The proposed approach simultaneously guarantees a bounded mean value and minimum variance of the estimation error.
By taking equality in (18), the minimum variance of the quantization noise follows: (19).
Minimum variance of the target modal damping ratios maximizes the safety against large amplitude vibrations due to the unpredictability of the predominant mode.
So the minimum variance of the water breakthrough time of each production well has been taken as the objective function of the optimization of the well pattern.
Therefore, the minimum variance of contact pressure, (S_{text{first}}^{2}), can be defined as the objective function in this optimization.
Therefore, the minimum variance of contact pressure, (S_{text{first}}^{2}), can be defined as the objective function in this optimization. .
Using the criterion of minimum variance of the output concentration, it is shown that blender performance depends only on the residence time distribution of the blender and the autocovariance function of the input concentration.
For this situation, this paper presents a systematic and easy applicable design procedure for linear viscous dampers that respects Irwin's criterion, minimizes the damper position and leads to almost minimum variance of the target modal damping ratios.
Therefore, an experimental design needs to be specified for estimating the parameters ((hat{varvec{delta }})) in model (4) most precisely, and yield minimum variance of prediction ((hat{y}_{u})).
The parametric model of SPMC is created in APDL for optimization, with structure parameters of the sealing part as design variables, mean contact pressures and plastic strains on two sealing surfaces and variance of contact pressure on the second sealing surface as constrained variables, and minimum variance of contact pressure on the first sealing surface as objective function.
