H2‐based control strategies for civil engineering structures

Abstract

AbstractTwo H2‐based control strategies are proposed and their applications to civil engineering benchmark structures are presented. The first strategy deals with a class of excitations with a specified ‘energy’ bound, referred to as the H2‐based controller with energy‐bounded excitations (H2B‐EB), whereas the second strategy addresses a class of excitations with a specified peak bound, referred to as the H2‐based controller with peak‐bounded excitations (H2B‐PB). Both control strategies are derived by minimizing an upper bound of the H2 performance with the constraints (or penalties) on the peak values of another set of quantities, such as the control resources. State feedback and dynamic output feedback controllers are derived and presented. The design syntheses of these control strategies are developed and formulated within the framework of linear matrix inequalities (LMIs), so that the LMI toolbox in MATLAB can be used effectively and conveniently. These control strategies are applied to the Phase I long‐span cable‐stayed benchmark bridge subject to earthquakes and a wind‐excited 76‐storey benchmark building to illustrate their applicability to practical problems. Simulation results indicate that the performances of these proposed controllers for structural responses are better than that of the LQG sample controller. It is shown that these new control strategies are viable and effective for applications to civil engineering structures. Copyright © 2003 John Wiley & Sons, Ltd.