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On the Comparisons of PID and GI-PD Control

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DOI: 10.4236/eng.2015.77035    2,222 Downloads   2,553 Views  

ABSTRACT

In conjunction with a second order uncertain nonlinear system, this paper makes some comparisons between PID control and general-integral-proportional-derivative (GI-PD) control; that is, by Routh’s stability criterion, we demonstrate that the system matrix under GI-PD control can be stabilized more easily; by linear system theory and Lyapunov method, we demonstrate that GI-PD control can deal with the uncertain nonlinearity more effectively; by analyzing and comparing the integral control action, we demonstrate that GI-PD control has the better control performance. Design example and simulation results verify the justification of our conclusions again. All these mean that GI-PD control has the stronger robustness and higher control performance than PID control. Consequently, GI-PD control has broader application prospects than PID control.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Liu, B. , He, B. and Luo, X. (2015) On the Comparisons of PID and GI-PD Control. Engineering, 7, 387-394. doi: 10.4236/eng.2015.77035.

References

[1] Knospe, C.R. (2006) PID Control. IEEE Control Systems Magazine, 26, 30-31.
http://dx.doi.org/10.1109/MCS.2006.1580151
[2] Liu, B.S. and Tian, B.L. (2009) General Integral Control. Proceedings of the International Conference on Advanced Computer Control, Singapore, 22-24 January 2009, 136-143.
http://dx.doi.org/10.1109/icacc.2009.30
[3] Liu, B.S., Luo, X.Q. and Li, J.H. (2013) General Concave Integral Control. Intelligent Control and Automation, 4, 356-361.
http://dx.doi.org/10.4236/ica.2013.44042
[4] Liu, B.S., Luo, X.Q. and Li, J.H. (2014) General Convex Integral Control. International Journal of Automation and Computing, 11, 565-570.
http://dx.doi.org/10.1007/s11633-014-0813-6
[5] Liu, B.S. (2014) Constructive General Bounded Integral Control. Intelligent Control and Automation, 5, 146-155.
http://dx.doi.org/10.4236/ica.2014.53017
[6] Liu, B.S. (2014) On the Generalization of Integrator and Integral Control Action. International Journal of Modern Nonlinear Theory and Application, 3, 44-52.
http://dx.doi.org/10.4236/ijmnta.2014.32007
[7] Liu, B.S. and Tian, B.L. (2012) General Integral Control Design Based on Linear System Theory. Proceedings of the 3rd International Conference on Mechanic Automation and Control Engineering, 5, 3174-3177.
[8] Liu, B.S. and Tian, B.L. (2012) General Integral Control Design Based on Sliding Mode Technique. Proceedings of the 3rd International Conference on Mechanic Automation and Control Engineering, 5, 3178-3181.
[9] Liu, B.S., Li, J.H. and Luo, X.Q. (2014) General Integral Control Design via Feedback Linearization. Intelligent Control and Automation, 5, 19-23.
http://dx.doi.org/10.4236/ica.2014.51003
[10] Liu, B.S., Luo, X.Q. and Li, J.H. (2014) General Integral Control Design via Singular Perturbation Technique. International Journal of Modern Nonlinear Theory and Application, 3, 173-181.
http://dx.doi.org/10.4236/ijmnta.2014.34019
[11] Liu, B.S. (2015) Equal Ratio Gain Technique and Its Application in Linear General Integral Control. International Journal of Modern Nonlinear Theory and Application, 4, 21-36.
http://dx.doi.org/10.4236/ijmnta.2015.41003
[12] Liu, B.S. (2015) Power Ratio Gain Technique and General Integral Control. Applied Mathematics, 6, 663-669.
http://dx.doi.org/10.4236/am.2015.64060
[13] Khalil, H.K. (2007) Nonlinear Systems. 3rd Edition, Electronics Industry Publishing, Beijing, 551, 449-453.

  
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