A gradient-based optimal control problem in creep-feed grinding

The research presented in this study deals with the analysis, modeling, and optimization of thermal effects in the creep-feed grinding process. Advanced grinding technology is investigated, which is defined as an extreme production process accompanied by large amounts of interface thermal energy, which results in a heat-affected zone of the workpiece. An optimal control problem based on the conjugate gradient method was used. The optimal control approach simulated heat flux distribution in grinding for selected machining conditions based on the measured temperature inside the workpiece. A further goal of the control problem is to optimize the objective function to find the control variables for the desired process state. The optimization algorithm to minimize the objective function was conducted based on the critical heat flux parameters. Namely, by optimizing the relationship between the heating power and duration, the optimum grinding conditions are determined to achieve high productivity and quality. The solution of the gradient-based optimal control problem was obtained by the iterative numerical optimization technique. The results of the optimal heat control problem showed a good agreement with the experimental data.