Discrete-Time Multioverlapping Controller Design for Structural Vibration Control of Tall Buildings under Seismic Excitation

• Published in: Mathematical Problems in Engineering Vol. 2012; no. 2012; pp. 325 - 344-422
• Main Authors: Francisco Palacios-Quiñonero, Josep Rubió -Massegú, Josep M. Rossell, Hamid Reza Karimi
• Format: Journal Article Publication
• Language: English
• Published: Cairo, Egypt Hindawi Limiteds 01.01.2012; Hindawi Publishing Corporation; Hindawi Limited
• Subjects: 93 Systems Theory; Control; Actuation; Automàtica i control; Buildings; Classificació AMS; Communication; Communications systems; Control d'estructures (Enginyeria); Control systems design; Controllers; Disseny antisísmic; Earthquake resistant design; Edificis; Enginyeria civil; Feedback control systems; Informàtica; Materials i estructures; Mathematical models; Seismic engineering; Seismic response; Simulation models; Sistemes de control per retroacció; State feedback; Structural control (Engineering); Structural vibration; Studies; Tall buildings; Vibració; Vibration; Vibration control; Wireless communications; Àrees temàtiques de la UPC
• ISSN: 1024-123X; 1563-5147
• DOI: 10.1155/2012/636878

In this paper, a computationally effective strategy to obtain multioverlapping controllers via the Inclusion Principle is applied to design discrete-time state-feedback multioverlapping LQR controllers for seismic protection of tall buildings. To compute the corresponding control actions, the proposed semidecentralized controllers only require state information from neighboring stories. This particular configuration of information exchange allows introducing a dramatic reduction in the transmission range required for a wireless implementation of the communication system. To investigate the behavior of the proposed semidecentralized multioverlapping controllers, a proper simulation model has been designed. This model includes semiactive actuation devices with limited force capacity, control sampling times consistent with the communication latency, time-delayed state information, and communication failures. The performance of the proposed multioverlapping controllers has been assessed through numerical simulations of the seismic response of a 20-story building with positive results.