Autotuning of PID Controllers: A Relay Feedback Approach by Cheng-Ching Yu

By Cheng-Ching Yu

Recognising the advantages of superior regulate, the second one version of Autotuning of PID Controllers presents basic but powerful tools for bettering PID controller functionality. the sensible problems with controller tuning are tested utilizing various labored examples and case reviews in organization with specifically written autotuning MATLABВ® courses to bridge the space among traditional tuning perform and novel autotuning methods.

The generally revised moment version expands and refines on vital paintings within the ubiquitous PID type of regulate with fabric covering:

  • Derivation of analytical expressions for relay suggestions responses with tabulated effects for simple reference.
  • The use of shapes of relay responses to generate details for more desirable closed-loop keep an eye on and function overview.
  • The purposes of autotuning to multiple-model-based instances for dealing with approach nonlinearity.
  • The use of suggestions shapes to generate info for functionality overview.
  • The effect of imperfect actuators on controller performance.

Autotuning of PID Controllers is greater than only a monograph, it really is an self sufficient studying device appropriate to the paintings of educational regulate engineers and in their opposite numbers in searching for more beneficial strategy keep an eye on and automation.


Comments at the first edition:

This publication is written in a manner which not just makes it effortless to appreciate yet is usually worthwhile to these attracted to or operating with PID controllers. Assembly Automation

The booklet could be worthy to brands and clients of regulate gear, and likewise to researchers within the box of computerized tuning. Automatica

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Additional resources for Autotuning of PID Controllers: A Relay Feedback Approach

Sample text

5. 6. 7 shows the estimate of K u and u for both methods when the percentage errors in dead time range from –50% to 50%. Despite the fact that the errors in K u and u are less for the improved method over a reasonable range of errors in dead time, it is more sensitive to the error in D . Therefore, care should be taken in reading off the dead time from the initial responses or the time to the peak amplitude. 3 Approximate Transfer Functions: Time-domain Modeling Up to this point, the model identification is based on the frequency domain approach, which is based on the describing functions.

If the relay height is other than unity, then the model for the relay output response will be just multiplied by actual value of relay height h . 4 Conclusion In this chapter the relay feedback test is introduced and the steps required to perform the experiment are also given. It can be carried out with or without a commercial autotuner. Once you have obtained the information on the ultimate frequency, the controller settings can be decided using the original or modified Ziegler–Nichols methods.

5A shows the original response curve where the output starts to increase after the dead time D. 5. 5B), it becomes clear that the increasing part of the output response is the result of a step increase in “ u ” by a magnitude “ h ”. After a delay time D, the relay switches to h and the second step change becomes effective immediately. 5B. 7) The continuous step change repeats itself and a sustained oscillation results. Note that similar derivations were proposed by Wang et al. [4] for stable FOPDT systems and by Tan et al.

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