Chapter 8
Application of Chaos Stabilization
The stabilization of chaos in electric drive systems has been investigated in Chapter 6. This can regulate the chaotic motion in such a way that any harmful vibration can be avoided. It has also been discovered that chaotic behaviors exist in many applications. In particular, some electromechanical systems exhibit chaotic behaviors due to their special configurations or operating characteristics. Such chaotic behaviors not only deflect the system performance but also harm the safety of human beings. Because of the high controllability and flexibility of electric drives, they offer the ability to stabilize those undesirable chaotic behaviors.
In this chapter, the stabilization of chaos in three different applications – namely the wiper system in automobiles, the centrifugal governor system for internal combustion engines, and the rate gyro system in space vehicles – are investigated. The corresponding modeling, analysis, and stabilization are discussed.
8.1 Chaos Stabilization in Automotive Wiper Systems
Various harmful vibrations have been identified in automotive wiper systems (Grenouillat and Leblanc, 2002). As there is a trend for cars to become increasingly quieter, these vibrations not only decrease the wiping efficiency, but also degrade the driving comfort. Also, the disturbance creates a safety hazard. The vibrations are classified into three main groups: squeal noise with a frequency above 1 kHz, reversal noise with a frequency ...
