Successive approximation algorithm for H∞ dynamic compensation

This paper demonstrates the usefulness of the static state feedback H_∞ successive approximation algorithm in H_∞ dynamic compensator design cases. Unlike most commonly used algorithms in H_∞ compensator design, the method reported uses two recursive gain-updating schemes to obtain the H _∞ controller and avoids solving the two coupled game Riccati equations and some of the associated numeric issues entirely. Instead, only two H_∞ norm calculation problems of given transfer matrices need to be solved at each step