State-PID Feedback for Magnetic Levitation System

2012 ◽  
Vol 622-623 ◽  
pp. 1467-1473 ◽  
Author(s):  
Witchupong Wiboonjaroen ◽  
Sarawut Sujitjorn
Keyword(s):  
Linear Model ◽  
Feedback Linearization ◽  
State Feedback ◽  
Magnetic Levitation ◽  
The State ◽  
Stabilization Control ◽  
Control Scheme ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Integral Element

In this paper we consider stabilization control of a magnetic levitation system by state-PID feedback. First, a linear model that represents the nonlinear dynamics of the magnetic levitation system is derived by the feedback linearization technique. Then, the state-PID feedback control developed from the linear model is proposed. Results are compared between the conventional state feedback technique and the proposed method. The proposed control scheme introducing an integral element to work with the gain can effectively eliminate the state errors. Simulation results show the effectiveness of the proposed method for disturbance dampening and stabilizing the system.

scholarly journals Robust Sliding Mode Control of a Magnetic Levitation System: Continuous-Time and Discrete-Time Approaches

2021 ◽  
Author(s):  
Pratik Vernekar ◽  
Vitthal Bandal
Keyword(s):  
Discrete Time ◽  
Feedback Linearization ◽  
State Feedback ◽  
Magnetic Levitation ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Mismatched Uncertainties ◽  
Levitation System ◽  
Full State Feedback ◽  
Magnetic Levitation System

This paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate reaching law. The PI-SMC is more robust than a feedback linearization controller in the presence of mismatched uncertainties and outperforms the SMC schemes reported recently in the literature in terms of the convergence rate and settling time. Next, to reduce the chattering phenomenon in the PI-SMC, a state feedback-based discrete-time SMC algorithm is developed. However, the disturbance rejection ability is compromised to some extent. Furthermore, to improve the robustness without compromising the chattering reduction benefits of the discrete-time SMC, mismatched uncertainties like sensor noise and track input disturbance are incorporated in a robust discrete-time SMC design using multirate output feedback (MROF). With this technique, it is possible to realize the effect of a full-state feedback controller without incurring the complexity of a dynamic controller or an additional discrete-time observer. Also, the MROF-based discrete-time SMC strategy can stabilize the magnetic levitation system with excellent dynamic and steady-state performance with superior robustness in the presence of mismatched uncertainties. The stability of the closed-loop system under the proposed controllers is proved by using the Lyapunov stability theory. The simulation results and analytical comparisons demonstrate the effectiveness and robustness of the proposed control schemes.

scholarly journals Design of an adaptive state feedback controller for a magnetic levitation system

2020 ◽  
Vol 10 (5) ◽  
pp. 4782
Author(s):  
Omar Waleed Abdulwahhab
Keyword(s):  
Equilibrium Point ◽  
State Feedback ◽  
Magnetic Levitation ◽  
The State ◽  
Feedback Controller ◽  
Pole Placement ◽  
Operating Point ◽  
State Feedback Controller ◽  
Levitation System ◽  
Magnetic Levitation System

This paper presents designing an adaptive state feedback controller (ASFC) for a magnetic levitation system (MLS), which is an unstable system and has high nonlinearity and represents a challenging control problem. First, a nonadaptive state feedback controller (SFC) is designed by linearization about a selected equilibrium point and designing a SFC by pole-placement method to achieve maximum overshoot of 1.5% and settling time of 1s (5% criterion). When the operating point changes, the designed controller can no longer achieve the design specifications, since it is designed based on a linearization about a different operating point. This gives rise to utilizing the adaptive control scheme to parameterize the state feedback controller in terms of the operating point. The results of the simulation show that the operating point has significant effect on the performance of nonadaptive SFC, and this performance may degrade as the operating point deviates from the equilibrium point, while the ASFC achieves the required design specification for any operating point and outperforms the state feedback controller from this point of view.

scholarly journals Robust Sliding Mode Control of a Magnetic Levitation System: Continuous-Time and Discrete-Time Approaches

2021 ◽  
Author(s):  
Pratik Vernekar
Keyword(s):  
Discrete Time ◽  
Feedback Linearization ◽  
State Feedback ◽  
Magnetic Levitation ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Mismatched Uncertainties ◽  
Levitation System ◽  
Full State Feedback ◽  
Magnetic Levitation System

