Bilinear transformation and generalized singular perturbation model reduction

B. Clapperton, F. Crusca, M. Aldeen
1996 IEEE Transactions on Automatic Control  
A new general bilinear relationship is found between continuous and discrete generalized singular perturbation (GSP) reduced-order models. This result is applied to the problem of deriving discrete analogs of continuous singular perturbation and direct truncation model reduction and leads to a new definition of discrete "Nyquist" model reduction. Also, "unit circle" bilinear transformations are used to relate several known facts about continuous and discrete balanced model reduction and incorporate them into a symmetrical, unified framework.
doi:10.1109/9.489281 fatcat:4k6yzy2hrjholbzbvymzurgdty