Input shaping for limiting loads and vibration in systems with on-off actuators

Command shaping for flexible systems: A review of the first 50 years

“…Such closed-form commands are also available for cases where the transient deflection 111,112 and the fuel usage 109,110 need to be limited. Another simple method for command shaping with on/off actuators is an approach where standard input-shaped commands are converted to an on/off function by approximation, 113,114 or pulse-width modulation. 115,116…”

Slewing Flexible Spacecraft with Deflection-Limiting Input Shaping

“…Some heuristic methods for extending input shaping to the case of on-off actuators have been developed. 19 Use of constraintson the impulse amplitudes have been used to generate a) Rotary system b) Linear system time-optimal command pro les for on-off reaction jets. Liu and Wie, 7 Singh and Vadali, 9 and Wie et al 20 demonstratedon-off input shapingwith mass, spring,and damper simulations.Singhoseet al 10 used a detailed nonlinear simulation of the Space Shuttle's remote manipulator and hardware experiments to demonstrate extra-robust input shaping for on-off actuators.…”

Rest‐to‐Rest Attitude Naneuvers and Residual Vibration Reduction of a Finite Element Model of Flexible Satellite by Using Input Shaper

“…Flexible spacecraft equipped with on-off reaction jets cannot produce the variable-amplitude actuation force that is usually required with input shaping; the spacecraft must be moved with constant amplitude force pulses. Some heuristic methods for extending input shaping to the case of on-off actuators have been developed [11]. The use of constraint on the impulse amplitudes have been used to generate time-optimal command profiles for on-off reaction jets.…”