PARAMETRIC CONTROL OF CONSERVATIVE MECHANICAL SYSTEMS

Parametric excitation is used to control the vibration of a conservati ve mechanical system. The excitation is varied according to a quadrati c, state feedback control law. If the system has distinct eigenvalues and a full rank, diagonalizable, parametric control matrix then the co ntrol law is asymptotically stabilizing. To eliminate the required ful l state sensing, an observer is designed to estimate the states from t he minimum number of linear measurements. There always exists an obser ver if the system is linearly observable and the control is bounded. A n example demonstrates the method.