Induced ℒ∞ Output Feedback Control for Continuous-Time Systems

This brief is concerned with the induced
$\mathcal {L}_{\infty }$
output feedback control problem for continuous-time systems. And the main task is to design a desired controller such that the closed-loop system is asymptotically stable and satisfies the given induced
$\mathcal {L}_{\infty }$
performance index. An induced
$\mathcal {L}_{\infty }$
performance analysis criterion is proposed for the considered system via the descriptor representation approach. Then, sufficient condition for the induced
$\mathcal {L}_{\infty }$
controller is expressed in the form of the linear matrix inequality (LMI). Finally, an integrating circuit is used to explain the effectiveness and feasibility for the given induced
$\mathcal {L}_{\infty }$
controller design strategy.