TY - GEN
T1 - Optimal input shaping filters for non-zero initial states
AU - Dhanda, Abhishek
AU - Vaughan, Joshua
AU - Singhose, William
PY - 2009
Y1 - 2009
N2 - This paper presents an approach to design optimal vibration reduction input shapers for systems with nonzero initial conditions. The problem is first formulated as an optimal control problem and the optimal solution is shown to be bang-bang. Once the structure of the optimal shaper is known, a parametric problem formulation is presented for the computation of the switching times. For digital implementation, discrete time approximate solutions are derived by solving a quasi convex Linear Program. Simulation results are shown for closed-form implementation of these filters on flexible structures. The digital solutions are experimentally verified on a portable bridge crane.
AB - This paper presents an approach to design optimal vibration reduction input shapers for systems with nonzero initial conditions. The problem is first formulated as an optimal control problem and the optimal solution is shown to be bang-bang. Once the structure of the optimal shaper is known, a parametric problem formulation is presented for the computation of the switching times. For digital implementation, discrete time approximate solutions are derived by solving a quasi convex Linear Program. Simulation results are shown for closed-form implementation of these filters on flexible structures. The digital solutions are experimentally verified on a portable bridge crane.
UR - http://www.scopus.com/inward/record.url?scp=70449632518&partnerID=8YFLogxK
U2 - 10.1109/ACC.2009.5160293
DO - 10.1109/ACC.2009.5160293
M3 - Conference contribution
AN - SCOPUS:70449632518
SN - 9781424445240
T3 - Proceedings of the American Control Conference
SP - 4141
EP - 4146
BT - 2009 American Control Conference, ACC 2009
T2 - 2009 American Control Conference, ACC 2009
Y2 - 10 June 2009 through 12 June 2009
ER -