Synthesis of optimal generalized LQG and Hankel-norm controllers

A useful application of the convolution operator norm is the problem of actuator saturation. The L/sub 2//spl rarr/L/sub /spl infin// convolution operator norm is induced by energy and peak-excursion type signal norms. If a bound is known for the energy of the disturbance, this norm can be used to bound state amplitude or actuator excursion (saturation). The objective of this paper is to develop a fixed-structure technique for synthesizing controllers that are optimal with respect to three of these norms as applied to the closed-loop system.