Second-Order Sliding Mode Control of Permanent Magnet Synchronous Motor Based on Singular Perturbation

Abstract

The second-order sliding mode control has strong robustness. Its application has greatly improved the anti-jamming ability of permanent magnet synchronous motor(PMSM) speed control systems. However, the influence of noise is unavoidable due to the introduction of a differentiator in the second-order sliding mode control, and the steady-state performance of the system is poor due to the absence of a q-axis current loop. This paper proposes a second-order sliding mode control method based on singular perturbation, which decouples the PMSM speed control system into two subsystems, the slow subsystem, including the speed variable, adopts second-order sliding mode control, and the fast subsystem, including the current variable of q-axis, adopts linear control. The design of a sliding surface for the slow subsystem avoids the application of the differentiator, which reduces the chattering better. Besides this, the steady-state performance of the system is improved due to the introduction of the feedback current of the q-axis. Experimental results show that the proposed method has strong robustness and can achieve high-precision control.

Improved performance and robustness of synchronous reluctance machine control using an advanced sliding mode and direct vector control

“…45,46 More recently, the third-order sliding mode controller (TOSMC) has been identified as an effective technique to mitigate chattering, demonstrating promising results in electric machine drives. 47 To summarize, PI and SOSMC offer straightforward and sturdy control options, yet they may fall short in addressing the nonlinear dynamics associated with SynRMs. In contrast, TOSMC methods stand out for their flexibility and quick response capabilities, although they require more computational resources.…”

“…To combat this, second‐order sliding mode controller (SOSMC) solutions have been proposed 45,46 . More recently, the third‐order sliding mode controller (TOSMC) has been identified as an effective technique to mitigate chattering, demonstrating promising results in electric machine drives 47 …”

Linear Matrix Inequality-Based Robust Model Predictive Speed Control for a Permanent Magnetic Synchronous Motor with a Disturbance Observer

“…To efficiently control such complex PMSM systems, control methods such as modified PI control [10][11][12][13][14], sliding mode control (SMC) [15][16][17][18], model predictive control (MPC) [19][20][21], and deep learning (DL)-based control [22][23][24] have been proposed. In [11][12][13][14], modified PI control-based methods were implemented.…”

“…Meanwhile, several studies have been carried out to apply sliding mode control (SMC) [15][16][17][18], a method capable of effectively regulating nonlinear systems, in PMSMs. Simple model information is required to construct the SMC method, but it is used in many fields because it shows excellent control performance against disturbances.…”

“…A hybrid SMC combining sliding-mode-and deadbeat-based predictive current control was proposed in [16], and the results show robustness to variation in load and machine parameters by an integrated high-order sliding-mode observer. In [17], a singular-perturbationbased second-order sliding-mode controller that separates the slow-speed section and high-speed section was proposed. Depending on the speed of the PMSM, it was determined whether or not to apply a differentiator, and this resulted in a chattering reduction effect.…”