Download Autotuning of PID Controllers [electronic resource]: A Relay by Yu, Cheng-Ching PDF

By Yu, Cheng-Ching

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Extra resources for Autotuning of PID Controllers [electronic resource]: A Relay Feedback Approach

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0 , then the results can be completely misleading. 12, which is less than 10% of the true value. We have to be very cautious when using these models. 2 Improved Algorithm In theory, if the model structure is correct and the ultimate gain and ultimate frequency are correctly identified, then we could have a very good approximation of the transfer function. For example, if the K u and  u in the previous example are close to the true values, then we will not have errors in the steady state gains and time constant for model 1.

Eng. Chem. Res. 1997;36:375. 13. Majhi S, Atherton DP. Auto-tuning and controller design for processes with small time delays. IEE Proc. Control Theory Appl. 1999;146(3):415. 14. Kaya I, Atherton DP. Parameter estimation from relay auto-tuning with asymmetric limit cycle data. Process Control 2001;11:429. 15. Panda RC, Yu CC. Analytical expressions for relay feedback responses. J. Process Control 2003;13:48. 4 Shape of Relay Luyben [1] pointed out that the shapes of the response curves of a relay feedback test contain useful information.

Once you have obtained the information on the ultimate frequency, the controller settings can be decided using the original or modified Ziegler–Nichols methods. You can also go a step further to find an appropriate transfer function for the process. This can be useful for implementing MPC or dead time compensator (Smith predictor). Better approximation can be achieved using the improved algorithm. Finding transfer functions using the biased relay plus hysteresis was discussed by Wang et al. [12].

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