Sequential design of multi-overlapping controllers for longitudinal multi-overlapping systems

Abstract

In this paper a strategy to design multi-overlapping controllers for systems with longitudinal multi-overlapping structure is presented. The design process uses the inclusion principle to carry out a multi-step expansion that allows the decentralized design of a sequence of expanded local controllers. These expanded local controllers are subsequently contracted to produce a multi-overlapping controller that can be implemented in the original system. To illustrate the proposed methodology, the response of a four-story building under a seismic excitation is considered.

emi-decentralized Strategies in Structural Vibration Control

“…The interest of the multistep approach lies in its balanced combination of theoretical simplicity and computational efficiency: from a theoretical point of view, only the basic theory of two overlapping subsystems is required; from a computational perspective, the same basic procedure is repeatedly used, and part of the computations might be processed in parallel. A detailed study of the design of multi-overlapping controllers for longitudinal multioverlapping systems following the multi-step approach may be found in Palacios-Quiñonero et al (2010).…”

A Mathematical Framework for Structural Control Integration

“…3). A detailed study of the design of multi-overlapping controllers for longitudinal multi-overlapping systems following the multi-step approach can be found in [15].…”

“…To improve the robustness of the communications, we suppose that the controllers operate using only local information supplied by neighboring sensors. Consequently, a decentralized control is required for a realistic treatment of wireless networked control systems [12,13,14] and an overlapping approach may be specially convenient [15,16].…”

Sequential design of multioverlapping controllers for structural vibration control of tall buildings under seismic excitation

“…18 These ideas have also been successfully applied to design semidecentralized overlapping and multioverlapping controllers for structural vibration control of buildings under seismic excitation. 19,20 The studies and simulations, however, have only been actually conducted on small buildings. It is also worth highlighting that multioverlapping controllers can be especially suitable for wireless implementations of the communications system since it is possible for them to operate under a reduced transmission range, while, in contrast, a full-building transmission range would be required for a wireless implementation of a centralized controller.…”