Control for energy dissipation in structures

Surface control and vibration suppression of a large millimeter-wave telescope

“…For example, active systems have been employed to reduce swaying in tall buildings 4 and to damp vibrations in simple systems. 5 For small systems, there has been work in ''smart material'' technologies where piezoelectric actuators are embedded into structural members, 6,7 but more massive systems more frequently employ control based on proof-mass actuators ͑PMA's͒. The PMA generates a damping control force by accelerating the proof-mass in the opposing direction.…”

Controlling a large flexible structure to mimic a rigid one

“…Because the control forces are bounded, the system may become unstable [2,3]. One way to avoid the saturating control obtained here would be to put a greater penalty on the use of control in the performance index (2.5).…”

“…For example, we could use two actuators to maneuver the system and, when the system reached the desired position, we could use the dosed-loop control to damp out the rest energy in the system. Consider To get a correspondence as close as possible between the LQ method used above, we take as the performance the sum of the total system energy and the total control action as follows [2][3][4] This yields a controlled system with closed-loop eigenvalues…”

“…According to the maximum principle, one can show that the quickest way to perform a rigid body slew maneuver is with bang-bang control [2][3][4][5][20][21][22]. With large control forces, the slew is quick, but large forces may impart an excessive amount of energy into the flexible modes.…”

“…Recently, many control systems have been developed for flexible structures to handle the attitude and shape control problems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Most control system designs are based on state variable feedback methods or modern control techniques which are generated without regard to the locations of the actuators.…”