Multi-wing hyperchaotic systems with hidden attractors are recognized having advantages in certain aspects of complexity and unpredictability. However, for the hyperchaotic system with a single stable equilibrium point, the generated hidden attractor cannot be characterized by the local characteristic of the equilibrium point, which makes the generation of multi-wing hidden hyperchaotic attractors with only one stable equilibrium be a challenging work. In this brief, we present a systematic approach to generating multi-wing hidden hyperchaotic attractors from four-dimensional system with a single stable equilibrium, which is carried out by employing sawtooth wave to implement linear offset switch of the wings. Details of the numerical computation and experimental examination are presented to support the feasibility of the approach.