A novel chaotic system with multi-wing attractors was proposed based on the classical Lorenz-type system and by introducing flux-controlled memristor and linear terms in one dimension. The influence of each parameter change on the system dynamic behavior is analyzed in detail by using bifurcation diagram and Lyapunov index spectrum. Single-wing, two-wing, three-wing and four-wing chaotic attractors can be produced by changing the system parameters. The partial amplitude of the system variable is realized by memristor.By introducing the linear term, the symmetry of the system is changed, and the phase is controlled. Finally, an analog circuit of the system was designed and simulated by PSpice.