TY - GEN
T1 - General transformation for block diagonalization of multi time-scale singularly perturbed linear systems
AU - Prljaca, N.
AU - Gajic, Z.
PY - 2007
Y1 - 2007
N2 - In this paper a general transformation for blockdiagonalization (decoupling) of multi time-scale singularly perturbed linear systems composed of N subsystems is introduced. The resulting decoupling is consistent to subsystem time-scales and produces N completely independent subsystems. The block-diagonalization transformation matrix is obtained by successive solutions of reduced-order nonsquare, nonsymmetric, algebraic Riccati equations. The nonsquare, nonsymmetric, algebraic Riccati equations can be efficiently solved by the Newton iterative method.
AB - In this paper a general transformation for blockdiagonalization (decoupling) of multi time-scale singularly perturbed linear systems composed of N subsystems is introduced. The resulting decoupling is consistent to subsystem time-scales and produces N completely independent subsystems. The block-diagonalization transformation matrix is obtained by successive solutions of reduced-order nonsquare, nonsymmetric, algebraic Riccati equations. The nonsquare, nonsymmetric, algebraic Riccati equations can be efficiently solved by the Newton iterative method.
UR - http://www.scopus.com/inward/record.url?scp=46449124244&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=46449124244&partnerID=8YFLogxK
U2 - 10.1109/ACC.2007.4282157
DO - 10.1109/ACC.2007.4282157
M3 - Conference contribution
AN - SCOPUS:46449124244
SN - 1424409888
SN - 9781424409884
T3 - Proceedings of the American Control Conference
SP - 1670
EP - 1675
BT - Proceedings of the 2007 American Control Conference, ACC
T2 - 2007 American Control Conference, ACC
Y2 - 9 July 2007 through 13 July 2007
ER -