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Open Access Publications from the University of California

A Hybrid PID Design For Asymptotic Stabilization With Intermittent Measurements

  • Author(s): Lavell, Daniel
  • Advisor(s): Sanfelice, Ricardo
  • et al.

In this paper, we consider the case when implementing a proportional-integral-derivative (PID) controller in the presence of non-periodic and intermittent sensor measurements. Current PID control design methods cannot accurately handle the case when the measurements arrive at isolated and potentially non-periodic time instants. We model the continuous-time plant being control, the impulsive measurement updates and the PID control law adapted to handle the measurement structure using a hybrid systems framework. By way of Lyapunov stability analysis for hybrid systems, we given sufficient conditions and a computationally tractable design method for the PID controller. We conclude by illustrating the results through numerical examples.

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