非線形 H^∞ 問題とシステムの受動化の関係 Relation Hetween H^∞ Problem and Passivity Problem in Nonlinear Control Systems
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.
計測自動制御学会論文集 31(6), 728-735, 1995-06
The Society of Instrument and Control Engineers