The main objective of this study is to prove that an electromagnetic solenoid valve can be controlled accurately and have a rapid response time while not having to linearize the system. An electromagnetic solenoid valve can neither be slow nor have large amounts of error due to the small distances between the pressure ports and the accuracy of the system they are used to control. The valve modeled for this study was an automotive transmission solenoid valve. The solenoid valve has three ports: supply, exhaust, and controlled pressure. For simplification, this model only considers moving the spool to a specific port location, which will be user specified. The controller used for this system was a nonlinear time-frequency controller that uses Daubechies-3 wavelets for signal transformation. Once, the controller was optimized it was able to control the system accurately and with a rapid response time. The system is able to reach the desired input and maintain zero error in two tenths of a second with out greatly over shooting the desired input. Overall, this system is physically possible to control the way the simulation predicts because all of the parameters used in the simulation are from a real solenoid valve.

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