A minimum force, threshold control strategy is developed for the vibration control of mechanical structures modeled as a nonlinear, time-varying, single-degree-of- freedom oscillator. The threshold control strategy results in a control that is applied over short control time intervals. During each control time interval, the control law is con strained to be a linear combination of the structure's position and velocity. The necessary conditions that define the optimal control are shown to consist of a two-point boundary value problem and a pair of coupled, definite integral equality constraints. A numerical solution technique is then developed to determine the optimal control.
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