Piezoelectric fuel injection provides a high bandwidth response that can be utilized in a common rail system to control injection during rate shaping. A model-based control is necessary to compensate for the nonlinearities, including the non-smoothness, in a piezoelectric fuel injector. Since the injector has a high order, a dynamic surface control was developed and simulated in MATLAB. In this paper, a stability analysis of the dynamic surface control is performed and show the stability and the guarantee of tracking performance.

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