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

Abstract

In this article, a computationally effective strategy to obtain multioverlapping controllers via the inclusion principle is applied to design a state-feedback multioverlapping linear-quadratic regulator controller for a 20-story building. The proposed semidecentralized controller only requires state information of neighboring stories to compute the corresponding control actions. This particular information exchange configuration allows introducing a dramatic reduction in the transmission range required for a wireless implementation of the communications system. More specifically, just a one-story transmission range is required by the proposed multioverlapping controller, while a full-building transmission range would be necessary in a classical centralized design. From a computational point of view, the presented design strategy only involves the actual computation of a reduced set of low-dimension controllers. The numerical simulations indicate that despite the simplified low-dimension design and the severe information exchange constraints, the proposed semidecentralized multioverlapping controller achieves a surprisingly high level of seismic attenuation when compared with the centralized linear-quadratic regulator controller.

Output feedback disturbance rejection control for building structure systems subject seismic excitations

“…In this section, we will concentrate on the designing of the decentralized OFDRC problem of large-scale interconnected system (6), which mainly could be divided into steps.…”

“…Thus far, the OFDRC problem for system (1) is translated into the decentralized OFDRC problem of large-scale interconnected system (6).…”

Feasibility issues in static output-feedback controller design with application to structural vibration control

“…This kind of control systems present particularly challenging design characteristics, such as high dimensionality, severe information constraints and fast realtime operation requirements [13][14][15][16] . Clearly, static output-feedback strategies can play a major role in this scenario.…”

Optimal Design of Complex Passive-Damping Systems for Vibration Control of Large Structures: An Energy-to-Peak Approach

“…The latest trends in vibration control of large structures consider distributed actuation systems, which mitigate the vibrational response of the overall structure by means of the coordinated actuation of a large number of medium-size semiactive or passive devices [1][2][3]. In this context, decentralized and semidecentralized control strategies are especially relevant, and fully decentralized velocity-feedback controllers constitute a case of particular interest [4][5][6][7][8][9]. In addition to the typical advantages of decentralization, fully decentralized velocity-feedback controllers have the singular feature of admitting a passive implementation by means of linear dampers.…”