@article{wu_jaramillo_2003, title={Computationally efficient algorithm for frequency-weighted optimal H-infinity model reduction}, volume={5}, DOI={10.1111/j.1934-6093.2003.tb00126.x}, abstractNote={In this paper, a frequency-weighted optimal Hâˆž model reduction problem for linear time-invariant (LTI) systems is considered. The objective of this class of model reduction problems is to minimize Hâˆž norm of the frequency-weighted truncation error between a given LTI system and its lower order approximation. A necessary and sufficient solvability condition is derived in terms of LMIs with one extra coupling rank constraint, which generally leads to a non-convex feasibility problem. Moreover, it has been shown that the reduced-order model is stable when both stable input and output weights are included, and its state-space data are given explicitly by the solution of the feasibility problem. An efficient model reduction scheme based on cone complementarity algorithm (CCA) is proposed to solve the non-convex conditions involving rank constraint.}, number={3}, journal={Asian Journal of Control}, author={Wu, F. and Jaramillo, J. J.}, year={2003}, pages={341â€“349} }