Russian Federation
employee
Russian Federation
VAK Russia 2.9.8
UDC 681.513.2
A method is proposed for linearizing a non-linear model of the controlled motion of a multi-connected dynamic object with attached structural elastic elements. The method is founded on the use of non-special transformations of smooth manifolds based on the well-known Lie algebra. Purpose: to apply a well-developed theory of optimal linear control based on L. S. Pontryagin’s maximum principle or R. Bellman’s principle of optimality. Methods: the general theoretical approach of pseudo-coordinate linearization is considered, and the procedure for linearizing the model of controlled angular motion of a remote-controlled aircraft is illustrated. Practical significance: a finite-dimensional mathematical model has been obtained that is applicable to solving the synthesis problems of optimal, robust and finite control of spatial angular motion of a remote-controlled aircraft.
non-linear differential equations, pseudo-coordinate linearization, optimal, robust and finite control
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