Reduced-order Robust Multivariable Control of a Double-beam Cantilever Structure

Abstract

Vibration control of a two-dimensional smart structure is presented. The least squares identification technique and a novel pole identification method are used to obtain accurate plant models. Comparable accuracy is achieved with a significantly lower model order using the latter method. A multivariable multi—input multi—output (MIMO) generalized minimum variance control scheme is used to address robustness issues of plant mismodeling, unmodeled modes/dynamics and control signal saturation. The controllers are tested for robustness to spillover problems. Results are further supported with the use of sensitivity response functions.

Seismic fragility assessment of low-rise reinforced concrete frame: A comparative study of bare and infill model

“…The nonlinearity is lumped at six integration points per elements. A wide range of numerical integration options are available in OpenSees to represent distribute plasticity in force-based beam-column elements (Scott, 2007). Gauss-Lobatto type of integration was used in our case in nonlinear beam column element.…”

“…This is a most common type of integration scheme adopted for force-based element (Neuenhofer & Filippou, 1997). Gauss Lobatto type integration assigns integration points at the ends of an element section as well where the bending moments are maximum (Scott, 2007). In addition to the material nonlinearity, geometric nonlinearity (P-Δ effect) has not been considered in the analysis.…”