Download Control of Integral Processes with Dead Time (Advances in by Antonio Visioli PDF

By Antonio Visioli

Keep an eye on of quintessential methods with useless Time presents a unified and coherent evaluate of a few of the methods devised for the keep watch over of imperative tactics, addressing the matter from diverse standpoints. specifically, the publication treats the subsequent issues: how one can track a PID controller and determine its functionality; find out how to layout a two-degree-of-freedom regulate scheme with a purpose to care for either the set-point following and cargo disturbance rejection initiatives; the right way to alter the elemental Smith predictor regulate scheme so as to focus on the presence of an integrator within the technique; and the way to deal with the presence of enormous procedure lifeless occasions. The tools are offered sequentially, highlighting the evolution in their intent and implementation and hence sincerely characterising them from either educational and business views.

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Extra resources for Control of Integral Processes with Dead Time (Advances in Industrial Control)

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23. 3 Based on the Specification of the Desired Control Signal An original approach, based on the specification of the desired control signal, has been proposed in [139]. 123) = R(s) K τ 2 s 2 + 2ξ τ s + 1 where the time constant τ is chosen as τ = αL. 3 Tuning Methods 39 Fig. 23 Results obtained with the method based on the minimisation of the maximum resonance peak value initial change of (2αξ + 1)Ar /(α 2 KL) and then decays exponentially to zero following a second-order system response with normalised time constant α and damping factor ξ .

23 Results obtained with the method based on the minimisation of the maximum resonance peak value initial change of (2αξ + 1)Ar /(α 2 KL) and then decays exponentially to zero following a second-order system response with normalised time constant α and damping factor ξ . 707 or 1), this fact can be obviously exploited for the selection of the design parameter α in order to address the actuator constraints. Given Q(s), the desired closed-loop transfer function between the set-point r and the output y becomes H (s) := Q(s)P (s), and the corresponding desired open-loop transfer function becomes H (s) (2αξ + 1)Ls + 1 = 2 2 2 e−Ls .

47) K = Kp K. 51) K L 1 − . 13. 54) 2 or, alternatively, ζ =− ∞ −ym1 ln yyM1 −y∞ ∞ −ym1 π 2 + ln yyM1 −y∞ 2 and τe = Δt π 1 − ζ 2. 55) 24 2 PID Control Fig. 5 + ζ 2 − ζ 2 1 + ζ 2 . 57) It is worth noting that the value of the proportional gain of the controller has to be sufficiently high to provide an oscillatory set-point step response. 20). 11, and y∞ = 1. 23. The slight discrepancy between the true and estimated values is due to the Padè approximation. 3 Tuning Methods A large number of tuning methods have been proposed in literature over the last seventy years.

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