PI auto-tuning during a single transient

PI auto-tuning during a single transient

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A certain adaptive PI tuner operates by injecting variable-frequency sinewaves at the PI's set-point. Its initialisation requires: (a) a stable preliminary controller, (b) reasonable values (correct within a factor of about 3) of the first probing frequency ω0 and of the plant's gain |Gp(jω0)|, and (c) an effective choice of the adaptive gain Ka for rapid tuning. The challenge is to prime the parameters of both the PI and the adaptive algorithm during an open-loop starting transient, using data obtained before the output attains its set-point, and then to complete the tuning for a short period while under closed-loop control. A relevant parameter is Tm, the time for the plant's impulse response to attain its maximum (or equivalently the time for a maximum slope of the step-response s(t)), and a simple estimator of Tm is described. One of three generic plant models is adopted according to the relative position of Tm within the primary experimental time [T1...T2], and it is shown how initialisation depends on the chosen model. The described approach is shown to be effective for a range of plants.


    1. 1)
      • K.K. Tan , Q.-G. Wang , C.C. Hang , T.J. Hägglund . (1999) Advances in PID control.
    2. 2)
      • C.C. Yu . (1999) Autotuning of PID controllers.
    3. 3)
      • K.J. Åström , T. Hägglund . Automatic tuning of simple regulators with specifications on phase and amplitude margins. Automatica , 5 , 645 - 651
    4. 4)
      • J.G. Ziegler , N.B. Nichols . Optimum settings for automatic controllers. Trans. ASME , 759 - 768
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
    12. 12)
    13. 13)
      • D.W. Clarke , J.W. Park . Phase-locked loops for plant tuning and monitoring. IEE Proc., Control Theory Appl. , 2 , 155 - 169
    14. 14)
      • E.C. Hind . Controller selection and tuning. Trans. Inst. Meas. Control , 1 , 46 - 56
    15. 15)
      • M. Zhuang , D.P. Atherton . Automatic tuning of optimum PID controllers. Proc. IEE, Part D , 3 , 216 - 224
    16. 16)
      • T. Hägglund , K.J. Åström . Revising the Ziegler–Nichols tuning rules for PI control. Part II. The frequency response method. Asian J. Control , 4 , 469 - 482
    17. 17)
      • Clarke, D.W., Park, J.W.: `Initialising an adaptive phase/frequency estimator', Technical, 2002.
    18. 18)

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