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

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 1 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 1 controllers with integral action. Connections with the so-called Hamiltonian approach are also established.

Special issue dedicated to Biswa Nath Datta on the occasion of his 70th birthday

“…In , the mixed sensitivity minimization problem is revisited for a class of single‐input–single‐output unstable infinite dimensional plants with low order weights. The design of H ∞ controllers with integral action is considered, and connections with the Hamiltonian approach are established.…”