Abstract
Sequential auto-tuning based model identification is a closed loop approach, which has an extensive benefit compared to conventional methods because of user defined manipulated gain to the process within the verge of instability. Model parameters estimation of multi input multi output process is challenging because of existence of multivariable interaction among the variables. In this paper ideal relay is used as a sequential basis for binary distillation column in real time. Obtaining sustained oscillations in conventional methods is based on trial and error, benefit of relay is that oscillations can be generated as scaling of user defined gains. Predictive PI control algorithm is implemented. Results depicts the efficiency of methodology and importance of anti-reset term in the algorithm.
Highlights
Sequential auto-tuning based model identification is a closed loop approach, which has an extensive benefit compared to conventional methods because of user defined manipulated gain to the process within the verge of instability
Interaction among the variables makes the control design more challenging in multi input and multi output process
By following the concept of sequential auto tuning method each controller is designed in series
Summary
Wood and berry model is taken as reference model and parameters were obtained in relay. As relay is given to loop (Y1/R1) and loop (Y2/R2) is automated as shown, oscillations are generated at Y1 and new Gc1 can be obtained. This procedure continues till the controller Gc1 and Gc2 converges. Change in input generates oscillations at Y1, by making use of those oscillations ultimate gain and ultimate frequency can be calculated, by using Ziegler–Nichols closed loop tuning Gc1 is obtained. Substitute in the controller values in the closed loop system we have got the transfer function G11 and G22 i.e (8) and (9) New models obtained using wood and berry model as given below. By using equation (11) and (12) Predictive PI control has been design and implemented with closed loop [8]
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