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A Hamiltonian-based solution to the two-block H∞ problem for general plants in H∞ and rational weights

✍ Scribed by Kentaro Hirata; Yutaka Yamamoto; Allen R. Tannenbaum

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
172 KB
Volume
40
Category
Article
ISSN
0167-6911

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✦ Synopsis

A complete skew-Toeplitz-type solution to the two-block H ∞ problem for inÿnite-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.

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