Optimal control in problem of flexible system oscillations. (Russian. English summary) Zbl 1164.93004

A mathematical model of the mechanical system with a rotating flexible beam introduced earlier by the author is considered. The problem of minimizing the square of the control norm is considered for fixed initial and finite states of the system. For this purpose, the optimal control problem is reduced to Lagrange’s problem by using the Brunovsky canonical form.


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