Experimental study of variable structure control in time-delay for a flexible beam under forced vibration

Delayed feedback control is a novel and effectivestrategy in time-delay system. This paper presents an experimental study ofdelayed feedback control with a flexible cantilever beam And develop amultiple time-delays controller. First, the system state equation withmultiple time delays is discretized and transformed into a standard discreteform without explicit time delay by a particular augmenting for statevariables. Second, a time-delay controller is designed using the variablestructure control method. Furthermore, piezoelectric (PZT) patches are usedas actuators and exciter, and foil gauges are used as sensors in theexperiments with single and double time delays. The feasibility andefficiency of delayed feedback control method are verified boththeoretically and experimentally.