TY - GEN
T1 - Generalized synchronization between Colpitts and Chua circuits
AU - Martinez-Guerra, Rafael
AU - Mata-Machuca, Juan L.
AU - Rodriguez-Martinez, Aurora
PY - 2013
Y1 - 2013
N2 - In this contribution, we investigate the Generalized synchronization (GS) problem when we have strictly different nonlinear systems and we consider that for both the slave and master systems only some states are available from measurements. GS in nonlinear systems appears when the states of one system, through a functional mapping are equal to states of another. This mapping can be obtained if there exist a differential primitive element which generates a differential transcendence basis. The first component of the differential transcendence basis is called differential primitive element and, in general, is defined by means of a linear combination of the known states and the control input. Furthermore, we construct a dynamical feedback controller able to achieve complete synchronization in the coordinate transformation systems and GS in the original coordinates. These particular forms of GS are illustrated with numerical results of Colpitts and Chua circuits.
AB - In this contribution, we investigate the Generalized synchronization (GS) problem when we have strictly different nonlinear systems and we consider that for both the slave and master systems only some states are available from measurements. GS in nonlinear systems appears when the states of one system, through a functional mapping are equal to states of another. This mapping can be obtained if there exist a differential primitive element which generates a differential transcendence basis. The first component of the differential transcendence basis is called differential primitive element and, in general, is defined by means of a linear combination of the known states and the control input. Furthermore, we construct a dynamical feedback controller able to achieve complete synchronization in the coordinate transformation systems and GS in the original coordinates. These particular forms of GS are illustrated with numerical results of Colpitts and Chua circuits.
UR - http://www.scopus.com/inward/record.url?scp=84893162174&partnerID=8YFLogxK
U2 - 10.1109/MWSCAS.2013.6674924
DO - 10.1109/MWSCAS.2013.6674924
M3 - Contribución a la conferencia
AN - SCOPUS:84893162174
SN - 9781479900664
T3 - Midwest Symposium on Circuits and Systems
SP - 1423
EP - 1426
BT - 2013 IEEE 56th International Midwest Symposium on Circuits and Systems, MWSCAS 2013
T2 - 2013 IEEE 56th International Midwest Symposium on Circuits and Systems, MWSCAS 2013
Y2 - 4 August 2013 through 7 August 2013
ER -