The H∞ performance group

摘要

The well-known robust control design algorithms generate only one solution that fulfils the suboptimal ${mathcal{H}_infty }$ norm criterion and thus leave no room for further controller tuning. If the controller obtained is not suitable, e.g., it is unstable or some structural properties needs to be also satisfied, then the designer has to modify the original control problem and then has to perform the entire synthesis again. This paper proposes a method for improving the ${mathcal{H}_infty }$ control synthesis.Based on the formulation of all controllers belonging to a given performance level and Lyapunov function candidate, the paper reveals the the group structure corresponding to performance problem. Based on this group structure efficient systematic algorithms can be developed for ${mathcal{H}_infty }$ controller tuning.