非線形 H^∞ 問題とシステムの受動化の関係 [in Japanese] Relation Hetween H^∞ Problem and Passivity Problem in Nonlinear Control Systems [in Japanese]
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In this research, the relation between passive systems and finite gain systems are considered, and in the view point of this the equivalence between solving nonlinear <i>H</i><sup>∞</sup> problems and finding the feedback which renders a nonlinear system passive is shown. First the state space representation of Cayley-transform (<i>H</i>-<i>I</i>) (<i>H</i>+<i>I</i>)<sup>-1</sup> of a nonlinear operator <i>H</i> and that of its inverse transformation are proposed. Next Cayley-transform is extended to the case of general control systems.
- Transactions of the Society of Instrument and Control Engineers
Transactions of the Society of Instrument and Control Engineers 31(6), 728-735, 1995-06
The Society of Instrument and Control Engineers