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The problem of expressing a given nonlinear state-space system as the cascade connection of a lossless system and a stable, minimum-phase system (inner-outer factorization) is solved for the case of a stable system having state-space equations affine in the inputs. The solution is given in terms of the stabilizing solution of a certain Hamilton-Jacobi equation. The stable, minimum-phase factor is obtained as the solution of an associated nonlinear spectral factorization problem. As an application, one can arrive at the solution of the nonlinear H∞-control problem for the disturbance feedforward case
Published in:
Automatic Control, IEEE Transactions on
(Volume:41
,
Issue:
3
)
Date of Publication: Mar 1996
- Page(s):
- 379 - 392
- ISSN :
- 0018-9286
- INSPEC Accession Number:
- 5239396
- Digital Object Identifier :
- 10.1109/9.486639
- Product Type:
- Journals & Magazines
- Date of Current Version :
- 06 August 2002
- Issue Date :
- Mar 1996
- Sponsored by :
- IEEE Control Systems Society
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