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A Hamiltonian-based solution to the two-block H problem for general plants in H and rational weights |
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| Authors: | Kentaro Hirata Yutaka Yamamoto Allen R Tannenbaum |
| Affiliation: | a Department of Electrical and Electronic Systems, Graduate School of Engineering, Osaka Prefecture University, Osaka 599-8531, Japan;b Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Infomatics, Kyoto University, Kyoto 606-8501, Japan;c Department of Electrical Engineering, University of Minnesota, Minneapolis, MN 55455, USA |
| Abstract: | A complete skew-Toeplitz-type solution to the two-block H∞ problem for infinite-dimensional stable plants with rational weights is derived with a basis-free proof. The solution consists of one Riccati equation with a rank criterion for a transcendental function of a certain Hamiltonian. This gives a natural extension of the well-known formula for the one-block case. An example is given to illustrate the result. |
| Keywords: | H∞ control Skew-Toeplitz theory Two-block problem Optimal sensitivity Distributed systems |
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