation problems are usually reducible to finite-time stabilization of controlled DIs. Universal homogeneous SM controllers, asymptotically optimal robust exact differentiators and universal homogeneous output-feedback black-box controllers are constructed. The control can be made as smooth as needed, and dangerous vibrations (i.e. high energy 'chattering') can be effectively removed. Computer simulation demonstrates the applicability of the results.
AB - Homogeneity theory of differential equations is naturally extended to differential inclusions (DI). Stabilization accuracy of disturbed finite-time stable DIs is directly determined by the coordinate weights. The developed theory is applied to sliding-mode (SM) control. SMs are used to control uncertain dynamic systems by establishing and exactly keeping properly chosen connections between the system coordinates. The corresponding control and observation problems are usually reducible to finite-time stabilization of controlled DIs. Universal homogeneous SM controllers, asymptotically optimal robust exact differentiators and universal homogeneous output-feedback black-box controllers are constructed. The control can be made as smooth as needed, and dangerous vibrations (i.e. high energy 'chattering') can be effectively removed. Computer simulation demonstrates the applicability of the results.
UR - http://www.scopus.com/inward/record.url?scp=84963865397&partnerID=8YFLogxK
U2 - 10.1109/ECC.2015.7330907
DO - 10.1109/ECC.2015.7330907
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AN - SCOPUS:84963865397
T3 - 2015 European Control Conference, ECC 2015
SP - 2458
EP - 2463
BT - 2015 European Control Conference, ECC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 15 July 2015 through 17 July 2015
ER -