Time-constant robust analysis of a fractional order [proportional derivative] controller

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Time-constant robust analysis of a fractional order [proportional derivative] controller

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This study discusses fractional order [proportional derivative] (FO[PD]) controller tuning rules for robustness motion control systems. According to the proposed method, the controller is designed simultaneously satisfying the robustness property with respect to time-constant variation and the desired phase margin criteria. In this study, the authors focus on the first-order plus time delay model with an integrator. A systematic tuning rule is developed for the FO[PD] controller. Numerical computation of the tuning formulae and the relationship between design specifications and design parameters are both discussed. For simplifying the computation and achieving online tuning, the crossover frequency has been discussed. Experimental results are included to validate the proposed tuning method.

Inspec keywords: motion control; numerical analysis; stability; PD control; delays; control system synthesis; robust control

Other keywords: time constant robust analysis; first order plus time delay model; time constant variation; systematic tuning rule; robustness motion control systems; proportional derivative controller; fractional order controller

Subjects: Other numerical methods; Spatial variables control; Distributed parameter control systems; Stability in control theory; Control system analysis and synthesis methods

References

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      • Jin, Y., Luo, Y., Wang, C., Chen, Y.-Q.: `LabVIEW based experimental validation of fractional order motion controllers', 2009 Chinese Control and Decision Conf., 2009, p. 323–328.
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      • Zhao, C., Dingyu, X., Chen, Y.-Q.: `A fractional order PID tuning algorithm for a class of fractional order plants', Proc. 2005 IEEE Int. Conf. Mechatronics and Automation, 2005, 1, p. 216–221.
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http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2009.0543
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