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Two nonlinear controllers for voltage inverter-fed induction machines are presented in order to ensure flatness based trajectory tracking. The first one is a sliding mode controller and for the design of the second one a backstepping approach is used, where also a sliding mode regime arises. Simulation results illustrate the value of the presented methods.
Three simple nonlinear examples with physical background are considered. They illustrate how generalized state representations, which depend on time derivatives of the input, occur. It is shown with these examples how quasi-static feedback of such generalized states may be used for input-output decoupling, disturbance rejection, and linearization--and thus for trajectory tracking.
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