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

Jing, W.J. and McInnes, C.R. (2002) Memorised quasi-time fuel-optimal feedback control of perturbed double integrator. Automatica, 38 (8). pp. 1389-1396. ISSN 0005-1098

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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.