Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures

Xu, Kaichen; Cheng, Tingli; Lopes, António M.; Chen, Liping; Zhu, Xiaomin; Wang, Mingwu

doi:10.3390/fractalfract6090473

Cited by 8 publications

(3 citation statements)

References 38 publications

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“…The PSO is a simple and easy-to-implement algorithm. The PSO can be generalized using fractional-order tools to yield the fractional-order PSO algorithm, which can better balance global and local searching capabilities [43]. Chaotic mapping can be used to generate evenly chaotic numbers between 0 and 1, as shown in Figure 11.…”

Section: Parameter Identification With the Cfopsomentioning

confidence: 99%

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Xu,

Chen,

Lopes

et al. 2023

Fractal Fract

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Viscoelastic (VE) dampers show good performance in dissipating energy, being widely used for reducing vibration in engineering structures caused by earthquakes and winds. Experimental studies have shown that ambient temperature has great influence on the mechanical behavior of VE dampers. Therefore, it is important to accurately model VE dampers considering the effect of temperature. In this paper, a new fractional-order Zener (AEF-Zener) model of VE dampers is proposed. Firstly, the important influence of fractional orders on the energy dissipation ability of materials is analyzed. Secondly, an equivalent AEF-Zener model is developed that incorporates the ambient temperature and fractional-order equivalence principle. Finally, the chaotic fractional-order particle swarm optimization (CFOPSO) algorithm is used to determine the model’s parameters. The accuracy of the AEF-Zener model is verified by comparing model simulations with experimental results. This study is helpful for designing and analyzing vibration reduction techniques for civil structures with VE dampers under the influence of temperature.

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Section: Parameter Identification With the Cfopsomentioning

confidence: 99%

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Xu,

Chen,

Lopes

et al. 2023

Fractal Fract

Self Cite

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“…The FOPD controller is an extension of the traditional PD controller [36,37]. By adding an adjustable fractional order, the FOPD design can be more flexible, and attain better performance [38]. The FOPD controller can perform better than classical PD.…”

Section: Introductionmentioning

confidence: 99%

Research on Active Repetitive Control for Tracking Lissajous Scan Trajectories with Voice Coil Motors Actuated Fast Steering Mirror

Wang,

Liu,

Liang

et al. 2024

Fractal Fract

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The performance of laser beams in tracking Lissajous scan trajectories is severely limited by beam jitter. To enhance the performance of fast steering mirror (FSM) control in tracking Lissajous scan trajectories, this paper proposed a fractional order active disturbance rejection controller (FOADRC) and verified its effectiveness in improving system scanning tracking accuracy. A dynamic mathematical model of a fast steering mirror was studied, and the design of parameters for the control mode of the closed-loop system was determined. A reduced-order linear active disturbance rejection controller suitable for FSM systems was designed, and the corresponding fractional-order proportional differentiation (FOPD) controller was determined according to the mathematical model. The use of the designed controller enabled high-performance tracking of high-frequency Lissajous scanning curves (X-axis 500 Hz, Y-axis 350 Hz) and met the need for high-frequency repetitive scanning. The controller has the characteristics of simple implementation and low computational complexity and is suitable for closed-loop control applications in engineering.

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“…One of the main challenges in designing MEC systems is to control the system inputs and parameters to obtain a constant hydrogen generation rate. When creating systems in real time, modeling, process control, stabilization, and simulations are crucial factors [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

A Robust Controller of a Reactor Electromicrobial System Based on a Structured Fractional Transformation for Renewable Energy

et al. 2022

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The focus on renewable energy is increasing globally to lessen reliance on conventional sources and fossil fuels. For renewable energy systems to work at their best and produce the desired results, precise feedback control is required. Microbial electrochemical cells (MEC) are a relatively new technology for renewable energy. In this study, we design and implement a model-based robust controller for a continuous MEC reactor. We compare its performance with those of traditional methods involving a proportional integral derivative (PID), H-infinity (H∞) controller and PID controller tuned by intelligent genetic algorithms. Recently, a dynamic model of a MEC continuous reactor was proposed, which describes the complex dynamics of MEC through a set of nonlinear differential equations. Until now, no model-based control approaches for MEC have been proposed. For optimal and robust output control of a continuous-reactor MEC system, we linearize the model to state a linear time-invariant (LTI) state-space representation at the nominal operating point. The LTI model is used to design four different types of controllers. The designed controllers and systems are simulated, and their performances are evaluated and compared for various operating conditions. Our findings show that a structured linear fractional transformation (LFT)-based H∞ control approach is much better than the other approaches against various performance parameters. The study provides numerous possibilities for control applications of continuous MEC reactor processes.

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Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures

Cited by 8 publications

References 38 publications

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Fractional-Order Zener Model with Temperature-Order Equivalence for Viscoelastic Dampers

Research on Active Repetitive Control for Tracking Lissajous Scan Trajectories with Voice Coil Motors Actuated Fast Steering Mirror

A Robust Controller of a Reactor Electromicrobial System Based on a Structured Fractional Transformation for Renewable Energy

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