Abstract This paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate reaching law. The PI-SMC is more robust than a feedback linearization controller in the presence of mismatched uncertainties and outperforms the SMC schemes reported recently in the literature in terms of the convergence rate and settling time. Next, to reduce the chattering phenomenon in the PI-SMC, a state feedback-based discrete-time SMC algorithm is developed. However, the disturbance rejection ability is compromised to some extent. Furthermore, to improve the robustness without compromising the chattering reduction benefits of the discrete-time SMC, mismatched uncertainties like sensor noise and track input disturbance are incorporated in a robust discrete-time SMC design using multirate output feedback (MROF). With this technique, it is possible to realize the effect of a full-state feedback controller without incurring the complexity of a dynamic controller or an additional discrete-time observer. Also, the MROF-based discrete-time SMC strategy can stabilize the magnetic levitation system with excellent dynamic and steady-state performance with superior robustness in the presence of mismatched uncertainties. The stability of the closed-loop system under the proposed controllers is proved by using the Lyapunov stability theory. The simulation results and analytical comparisons demonstrate the effectiveness and robustness of the proposed control schemes.

scholarly journals Robust Sliding Mode Control of a Magnetic Levitation System: Continuous-Time and Discrete-Time Approaches

2021 ◽  
Author(s):  
Pratik Vernekar ◽  
Vitthal Bandal
Keyword(s):  
Discrete Time ◽  
Feedback Linearization ◽  
State Feedback ◽  
Magnetic Levitation ◽  
Sliding Mode ◽  
Lyapunov Stability Theory ◽  
Mismatched Uncertainties ◽  
Levitation System ◽  
Full State Feedback ◽  
Magnetic Levitation System

This paper presents three types of sliding mode controllers for a magnetic levitation system. First, a proportional-integral sliding mode controller (PI-SMC) is designed using a new switching surface and a proportional plus power rate reaching law. The PI-SMC is more robust than a feedback linearization controller in the presence of mismatched uncertainties and outperforms the SMC schemes reported recently in the literature in terms of the convergence rate and settling time. Next, to reduce the chattering phenomenon in the PI-SMC, a state feedback-based discrete-time SMC algorithm is developed. However, the disturbance rejection ability is compromised to some extent. Furthermore, to improve the robustness without compromising the chattering reduction benefits of the discrete-time SMC, mismatched uncertainties like sensor noise and track input disturbance are incorporated in a robust discrete-time SMC design using multirate output feedback (MROF). With this technique, it is possible to realize the effect of a full-state feedback controller without incurring the complexity of a dynamic controller or an additional discrete-time observer. Also, the MROF-based discrete-time SMC strategy can stabilize the magnetic levitation system with excellent dynamic and steady-state performance with superior robustness in the presence of mismatched uncertainties. The stability of the closed-loop system under the proposed controllers is proved by using the Lyapunov stability theory. The simulation results and analytical comparisons demonstrate the effectiveness and robustness of the proposed control schemes.

scholarly journals Semi-Active Magnetic Levitation System for Education

2021 ◽  
Vol 11 (12) ◽  
pp. 5330
Author(s):  
Gisela Pujol-Vázquez ◽  
Alessandro N. Vargas ◽  
Saleh Mobayen ◽  
Leonardo Acho
Keyword(s):  
Pid Control ◽  
Magnetic Levitation ◽  
Low Cost ◽  
Control Scheme ◽  
Hands On ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
And Control ◽  
Active Control Strategy ◽  
Cost Components

This paper describes how to construct a low-cost magnetic levitation system (MagLev). The MagLev has been intensively used in engineering education, allowing instructors and students to learn through hands-on experiences of essential concepts, such as electronics, electromagnetism, and control systems. Built from scratch, the MagLev depends only on simple, low-cost components readily available on the market. In addition to showing how to construct the MagLev, this paper presents a semi-active control strategy that seems novel when applied to the MagLev. Experiments performed in the laboratory provide comparisons of the proposed control scheme with the classical PID control. The corresponding real-time experiments illustrate both the effectiveness of the approach and the potential of the MagLev for education.

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