Output regulation for parameter-dependent LFT systems

In this paper, we consider an important problem, output regulation, for linear fractional transformation (LFT) systems. This problem is mainly concerned about perfect tracking and/or rejection of persistent signals produced by some external generator. We present a necessary and sufficient solvability condition in terms of two linear matrix equations. Our result is consistent with the existing output regulation conditions for LTI and nonlinear systems. Based on the analysis condition, the synthesis problems, of both full information and output feedback controllers was solved. An example was used to demonstrate the proposed output regulation approach