CONTROL OF OSCILLATIONS IN SYSTEMS WITH MANY DEGREES OF FREEDOM

摘要

Two procedures for the control design in dynamical systems subjected to the control and state constraints are described and applied to the control of oscillations. The first approach is based on the decomposition of the original system with many degrees of freedom into simple oscillators; the second one is an extension of Kalman's method. Both approaches produce explicit control laws satisfying the constraints imposed and driving the system from a given initial state to the terminal state in finite time. Several examples are presented.