Actuators · 2025 · 13 citations · 31 references
EngineeringRobotics EngineeringMotor ControlPower ElectronicsProcess ControlControl SystemsControl TheoryElectric Motor DrivesSpeed ControlSynchronous MachinesFractional-order ControlGlobal StabilityLyapunov StabilityLyapunov Stability TheoryOvershootPermanent Magnet Synchronous MachinesPermanent Magnet Synchronous MotorsSliding Mode Control
A variable fractional-order (VFO) fuzzy sliding mode controller is designed to control the speed of a permanent magnet synchronous motor (PMSM). First, a VFO sliding mode surface is established. Then, a VFO fuzzy sliding mode controller is designed, capable of suppressing the effects of parameter uncertainties and disturbances to achieve precise PMSM speed control. The global stability and finite time convergence of the controlled system state are demonstrated using Lyapunov stability theory. The numerical and experimental results validate the effectiveness of the controller, showing better immunity to disturbances and a smaller overshoot compared to PID and fixed-order fuzzy sliding mode controllers.
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The Grünwald–Letnikov method for fractional differential equations
Rudolf Scherer, S. L. Kalla, Yifa Tang et al. · Computers & Mathematics with Applications · 2011 · 462 citations
Practical tracking control of linear motor via fractional-order sliding mode
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Éva Kaslik, Seenith Sivasundaram · Nonlinear Analysis Real World Applications · 2011 · 175 citations · Full text