Robust Guaranteed Cost Control of PMSM Chaotic System with Uncertain Parameters

Tang, Chuansheng; Bai, Li; Zhang, Gang; Yang, Jie; Li, Tao

doi:10.25103/jestr.133.20

Cited by 1 publication

(3 citation statements)

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“…In Table (1), which is presented for quantitative comparison of these two control methods, it can be observed by calculating the average sum of absolute errors that the state regulation errors are somewhat close to each other, but there is a significant difference in the rate of change of state regulation errors, indicating the advantage and value of the proposed fractional-order sliding mode control method. The fractional-order BLDC system with uncertainties and external disturbances is represented by equation (32): Where ∆𝑔(𝑥 1 , 𝑥 2 , 𝑥 3 ) refers to parameter uncertainties and 𝑑(𝑡) refers to external disturbances, and we aim to observe the behavior and resistance of the system in response to these changes by applying them as inputs to the system.…”

Section: Comparison Of the Designed Fractional-order Sliding Mode Con...mentioning

confidence: 99%

“…However, due to the square wave shape of the current and the commutation action between the phases, they have a certain amount of ripple torque, which can affect their performance. This article examines various methods that have been developed to reduce torque ripple in these motors [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

“…Unlike conventional DC motors, a brush is not needed for commutation in BLDC motors, which is instead done by electronic devices. These motors can have one or two poles, and the inverter plays the role of commutator during operation [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

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Improving the Performance of the Chaotic Nonlinear System of the Fractional-Order Brushless Direct Current Electric Motor by Using Fractional-Order Sliding Mode Control

Kaveh

Vahedi

Gandomkar

2023

Preprint

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Chaos is a dynamic phenomenon that occurs over time in discrete and continuous nonlinear systems for some parameters, and chaotic systems are very sensitive to initial conditions. Controlling a chaotic system means eliminating its chaotic behavior and bringing the system to its origin equilibrium point or another desirable point. Moreover, as most natural systems have fractional dynamics, there is a clear need to study fractional systems. Nowadays, Brushless Direct Current (BLDC) electric motors are widely used as actuator components in many industries. Controlling these nonlinear and multivariable systems is of great importance. Additionally, these systems are often accompanied by parameter uncertainties and external disturbances, which may lead to undesirable and even unstable system behavior. In this research, a three-state-variable chaotic model is presented, and with the help of fractional-order sliding mode control strategy, the performance of the system is improved and controlled compared to conventional sliding mode control. It can be seen that the resistance of the fractional-order BLDC system with fractional-order sliding mode control is significantly higher than that of the conventional BLDC system with conventional sliding mode control against parameter uncertainties and external disturbances. Finally, the controller's performance is evaluated using MATLAB software.

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Section: Comparison Of the Designed Fractional-order Sliding Mode Con...mentioning

confidence: 99%