Stability Analysis of Wave Based Control: Practical Aspects

The wave-based control system has a potential to become effective method of vibration-damping controller design. The only design requirement of this method is to absorb the returning wave by the actuator. Stability or performance of the overall system is not included in the design specifications and the approach does not provide it in general. The advantage of this approach is that it does not need sensors along the entire length of system and it can simultaneously control position and damps vibration. On the other hand, this method is relatively young and there are many areas of research that have to be explored. This paper brings the stability analysis of wave based control for homogeneous chains. The paper also presents some remarks that extend obtained result for distributed systems.