Experimental verification of model-free active vibration control approach using virtually controlled object

Abstract

The purpose of this study is to develop a simple and practical controller design method without modeling controlled objects. In this technique, modeling of the controlled object is not necessary and a controller is designed with an actuator model, which includes a single-degree-of-freedom virtual structure inserted between the actuator and the controlled object. The parameters of the virtual structure are determined so that indirect active vibration suppression is effectively achieved by considering the frequency transfer function from the vibration response of the controlled object to that of the virtual structure. Since the actuator model, which includes a virtually controlled object, is a simple low-order system, a controller with high control performance can be designed by traditional model-based optimal control theory. In this research, a mixed [Formula: see text] controller is designed considering both control performance and robust stability. The effectiveness of the proposed method is validated experimentally. The robustness of the controller is demonstrated by applying the same controller to various structures.

Novel Sliding Mode Vibration Controller With Simple Model-Free Design and Compensation for Actuator’s Uncertainty

“…Therefore, in the controlled frequency band, the virtual structure must be designed to satisfy (4). In this study, the virtual structure is designed by design condition (9) proposed in a previous study [34]. The lower and upper limited frequencies of the controlled frequency band are written as 1 and…”

“…Collectively, these previous studies provide few simple and practical model-free vibration control methods with a small burden on designers. The authors proposed a vibration controller design procedure using only an actuator model and virtual structure model defined as a single-degree-of-freedom (SDOF) system to achieve this goal [33] [34]. However, an actuator has parameter uncertainty due to individual differences in production and deterioration with age due to long-term use.…”

“…1 shows the actuator employed in this study. It is a proofmass electromagnetic actuator that can be modeled as a SDOF system due to its mechanical characteristics [34].…”

Model-free vibration control based on a virtual controlled object considering actuator uncertainty

“…In this study, model-free active vibration control is achieved by inserting a virtual controlled object between the model of the actuator and the model of the actual controlled object (Yonezawa et al, 2019(Yonezawa et al, , 2020. Figure 2(a) shows the model of the actual structure.…”

“…In a previous study, an approach that could achieve this goal was suggested. Specifically, designing a controller using a model of the actuator and a model of the virtual structure represented by a single-degree-of-freedom (SDOF) system was proposed as a model-free vibration control system (Yonezawa et al, 2019(Yonezawa et al, , 2020. The model of the actuator described in that work must be accurate, including the parameter values.…”