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The construction of time-periodic stabilizing matrices by the monodromy matrix approach is presented, the time-periodic stabilizing matrices are a special case of time-varying stabilizing matrices formulated in the Brockett problem, a open problem in control theory; a practical example about construction of time-periodic stabilizing matrix for the vertical stabilization of the pendulum with oscillating...
This note studies a delayed control approach (open and closed loop) in order to attenuate the oscillations of a three degrees of freedom (3DOF) overhead crane system. The proposed control schemes have the capability of attenuate the oscillations during the travel phase and eliminated them at the end point. Both control schemes give us simple expressions for the optimal control parameters. We compared...
A strategy for the tuning of a second order system in closed loop with a proportional retarded control law, based on the root location analysis of the system, is proposed. It is validated by achieving a significant reduction of the oscillatory behavior of a cart pendulum experimental setup.
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