@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={ABSTRACT In this paper, a frequency‐weighted optimal H ∞ model reduction problem for linear time‐invariant (LTI) systems is considered. The objective of this class of model reduction problems is to minimize H ∞ 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={341–349} }