An Efficient Approach for Damping Parameter Design in Collocated Structural Systems Using An H2 Upper Bound

The paper presents an LMI-based approach for optimally designing the damping parameters in structural systems with collocated actuators and sensors. The proposed design methodology is based on a recently developed H² norm upper bound for collocated structural systems in [1]. Using the proof for this upper bound result, the design problem is formulated as a convex optimization problem with respect to the damping coefficients of the structural system. A numerical example motivated from an engineering application demonstrates the theoretical advantages and computational efficiency of the proposed method.