H-infinity control with bandwidth and H2 constraints

A discussion is presented of practical issues associated with H-infinity controller design based on the results presented by Doyle et al. (1989). First, the optimal H-infinity controller based on these results is discussed from a practical application point of view. Then, tradeoffs between the H-infinity norm and other performance characteristics, specifically bandwidth and the H2 norm, are considered. It is shown that when the optimal H-infinity norm is relaxed by only 10-20 percent and the central controller from Doyle et al. is used, significant benefits in both the controller bandwidth and the H2 norm of the closed-loop system can be achieved.