Data-Driven Tuning of PID Controlled Piezoelectric Ultrasonic Motor

Makarem, Sarah; Delibas, Bülent; Koç, Burhanettin

doi:10.3390/act10070148

Cited by 25 publications

(19 citation statements)

References 20 publications

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“…A block diagram description of Equation ( 32), characterizing the FCPS in (21), is given in Figure 2. This figure shows that by collecting from the closed-loop system, shown in Figure 1, the noise corrupted output measurements y t and the control input u t , we can design the adaptive controller by solving a suitable optimization problem as will be described in the next section.…”

Section: Proofmentioning

confidence: 99%

“…In practice, however, we need to pick just a single point from the FCPS to design the controller K(ρ(t)) to be implemented in the feedback control scheme as in Figure 1. As it can be clearly seen from the set in (21), the FCPS is characterized by the unknown variation bounds |δ ρ k (t)| ≤ ∆ ρ k (t), k = 1, . .…”

Section: K(ρ(t))mentioning

confidence: 99%

“…Starting from the work presented in [18,19], a data-driven model-reference approach is presented in [20] using frequency domain data with the aim of avoiding unmodelled dynamics. In [21], a DDC approach for tuning a PID controller through iterative feedback tuning for a rotational microscope stage system is presented. A robust data-driven model predictive control is proposed in [22] for LTI systems.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Data-Driven Control for Linear Time Varying Systems

Abdalla

2021

Machines

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In this paper, we propose an adaptive data-driven control approach for linear time varying systems, affected by bounded measurement noise. The plant to be controlled is assumed to be unknown, and no information in regard to its time varying behaviour is exploited. First, using set-membership identification techniques, we formulate the controller design problem through a model-matching scheme, i.e., designing a controller such that the closed-loop behaviour matches that of a given reference model. The problem is then reformulated as to derive a controller that corresponds to the minimum variation bounding its parameters. Finally, a convex relaxation approach is proposed to solve the formulated controller design problem by means of linear programming. The effectiveness of the proposed scheme is demonstrated by means of two simulation examples.

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Section: Proofmentioning

confidence: 99%

Section: K(ρ(t))mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive Data-Driven Control for Linear Time Varying Systems

Abdalla

2021

Machines

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“…The self-tuning PID controller structure is mainly composed of four parts: the controlled object, least square recursive parameter estimation [16,17], on-line design of controller parameters and an adjustable parameter PID regulator [18,19]. The control structure is shown in Figure 4.…”

Section: Control Schemementioning

confidence: 99%

Optimization Design of Centrifugal Pump Flow Control System Based on Adaptive Control

et al. 2021

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In this paper, in order to improve the control characteristics of the centrifugal pump flow control system, a mathematical model of the centrifugal pump flow control system was established based on an analysis of the basic structures, such as the frequency converter, motor, and centrifugal pump. Based on the adaptive control theory, the recursive least squares algorithm with a forgetting factor was used to estimate the real-time parameters of the centrifugal pump control system, and the self-tuning PID control method was used to optimize the mathematical model of the centrifugal pump flow control system. The simulation results showed that the adjustment time of the optimized system was shortened by 16.58%, and the maximum overshoot was reduced by 83.90%, which improved the rapidity and stability of the transient response of the system. This showed that adaptive control had a significant effect on improving the robustness and anti-interference ability of the centrifugal pump control system. In order to further verify the accuracy of the self-tuning PID control method, a flow adaptive control system test platform was built. The test results showed that under the conditions of constant frequency and variable frequency, the actual flow rate of the centrifugal pump was always kept near the set flow rate, the error was small, and it had better real-time followability. The research results showed that adaptive control could revise the parameters in real-time according to changes to the centrifugal pump control system, which improved the stability and robustness of the system. Therefore, adaptive PID control could effectively improve the adaptability of centrifugal pumps to various complex working conditions and improve the working efficiency of centrifugal pumps.

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“…Therefore, they have been widely used in precision drive fields, such as microelectronic mechanical systems, microrobots, aerospace and biomedical engineering [1][2][3][4][5][6]. A precision micropositioner using piezoelectric components as the actuators can overcome the shortcomings of conventional positioning devices and have unique advantages in micron and sub-micron precision positioning control [6][7][8][9][10]. According to previous research results, piezoelectric actuators could include conventional piezoelectric components [11,12], piezoceramic bimorphs [13][14][15], piezoelectric stacks [16,17] and composite structures, etc.…”

Section: Introductionmentioning

confidence: 99%

Finite Element Analysis and Polarization Test of IDEs Piezoelectric Actuator

et al. 2022

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A new type of actuator is presented in the paper that integrates the IDEs into a conventional piezoelectric sheet. The electrodes and polarization play a key role in the strain. Adopting constitutive equations of piezoelectric theory and variation principles in elasticity theory, the piezoelectric component dynamic equation was deduced. Several finite element models of the IDEs piezoelectric actuator were established in ANSYS. The effect of branch electrodes on the strain of the actuator was analyzed. The results show that the strain can be bigger than that of the conventional piezoelectric sheet by decreasing the gap and increasing the width of electrodes. According to the FEM result, some IDEs piezoelectric actuators were prepared. The distribution of the static electric field inside the actuator was researched to determine the polarization voltage. The 2671 high voltage power and DU-20 temperature-controlled oil bath was applied to explore the polarization process. The effect of the voltage, time and temperature on the strain of the actuator was researched by a TF2000 and SIOS laser interferometer. The results show that the optimum polarization is 800 V, for 60 min and at 150 ℃. The strain of the IDEs piezoelectric actuator is 1.87 times that of the conventional piezoelectric actuator. The actuators could prove to be helpful applications for micro-nano devices.

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Data-Driven Tuning of PID Controlled Piezoelectric Ultrasonic Motor

Cited by 25 publications

References 20 publications

Adaptive Data-Driven Control for Linear Time Varying Systems

Adaptive Data-Driven Control for Linear Time Varying Systems

Optimization Design of Centrifugal Pump Flow Control System Based on Adaptive Control

Finite Element Analysis and Polarization Test of IDEs Piezoelectric Actuator

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