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

By Cheng-Ching Yu

Recognising the advantages of more suitable regulate, the second one variation of Autotuning of PID Controllers presents uncomplicated but potent 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 MATLAB® courses to bridge the distance among traditional tuning perform and novel autotuning methods.

The largely revised moment version covers:

• Derivation of analytical expressions for relay suggestions responses.

• Shapes of relay responses and greater closed-loop regulate and function review.

• Autotuning for dealing with strategy nonlinearity in multiple-model-based situations.

• The influence of imperfect actuators on controller functionality.

This publication is greater than only a monograph, it truly is an self sustaining studying software appropriate to the paintings of educational keep an eye on engineers and in their opposite numbers in trying to find more beneficial approach regulate and automation.


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Additional info for Autotuning of PID Controllers: Relay Feedback Approach

Example text

Chem. Res. 1997, 36, 375. [15] Wood, R. K; Berry, M. W. "Terminal Composition Control ofa Binary Distillation Column," Chem. Eng. Sci. 1973, 28, 1707. [16] Zhuang, M; Atherton, D. P. "Automatic Tuning of Optimum PID Controllers," lEE Proc. Pt. D 1993, 140, 216. CHAPTER 3 IMPROVED RELAY FEEDBACK Luyben (1987) pioneers the use of relay feedback tests for system identification. , first-, second- or thirdorder plus time delay system). , 20% error in K ... ) for typical transfer functions in a control system.

In this chapter, we look at conditions where the relay feedback experiment may fail to generate sustained oscillation. 1 Problem Description The basic idea of Astrom-Hagglund autotuner is that an ideal (on off) relay is placed in the feedback loop to generate a limit cycle. A typical relay feedback experiment goes like this. Consider a system with a positive steady-state gain. Initially, a positive change in the manipulated input u (u = h) is made and as soon as the output y becomes higher than its set point (e = yset - y < 0), the output is switched to the opposite direction (u = -h).

The control objective is to maintain the top and bottoms product compositions by changing the reflux flow rate (R) and vapor boilup rate (V). 12). This is a 2 x 2 system (more discussion on the multivariable system will be presented in Chapter 5). First, the XB - V loop is used to test the accuracy of the proposed method in finding /{" and w". 13 shows the input (V) and output (XB) responses using the proposed autotune identification with a relay height of 5%. 2) show that, compared with the stepping technique (Luyben, 1987), the ideal relay feedback experiment gives significant errors in /{" and w".

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