Direct state-space solution to the discrete-timeH∞ one-block problem |
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Authors: | Kavranoglu D Bettayeb M |
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Affiliation: | King Fahd Univ. of Pet. & Miner., Dhahran; |
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Abstract: | A general state-space representation is used to allow a complete formulation of the H∞ optimization problem without any invertibility condition on the system matrix, unlike existing solutions. A straightforward approach is used to solve the one-block H∞ optimization problem. The parameterization of all solutions to the discrete-time H∞ suboptimal one-block problem is first given in transfer function form in terms of a set of functions in H ∞ that satisfy a norm bound. The parameterization of all solutions is also given as a linear fractional representation |
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