Damping parameter design optimization in structural systems using an explicit norm bound

This paper examines the damping parameter design optimization problem for structural systems with collocated measurements and inputs so that H ∞ norm bound constraints are satisfied. We utilize a particular solution of the Bounded Real Lemma that provides an explicit upper bound on the H ∞ norm of a collocated structural system. Using this upper bound result the damping design is formulated as a linear matrix inequality (LMI) optimization problem with respect to the damping coefficients of the structural system. The formulation is particularly useful for large-scale structural systems where existing methods are computationally prohibitive. Numerical examples demonstrate the benefits and computational advantages of the proposed damping parameter design method.