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J-inner-outer factorization, J-spectral factorization, and robust control for nonlinear systems

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2 Author(s)
J. A. Ball ; Dept. of Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA ; A. J. Van der Schaft

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:

IEEE Transactions on Automatic Control  (Volume:41 ,  Issue: 3 )