Memorised quasi-time-fuel-optimal feedback control of perturbed double integrator

  • Jing W
  • McInnes C
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Abstract

Quasi-time-fuel-optimal feedback control of the perturbed double integrator ẍ = f(ẋ,x,t) + g(ẋ,x,t)u is studied. A feedback control strategy is presented to overcome overshoot by introducing two compensation factors into time-fuel-optimal switching curves of the ideal double integrator. Robust convergence of the closed-loop system is proved. The control strategy presented has memory of past on-off commutation which eliminates chattering of the system and makes the system converge to the origin in a boundary layer, rather than slide to the origin along the switching curves. A simulation example is given to illustrate feasibility of the control strategy. © 2002 Elsevier Science Ltd. All rights reserved.

Author-supplied keywords

  • 2D systems
  • On-off control
  • Robust control
  • Suboptimal control
  • Uncertain system

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Authors

  • Wu Xing Jing

  • Colin R. McInnes

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