Modal predictive control of structures. II: Implementation

This paper is continuation of a companion paper in which a numerical assessment about the efficiency and the robustness of predictive control of structures was performed on single-degree-of-freedom systems. In this paper a formulation for predictive control of multi-degrees-of-freedom systems using a reduced number of sensors and actuators is presented. Control law is formulated, into an independent modal space control approach, for controlling individually some modes and the values of the parameters defining the control algorithm are chosen according to the recommendations derived in the companion paper. The efficiency and the stability of the control action are numerically assessed on a full-size six-story experimental building placed in Tokyo and subject to horizontal unidimensional seismic excitation. Three control cases have been considered using one, two, and three sensors and actuators, respectively. Presented results allow one to conclude that the proposed strategy seems to be able to generate stable and efficient control actions for active aseismic protection of building structures.