Synthesis of Control of Spacecraft Descent on the Moon Surface using the Method of Network Operator

The problem of synthesis of the spacecraft control system is considered for the spacecraft descent onto the Moon surface. In the problem, it is necessary for the spacecraft from the given domain of initial values to fall into the vicinity of terminal states for the limited time. To solve the problem, a numerical method of network operator is applied, which allows both structure and parameters ofmultidimentional function to be found. The search for control function is performed over the set of multidimentional functions described in the form of integer matrices of network operators. The elements of matrices indicate the numbers of elements in the sets of unary and binary operations. The domain of initial values is replaced with the finite set of points. Initial functionals are substituted by the sum of functionals that are calculated for each point. The obtained control system is investigated. It is shown that the synthesized nonlinear control system provides a high precision of the spacecraft falling into the specified domain with different variations of initial values and parameters of the object of control.

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