Fractional Order Sliding Mode Control for Nano-positioning of Piezoelectric Actuator

Li, Zicheng; Zhang, Sai; Wang, Hou-Neng; Ruan, Mengxiong

doi:10.1109/ccdc.2019.8833024

Cited by 4 publications

(5 citation statements)

References 20 publications

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“…The proposed FOSMC policy can minimize the susceptible, acute infected, and chronical infected subpopulations as the major goal of the control policy. In terms of convergence performance, the improvement of time response of the FOSMC approach over the SMC approach concurs with the studies carried out by the study [38][39][40][41][42][43]. The control input of our proposed FOSMC and SMC corresponding to the measures are presented in Figure 2.…”

Section: Simulation Resultssupporting

confidence: 84%

“…To overcome the disadvantage, fractional order sliding mode control (FOSMC) is proposed as one of the enhanced versions of the SMC method. In the FOSMC, the improvement in terms of chattering reduction [37] and fast response [38][39][40][41][42][43], is achievable through the concept of fractional order calculus [44]. With these advantages, the FOSMC was utilized in several applications such as aerospace [45][46][47][48], missile guidance [49][50][51], automotive [52][53], robotic [40,[54][55][56][57], energy, and power systems [58][59][60][61].…”

Section: Introductionmentioning

confidence: 99%

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Fractional Order Sliding Mode Controller for HBV Epidemic System

Boonyaprapasorn¹,

Kuntanapreeda²,

Ngaimsunthorn³

et al. 2022

MMEP

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The Hepatitis-B (HBV) epidemic's dynamic can be presented as a compartment model. Determining the HBV epidemic control strategy can be considered a nonlinear feedback control problem. The sliding mode controller (SMC) is an effective feedback control method for controlling the dynamical system under disturbances. Recently, the SMC based on fractional order calculus can provide preferable characteristics for a control system such as robustness and convergence rate. In this study, the HBV epidemic system's control policy is proposed using the fractional order sliding mode controller (FOSMC). The control policy with multiple measures including vaccination, isolation, and treatment is formulated to manipulate the susceptible and the infected subpopulations to the desired level. The Lyapunov-based approach is proven for stability analysis. The control policy is applied to the simulation example to verify the feasibility of the proposed FOSMC method. The simulation results are compared with those of the integer order SMC. By the proposed method, the results reveal that the susceptible and infected subpopulations are driven to the desired levels under disturbances with a higher convergence rate compared to that of the integer one. Moreover, the proposed FOSMC method can reduce the chattering occurrence which is the primary drawback of the SMC method.

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Section: Simulation Resultssupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Fractional Order Sliding Mode Controller for HBV Epidemic System

Boonyaprapasorn¹,

Kuntanapreeda²,

Ngaimsunthorn³

et al. 2022

MMEP

View full text Add to dashboard Cite

show abstract

“…Usually, a compensation block is before an actuator in the system flow diagram as the hysteresis is caused by driven components or actuators. According to Li et al, a fractional-order sliding mode controller can enhance the tracking performance of nano-positioning in a closed system utilizing a piezoelectric actuator [17]. Likewise, Yu et al presented a closed-control approach to attain better dynamic performance for the piezoelectric actuator [18].…”

Section: Introductionmentioning

confidence: 99%

Model-based compensation of a concave nonlinear hysteresis in the electro-hydraulic pisition servo system

Sang,

Liao,

Guo

et al. 2024

Meas. Sci. Technol.

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Nonlinearity exerts a profound influence on the displacement performance of actuators within electro-hydraulic servo systems, particularly in the context of hysteresis. This article analyses a specific hysteresis responsible for control instability, a consequence of the concave-hysteresis loop, giving rise to a notable peak phenomenon in displacement. The behavior of the concave-hysteresis loop is studied in the step load experiment of a triaxial apparatus. Subsequently, an accurately formulated mathematical model utilizing a mathematical function is derived. Notably, the article introduces an efficacious model-based compensation algorithm that integrates nonlinear iteration and fuzzy control. This strategic approach effectively addresses the issue associated with calculating the inverse model when the sensor is located in a nonlinear, hook-shaped domain. Simulation and experimentation verified the concave-hysteresis loop model and the compensation algorithm. The experiment demonstrated the elimination of peak phenomena and a decrease in sensor error from 3.7 mm to below 0.5 mm.

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“…Piezoelectric ceramics, as a new type of smart material, has the advantages of piezoelectric effect, high sensitivity, wide frequency range, fast response, high temperature resistance, and tunability (Yao et al, 2019), which makes piezoelectric ceramics have unique advantages in the field of vibration control. Li et al (2023) proposed a composite control method to improve the positioning accuracy of piezoelectric ceramic actuators with respect to the hysteresis nonlinear characteristic in piezoelectric ceramic actuators. Padoin et al (2015) and others used a linear quadratic regulator (LQR)--based control strategy aimed at optimizing the installation location of piezoelectric actuators in laminated composite structures to maximize their structural vibration control.…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical simulation analysis of the dynamic characteristics of a new piezoelectric friction damper

Dai,

Zhao,

Wang

et al. 2024

Lat. Am. j. solids struct.

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Based on the inverse piezoelectric effect and other characteristics of piezoelectric ceramics, a new type of piezoelectric variable friction damper is developed, and the output performance test of piezoelectric ceramic actuator and piezoelectric variable friction damper is carried out, and the parametric mechanical model of the damper is established by using Simulink to carry out numerical simulation, and compared and analyzed with the test results. The results of the study show that the simulation and the test present a good regular agreement. With the increment of loading voltage, the displacement deformation and zero-displacement thrust of piezoelectric ceramic actuator are approximately linear with the loading voltage; when the loading voltage is increased by 15V every time, the test value of the output damping force of the damper increases by 259.66N on average step by step, and the simulated value increases by 256.14N step by step, and the damping force has a linearly incremental relationship with the voltage and the slope of the linear increase is 16.434.

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Fractional Order Sliding Mode Control for Nano-positioning of Piezoelectric Actuator

Cited by 4 publications

References 20 publications

Fractional Order Sliding Mode Controller for HBV Epidemic System

Fractional Order Sliding Mode Controller for HBV Epidemic System

Model-based compensation of a concave nonlinear hysteresis in the electro-hydraulic pisition servo system

Experimental and numerical simulation analysis of the dynamic characteristics of a new piezoelectric friction damper

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