SISO controller design to minimize a positive combination of the \(l_ 1\) and the \({\mathcal H}_ 2\) norms
The authors study the problem of minimizing a linear combination of the \( l_1\) and the \({\mathcal H}_2\) norms of the closed-loop transfer function for discrete-time SISO feedback systems. The consideration is based on the Lagrange duality theory techniques. The existence and the properties of the optimal solution are studied for the representation of the primal problem as the one of the finite-dimensional convex optimization theory.
scientific article; zbMATH DE number 1017016