| Abstract: | A controlled fourth-order linear mechanical system, containing a vibrating member, is considered. Geometric constraints are imposed on the control and phase variables. The problem of bringing the system to a given state in a finite time is solved. The solution employs an approach based on Kalman's general scheme for constructing controls as linear combinations of characteristic motions of the uncontrolled system. Results of a numerical simulation of the dynamics of a closed system are presented |
