Development of the method for determining optimal parameters of the process of displacement of technological objects

Abstract

The optimization of technological processes is the only tool that can ensure maximization of financial resources of the owner of an enterprise. The most numerous class of managed systems is the systems of displacement. It is believed that finding an optimum of the displacement process can be implemented using the methods of dynamic programming. However, in this case, the search process is carried out under the assumption that an increase in the displacement velocity has no effect on the magnitude of wear of the technological mechanism of a displacement system. In this case, parameters of the acceleration and the established process of displacement are determined employing different criteria for the quality of control. In contrast to the conventional approach, within the framework of present study, a two-stage operational displacement process is optimized based on a single criterion of the efficiency of resource use. However, the optimization model of a displacement process is essentially non-linear. Classical methods of searching for a global optimum under such conditions imply unnecessarily long work of technological equipment under non-optimal modes. The idea of the method is to significantly narrow the region of a two-parametric search optimization using a one-parametric search for local extrema of the sub-processes of acceleration and uniform displacement and to maximally close approach the global optimum at its first step. The research has shown that the narrowing of the region of a two-parametric search optimization of the process of displacement can be ensured through preliminary four-stage single-parametric search for local extrema for the sub-processes of acceleration and the process of uniform displacement. Within the range of the first and second stages of search for local minima of the sub-processes costs we determine initial conditions in the search for local maxima of the efficiency of displacement sub-processes. The coordinates of the found extrema enable determining a starting point of the search optimization and limit the search region. The proposed method significantly reduces the dimensions of region of search optimization (by seven times in the considered example) and reduces the number of steps in the search optimization by an order of magnitude. Therefore, the proposed practical method of searching for the optimal trajectory of control is robust in its essence.