Elastic oscillations control with using a canonical form. (Russian. English summary) Zbl 1113.93025

The system of differential equations describing oscillations of a rigid body with a flexible beam (or some beams) is considered. An explicit expression for the feedback transformation that transfers the systems considered into its standard canonical form (Brunovsky canonical form) is given. A constructive approach for solving the problem with a finite number of degrees of freedom is proposed.


93B10 Canonical structure
70Q05 Control of mechanical systems
93C05 Linear systems in control theory