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 -