Delov S., Fedoskin O.

In some tasks (for example, in strapdown navigation) the target values may be determined as complex integrals with the use of certain physical quantities. At the same time these quantities may not be measured directly. These integrals may form the measurements. (Inertial sensors - accelerometers and gyroscopes - may be as examples of integrating ones.) In this case, traditional integration algorithms (Euler, Runghe-Kutta, etc.) cannot be used. The method to design the digital integration algorithm in this special situation is offered. It is based on the polynomial signals representation. It is shown this method provides the number of uniform algorithms which differ only by their parameters (coefficients). The approaches to optimize such algorithms are discussed in the given paper. The following criteria to select the best one are formulated: to minimize the methodical error the first and to minimize the stochastic one. The example is given to demonstrate the approach. Modeling is performed to show different algorithms under certain conditions.