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

Zuev, A. L.

Din. Sist., Simferopol’ 20, 27-34 (2006).

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.

Reviewer: I. T. Selezov (Kyïv)

MSC:

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

Keywords:

elastic oscillation; canonical form; control; flexible beam