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

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. Copyright © 2012 John Wiley & Sons, Ltd.