Abstract
The problem of algorithmic design of the system of inertial control of a moving object is considered, in which the compensation of number errors caused by errors of accelerometers without external sources of information about the navigation elements of the object is carried out. The principle of solving the problem is demonstrated on the model of a single-channel positional inertial control system. Algorithms of instantaneous a posteriori estimation of calculated variables are investigated, which allow to obtain estimates that are invariant to measurement errors, and to correct the inertial control channel without an external positioning system. For the operating conditions of the system, under which the values of measurement errors and the disturbing force are represented by random numbers that preserve constant values over the observation interval, estimates of the calculated variables corresponding to almost complete compensation of the calculation errors are obtained.
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