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

W.J. Jing, C.R. McInnes

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Quasi-time-fuel-optimal feedback control of the perturbed double integrator Image 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.
Original languageEnglish
Pages (from-to)1389-1396
Number of pages7
Issue number8
Publication statusPublished - 2002


  • 2D systems
  • robust control
  • uncertain system
  • on-off control
  • suboptimal control
  • control systems


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