Computation of H∞ controllers for infinite dimensional plants using numerical linear algebra

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Abstract

The mixed sensitivity minimization problem is revisited for a class of single-input-single-output unstable infinite dimensional plants with low order weights. It is shown that H∞ controllers can be computed from the singularity conditions of a parameterized matrix whose dimension is the same as the order of the sensitivity weight. The result is applied to the design of H∞ controllers with integral action. Connections with the so-called Hamiltonian approach are also established.

Source Title

Numerical Linear Algebra with Applications

Publisher

John Wiley & Sons

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Citation

Published Version (Please cite this version)

Language

English