6 . 245 : MULTIVARIABLE CONTROL SYSTEMS by A . Megretski Hankel Optimal Model Order Reduction
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چکیده
9.1.1 The Optimization Setup Let G = G(s) be a matrix-valued function bounded on the jθ-axis. The task of Hankel ˆ optimal model reduction of G calls for finding a stable LTI system G of order less than a given positive integer m, such that the Hankel norm ∞�∞H of the difference � = G − Ĝ is minimal. Remember that Hankel norm of an LTI system with transfer matrix � = �(s), input w, and output v, is defined as the L2 gain of the associated Hankel operator H�, i.e. as the maximum of the “future output energy integral”
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