Abstract

In practical applications, we often encounter problems controlling weakly damped resonant systems. These are devices which often include inertia masses and flexible connecting elements. These devices are mainly gantry cranes, mechatronic systems, elevators, filling lines for the food industry and many others. One approach to improving the transition process in the control of these weakly damped systems is a method of shaping control signals. This method starts to be used in the control of systems with flexible elements in the 90s of the twentieth century. Over the next twenty years, we meet with successful applications, especially in the control of positioning systems. When we are talking about the theoretical description of input shaping today, we meet mainly with two basic approaches. The first is based on the selection of a proper sequence of pulses in the time domain. The second is based on the design of such discrete shaper, which compensates the effect of the complex poles of a controlled system causing residual vibration. Irrespective of the shaper design method, we must know either the systems oscillations and controlled system damping, or the location of the complex poles causing the vibration.

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