Numerical Second Order Sliding Manifold Current Estimator of Rotor Angle
with Lyapunov Analysis
Abstract
This paper presents the comprehensive numerical analysis of four, second
order sliding manifold control algorithms to estimate rotor
angle/position, θe, sensorlessly in brushless DC synchronous machine,
namely, twisting, super twisting, convergence law and quasi-continuous
sliding controller. The Lyapunov stability and convergence along with
trajectories in the discrete time is also analyzed for each of these
algorithms for both continuous and discontinuous controls.