Analysis of sensitivity of an optimal system to parameter variations

With determination of concentrate optimal characteristics in coal dressing as an example, an approach to analysis of the system (which is to be optimized) performance sensitivity to parameter variations is described. The sensitivity matrix is constructed and its structure is analyzed. The optimal system sensitivity matrix is shown to be singular. A direction of parameter variation is determined along which the system performance does not deterorate as is that of the worst deterioration. An analytical dependence of the system performance deterioration on variation of individual parameters is found.