关键词: 数控系统, 速度规划, 凸优化, 时间最优

Abstract: Aiming at the feed-rate planning problem in CNC high-speed high-precision machining,a time-optimal feed-rate planning method with the constraints of velocity,viscous friction,torque and contour error was researched.A complete feed-rate planning model including contour error constraint and speed smoothing factor was established and was converted into a static optimal model through parameterization method.To improve the algorithm efficiency for this static optimization problem,the non-convex object function and constraints were transformed into convex optimization through reformulation,which could obtain global optimal solution in polynomial solving time.Simulation results demonstrated the effectiveness of the proposed approach.The computation time and impact of speed smoothing factor was also analyzed.

Key words: computer numerical control, feed-rate planning, convex optimization, time-optimal