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7.5 Conclusion

Any realistic autotuner should possess some ability to handle load disturbances. This is especially important for slow industrial processes. The reason is fairly obvious: load disturbance can give erroneous results in system identification. Despite the fact that the relay feedback test is more resilient to load changes, the estimates of Ku and ωu deteriorate exponentially as the magnitude of the load increases. Since external load disturbance generally leads to an asymmetric oscillation, an intuitive approach is to restore a symmetric output response using the biased relay. In this chapter, a simple relationship is derived to find the bias value for the outputbiased relay. The results show that good estimates of Ku and ωu can be achieved under step-like and non-step-like load changes.

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7.6 References

  1. Smith CL. Digital computer process control. Intex: Scranton; 1972.

    Google Scholar 

  2. Seborg DE, Edgar TF, Mellichamp DA. Process dynamics and control. 2nd ed. New York: Wiley; 2004.

    Google Scholar 

  3. West JC, Douce JL, Livesley RK. The dual-input describing function and its use in the analysis of non-linear feedback systems. Proc. IEE. 1956;103B:463.

    Google Scholar 

  4. Oldenburger R, Boyer RC. Effects of extra sinusoidal input to nonlinear systems. Trans. ASME, 1962;84D:559.

    Google Scholar 

  5. Atherton DP. Nonlinear control engineering. London: Van Nostrand Reinhold; 1982.

    Google Scholar 

  6. Shen SH, Wu JS, Yu CC. Biased-relay feedback for system identification. AIChE J., 1996;42:1174.

    Article  Google Scholar 

  7. Hang CC, Åström KJ, Ho WK. Relay auto-tuning in the presence of static load disturbance. Automatica, 1993;29:563.

    Article  Google Scholar 

  8. Shen SH, Yu CC. Indirect feedforward control: Multivariable systems. Chem. Eng. Sci., 1992;47:3085.

    Article  Google Scholar 

  9. Luyben WL. Process modeling, simulation and control for chemical engineers. 2nd ed. New York: McGraw-Hill; 1990.

    Google Scholar 

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© 2006 Springer-Verlag London Limited

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(2006). Load Disturbance. In: Autotuning of PID Controllers. Springer, London. https://doi.org/10.1007/1-84628-037-0_7

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  • DOI: https://doi.org/10.1007/1-84628-037-0_7

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84628-036-8

  • Online ISBN: 978-1-84628-037-5

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