Tensor signals in automatic positioning control systems for mobile objects

Abstract

The study focuses on using vector-tensor signals in automatic control systems operating in three-dimensional and two-dimensional spaces. The use of tensor signals makes it possible to build a control system in the most physically grounded form without restrictions in space of possible modes. The use of position tensors to close the feedback allows solving the problems of spatial positioning by methods of automatic control theory, including the method of structural diagrams. The study reveals that it is possible to take into consideration the features of working with tensor signals under conditions of relative rotation of coordinate systems in the structural diagram in the form of a variable matrix gain. Calculations showed that the studied class of systems belongs to the class of well linearizable multidimensional automatic control systems.