TY - GEN
T1 - On factorization of the nonlinear drift term for SDRE approach
AU - Liang, Yew-Wen
AU - Lin, Li Gang
PY - 2011/1/1
Y1 - 2011/1/1
N2 - This study presents necessary and sufficient conditions for the existence of a constant matrix A that satisfies Ax = f, (A,B) is stabilizable and (A,C) is observable (resp., detectable), where x and f are two constant vectors with x ≠ 0, while B and C are two constant matrices with approximate dimension. The conditions presented are very easy to check and a set of such feasible matrices A are also provided explicitly when the existence conditions are satisfied. In practical applications, this study may cooperate with the state-dependent Riccati equation (SDRE) implementation at those states where the SDRE scheme fails to operate, yet the presented existence conditions hold there.
AB - This study presents necessary and sufficient conditions for the existence of a constant matrix A that satisfies Ax = f, (A,B) is stabilizable and (A,C) is observable (resp., detectable), where x and f are two constant vectors with x ≠ 0, while B and C are two constant matrices with approximate dimension. The conditions presented are very easy to check and a set of such feasible matrices A are also provided explicitly when the existence conditions are satisfied. In practical applications, this study may cooperate with the state-dependent Riccati equation (SDRE) implementation at those states where the SDRE scheme fails to operate, yet the presented existence conditions hold there.
KW - Drift term
KW - Nonlinear control system
KW - State dependent Riccati equation
UR - http://www.scopus.com/inward/record.url?scp=84866745387&partnerID=8YFLogxK
U2 - 10.3182/20110828-6-IT-1002.00808
DO - 10.3182/20110828-6-IT-1002.00808
M3 - Conference contribution
AN - SCOPUS:84866745387
SN - 9783902661937
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 9607
EP - 9612
BT - Proceedings of the 18th IFAC World Congress
PB - IFAC Secretariat
ER -