Static and dynamic sliding mode control schemes for a permanent magnet stepper motor

Observer-based second order sliding mode control laws for stepper motors

“…It was shown in Sira-Ramirez (2000) and Zribi et al (2001) that the stepper motor with outputs y 1 ¼ y and y 2 ¼ i d is a flat system. A system is flat if there exist m differentially independent functions y j 's of the state (called the flat outputs) and their time derivatives such that any system variable (states and inputs) is a function of the y j 's and a finite number of their time derivatives.…”

“…Furthermore, it has been shown (see Sira-Ramirez, 2002or Zribi, Sira-Ramirez, & Ngai, 2001 for example) that the association of flatness and sliding modes leads to valuable and quite simple control schemes that achieve robust tracking of reference trajectories. In fact, the combination of sliding mode and flatness implies some input/output decoupling properties and a robust dynamical linearization.…”

“…In fact, the combination of sliding mode and flatness implies some input/output decoupling properties and a robust dynamical linearization. Zribi et al (2001) developed a first order sliding mode control law for the trajectory tracking of the stepper motor position. However, the sliding motion can be lost if some parameter variations or exogenous perturbations occur.…”

Robust High Order Sliding Mode Control of Permanent Magnet Synchronous Motors

“…Permanent magnet synchronous motors (PMSM) are receiving increased attention for electric drive applications due to their high power density, large torque to inertia ratio and high efficiency over other kinds of motors (Glumineau et al, 1993;Ziribi et al, 2001;Caravani et al, 1998). But the dynamic model of a PMSM is highly nonlinear because of the coupling between the motor speed and the electrical quantities, such as the d, q axis currents.…”

Finite-time integral sliding mode control for chaotic permanent magnet synchronous motor systems

“…The principle of the sliding mode control is to forcibly constrain the system [18,19,21], by suitable control strategy, to stay on the sliding surface on which the system will exhibit desirable features [24,26,28]. The advantages of SMC are robustness, computation speed, compact implementation, controller order reduction, disturbance rejection, and insensitivity to parameter variations.…”