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by A. Varga, Dlr Oberpfaffenhofen
IEEE Trans. Autom. Control
http://www.robotic.dlr.de/control/publications/1995/varga_ECC95p2.ps
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Abstract:
Keywords: Inner-outer factorization, system inversion, system zeros, descriptor systems, numerical methods In this paper we propose a new numerically reliable computational approach to determine the inner-outer factorization of a rational matrix G. The proposed approach is completely general being applicable whenever G is proper or not, or of full column/row rank or not. In contrast to existing "one-shot " methods which require the solution of Riccati or generalized Riccati equations, the new approach is recursive and avoids such computationally involved steps by using instead a recursive zeros dislocation state-space approach. The resulting factors have always minimal order descriptor representations. 1
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