Abstract

Nonlinear /spl Hscr//sub /spl infin// control for a class of two-block interconnected systems is investigated. The situation where the regular nonlinear /spl Hscr//sub /spl infin// suboptimal control problem is solvable for one of the blocks is considered. An auxiliary nonlinear system is defined from the original two-block system, and it is shown that a feedback solution to the nonlinear /spl Hscr//sub /spl infin// suboptimal control problem for this auxiliary system, also applies to the nonlinear /spl Hscr//sub /spl infin// suboptimal control problem for the original two-block system. The advantage of the auxiliary problem over the original problem is that the auxiliary penalty variable has lower dimension than the original penalty variable.

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