Optimum control of purpose activities in the area of quality based on a linear model of dynamics in state space

Abstract

The paper considers the optimization problem formulation at goal-setting in the field of quality on the basis of a dynamics verified linear model in the state space using stepwise and linear laws of enterprise activity management. The classical quadratic functional to find optimal solutions for goal-setting was used. The direct connection of these functional components with the Taguchi loss function for product quality indicators has been substantiated, and the function scope application on the managing purposeful activities process has been expanded. The optimization parameters are determined, which are the amplification factors of the control actions. These actions ensure the actual attainability of the set goals in the field of quality during the time planned period. The optimal solutions search was carried out on the example of the textile and light industry CJSC “Salyut” (St. Petersburg). The functional minimum value in case of stepwise control law is more than 14 times greater than with a linear law. This fact found under the condition of equal unit costs for quality losses and control caused by their deviations from the nominal values. The results obtained can be used for a reasonable choice of the enterprise management law in the goal-setting in the field of quality.