{"id":155,"date":"2016-10-01T21:00:56","date_gmt":"2016-10-01T19:00:56","guid":{"rendered":"https:\/\/project.inria.fr\/rarl2\/?page_id=155"},"modified":"2016-10-07T16:53:34","modified_gmt":"2016-10-07T14:53:34","slug":"model-reduction","status":"publish","type":"page","link":"https:\/\/project.inria.fr\/rarl2\/use\/model-reduction\/","title":{"rendered":"Model reduction"},"content":{"rendered":"

The function RARL2.m can be used to reduce the 2-input, 12-states, 2-output model ofan automobile gas turbine studied in many references:
\nY.S. Hung and A.G.J. MacFarlane<\/b>, Multivariable feedback: a quasi-classical approach<\/i>, Lect. Notes in Control Sci. 40, Springer-Verlag (1982).
\nK. Glover<\/b>, All optimal Hankel-norm approximations of linear multivariable systems and their error bounds<\/i>, Int. J. Control 39, 1115-1193 (1984).
\nW.-Y. Yan and J. Lam<\/b>, An approximate approach to H2 optimal model reduction<\/i>, IEEE Trans. Autom. Control 44, No.7, 1341-1358 (1999).<\/p>\n

The results are shown on the Nyquist diagrams of the discrete-time associated system (in blue). According to the theory, a very good approximant is obtained at order 8.<\/p>\n\n\n\n\n
\n\"glover2\"<\/a>\n<\/td>\n\n\"glover4\"<\/a>\n<\/td>\n<\/tr>\n
\n\"glover6\"<\/a>\n<\/td>\n\n\"glover8\"<\/a>\n<\/td>\n<\/tr>\n<\/table>\n<\/tbody>\n","protected":false},"excerpt":{"rendered":"

The function RARL2.m can be used to reduce the 2-input, 12-states, 2-output model ofan automobile gas turbine studied in many references: Y.S. Hung and A.G.J. MacFarlane, Multivariable feedback: a quasi-classical approach, Lect. Notes in Control Sci. 40, Springer-Verlag (1982). K. Glover, All optimal Hankel-norm approximations of linear multivariable systems and\u2026<\/p>\n

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