PI-PD Controller Design for Magnetic Levitation Systems Via Weighted Geometrical Center Method

Onat, Cem; Daskin, Mahmut; Turan, Abdullah; Özgüven, Ömerülfaruk

doi:10.46399/muhendismakina.877649

Cited by 4 publications

(1 citation statement)

References 25 publications

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“…In the literature, it has been seen that vehicle models are generally modeled as quarter models for convenience. In some studies, controllers such as H∞, and LQR have been preferred to minimize the vibrations affecting the vehicle and passenger by using the quarter vehicle model [11][12][13]. In some studies, the dynamic behavior of bridges modeled as beams without using active controllers has been investigated using a tuned mass damper [14].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Lateral and Vertical Direction Dynamic Responses of a Full Car Model Exposed to Sine Road Input

Eroğlu

2022

Sakarya University Journal of Science

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In this study, the full car model, which is exposed to a sinusoidal road input, has been examined to ensure the driving safety of the vehicles and the comfort of the passengers. In this context, the full car, including lateral and vertical movements, is modeled with fourteen degrees of freedom. The second-order equations of motion of the modeled vehicle were obtained using the Lagrangian method and reduced to first-order equations of motion using the state-space form. Then, these equations of motion were solved precisely in the time domain using the Euler method in the Matlab environment. To examine the lateral movements and the rotations of the vehicle in the pitch and roll axis, a sine wave with a wavelength of 5 m and an amplitude of 0.1 m was applied to the wheels of the vehicle. In the analysis, the right front wheel is exposed to a sinusoidal road input at t=0 s, while the left front wheel is exposed to a sinusoidal road input after the vehicle moves 2.5 m. Thus, both the pitch and roll motion of the vehicle will be examined in detail. In the study, four different vehicle masses 500 kg, 1000 kg, 2000 kg, and 3000 kg were taken into consideration and the effect of different vehicle masses on passenger and vehicle dynamic behaviors was investigated. In addition, the situation of passing vehicles at variable speeds from the given disruptive road input has also been examined. The maximum dynamic responses of the passenger and the vehicle were examined when the vehicle speed changed from 3 m/s to 50 m/s by 0.1 m/s. In the study, it has been observed that the vehicle mass and certain vehicle speed have effects on the vertical and lateral displacements and accelerations of the passenger and the vehicle

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Section: Introductionmentioning

confidence: 99%

Investigation of Lateral and Vertical Direction Dynamic Responses of a Full Car Model Exposed to Sine Road Input

Eroğlu

2022

Sakarya University Journal of Science

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A comparative study on PI-PD controller design using stability region centroid methods for unstable, integrating and resonant systems with time delay

İrgan,

Menak,

Tan

2024

Measurement and Control

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In this paper, controller tuning methods based on stability region centroid methods reported in the literature are used to design PI-PD controllers for unstable, integrating and resonant systems with time delay. By analyzing the stability boundary locus (SBL) for the PD controller, which is utilized in the inner loop of this structure, the controller parameters are obtained using three methods which are the Weighted Geometric Center (WGC), Centroid of Convex Stability Region (CCSR), and Stability Triangle Approach (STA). These techniques were applied analytically, step by step. For the closed loop transfer function obtained in the inner loop of the controlled system, these three methods were utilized to design the PI controller in the outer loop, individually. Unit step responses of the controlled system, using PI-PD gains determined by each method, have been obtained. Furthermore, a disturbance of a certain time and amplitude was added to the systems to test the disturbance rejection behavior and the robustness performance of the methods. Perturbed responses were obtained through changing the model parameters at a certain rate. Time domain performance metrics were analyzed to compare the responses. The simulations were evaluated using settling time, rise time, and percentage overshoot as the assessment criteria. As a result of this study, the effectiveness of three methods, namely WGC, CCSR, and STA, in controller design for unstable, integrating, and resonant time-delay systems has been demonstrated. In addition, a comparison of time domain performance metrics is presented for the nominal and perturbed systems. Based on these comparisons, it is concluded that the methods outperform each other only in some time response performance measures. The presented results showed the advantages of these methods over each other in terms of some performance criteria. The contribution of this study to the literature is the comparative analysis of these three analytical methods.

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Performance Comparison of PID and LQR Controllers for Control of Non-Linear Magnetic Levitation System

Karabacak

Yaşar

Sarıtaş

2023

DEUFMD

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Magnetic Levitation System (MLS) has become a current study in the field of engineering due to its advantages such as low energy consumption and minimum friction. MLSs are nonlinear unstable systems. Due to the complexity of the structure and the difficulty of the controls, many advanced control theories can be applied on these systems and the performance of the controllers can be evaluated. In this article, Proportional-Integral-Derivative (PID) and Linear-Quadratic Regulator (LQR) controller methods are applied on MLS mathematically modeled in MATLAB environment. Controller performances were compared in the results found. The results obtained on the applicability of PID and LQR control methods for MLS were evaluated. In addition, the system performance of the controllers was compared with five parameters. These are rise time, settling time, maximum overshoot, overshoot and steady-state error. LQR controller produced great stability and homogeneous response compared to PID controller.

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PI-PD Controller Design for Magnetic Levitation Systems Via Weighted Geometrical Center Method

Cited by 4 publications

References 25 publications

Investigation of Lateral and Vertical Direction Dynamic Responses of a Full Car Model Exposed to Sine Road Input

Investigation of Lateral and Vertical Direction Dynamic Responses of a Full Car Model Exposed to Sine Road Input

A comparative study on PI-PD controller design using stability region centroid methods for unstable, integrating and resonant systems with time delay

Performance Comparison of PID and LQR Controllers for Control of Non-Linear Magnetic Levitation System

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