Control under tracking and weights: Parameterization of stabilizing controllers and H performance

This paper considers the problem of measurement output feedback H
_∞
control subject to asymptotic tracking and unsuitable output weights. Based on two Sylvester equations, a specifically structured controller is conducted, and the necessary and sufficient condition is given. By this parameterization, additional performance objective is further tackled via an LMI-based approach and a reduced-order controller synthesis is also discussed. An example is given to show the effectiveness of the current results.