Solution of Inverse Dynamic Problem for Time-Variant Linear Object

The paper deals with the developing of scientific backgrounds to design the control system for time-variant linear dynamical objects. These backgrounds are based on using the interval methods to transform time-variant models into interval time-invariant form. One can use control theory methods to perform the transformation of the designed model into the operator form. The proposed method allows us to describe a time-variant dynamical object by the interval differential equations with time-invariant factors. It is possible to define interval transfer functions for designed in such way models and one can use these transfer functions to define minimal and maximal controller's transfer function, which make it possible to transform control object into the desired form by solving an inverse dynamic problem and compensating object inner dynamic. We show various control methods can be used to control transformed object. We illustrate the usage of our methods by considering the example of controller design for UAV speed control.