TY - GEN
T1 - Parametric control of conservative mechanical systems
AU - Rahn, Christopher D.
AU - Mote, C. D.
PY - 1992
Y1 - 1992
N2 - Parametric excitation is used to control the vibration of a conservative mechanical system. The excitation is varied according to a quadratic, state feedback, control law. If the system has distinct eigenvalues and a full rank, diagonalizable, parametric control matrix, then the control law is asymptotically stabilizing. To eliminate the required full state sensing, an observer is designed to estimate the states from the minimum number of linear measurements. There always exists an observer if the system is linearly observable and the control is bounded. An example demonstrates the method.
AB - Parametric excitation is used to control the vibration of a conservative mechanical system. The excitation is varied according to a quadratic, state feedback, control law. If the system has distinct eigenvalues and a full rank, diagonalizable, parametric control matrix, then the control law is asymptotically stabilizing. To eliminate the required full state sensing, an observer is designed to estimate the states from the minimum number of linear measurements. There always exists an observer if the system is linearly observable and the control is bounded. An example demonstrates the method.
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M3 - Conference contribution
AN - SCOPUS:0026995954
SN - 0791810933
T3 - American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC
SP - 337
EP - 343
BT - Active Control of Noise and Vibration - 1992
PB - Publ by ASME
T2 - Winter Annual Meeting of the American Society of Mechanical Engineers
Y2 - 8 November 1992 through 13 November 1992
ER -