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/sub /spl infin//-control problem for the disturbance feedforward case.
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机译：对于在状态空间方程中仿射的稳定系统，解决了将给定的非线性状态空间系统表示为无损系统和稳定的最小相位系统（内外分解）的级联的问题。输入。该解以某个汉密尔顿-雅各比方程的稳定解给出。获得稳定的最小相位因子作为相关的非线性频谱分解问题的解决方案。作为一种应用，对于干扰前馈情况，可以解决非线性H / sub / spl infin //-控制问题。
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