Intriguing nonlinear dynamics of a controller with a sluggish actuator

  • Authors:
  • B. D. Coller

  • Affiliations:
  • Department of Mechanical Engineering, Northern Illinois University, DeKalb, IL 60115, USA

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2003

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Abstract

We apply a bifurcation-theoretic approach to the standard Moore-Greitzer compressor model in effort to understand a curious phenomenon. When one forces the actuator to respond sluggishly to commanded inputs, performance of the controller improves dramatically. We show that the behavior can be explained via Hopf-Hopf interactions of surge and rotating stall. Also, we argue that there is a broad class of controllers which possess the general dynamic features responsible for the surprising effectiveness of sluggish actuators.