Adaptive bang–bang control for the vibration control of structures under earthquakes

Abstract

SUMMARYAn adaptive method based on the modiÿed bang-bang control algorithm is proposed for the vibration control of structures subjected to unexpected severe seismic loads greater than the design loads. A hydraulic-type active mass damper was made and experiments were carried out in the laboratory using a one-story test structure and a ÿve-story test structure with the active mass damper. Through numerical simulations and experiments it was conÿrmed that the proposed method works well to suppress the vibration of structures subjected to unexpected severe seismic loads greater than the design loads without causing any unstable situations.

Improved suboptimal Bang–Bang control of aseismic buildings with variable friction dampers

“…(15). Lim et al [20] used an adaptive algorithm to the modified Bang-Bang control strategy to guarantee the stability in the structural system by changing the value of α. The adaptive modified Bang-Bang control algorithm is expressed as:…”

“…One can refer to Ref. [20] for more details about the analyses of the adaptive Bang-Bang control algorithm.…”

A Review on Adaptive Methods for Structural Control

“…The bang-bang control, which minimizes a performance index subjected to the control force constraint, has the main shortcoming of the undesirable chattering near the origin of the state space that is due to high frequency switching of the control force [112]. In order to tackle this issue, Mongkol et al [113] proposed the linear saturation (LS) control approach that consisted of a low-gain linear control when the system was close to the zero state and a bang-bang control elsewhere.…”

Fault Tolerant Vibration-Attenuation Controller Design for Uncertain Linear Structural Systems with Input Time-Delay and Saturation

“…, 6). By choosing τ = 25 ms, β 1 = 1, β 2 = 5, β 3 = 10, γ = 0.15, we solve the LMIs Eqs (8) and (9) and obtain the state feedback controller which has the following gain matrix …”

“…Therefore, research on the active vibration control of linear structural systems has received increasing attention in the recent years. Many scholars have applied themselves to the research of active vibration control strategies and many control techniques have been utilized, such as, classical H ∞ theories [1,2], Finite frequency H ∞ control [3], sliding mode control [4,5], neural networks [6], optimal control [7], bang-bang control [8,9], Semiactive -passive control [10], Semi-decentralized Control [11], mixed H 2 /H ∞ output-feedback control [12], etc., have been developed with the goal of protecting structures subjected to external disturbance excitation. Accompanied with the development of structural control strategies, some active control devices were designed for applying those control algorithms, for example, active brace system (ABS) [13,14], active mass damper (AMD) [15], etc.…”