Share This Article:

General Integral Control Design via Singular Perturbation Technique

Abstract Full-Text HTML Download Download as PDF (Size:2606KB) PP. 173-181
DOI: 10.4236/ijmnta.2014.34019    2,028 Downloads   2,336 Views   Citations

ABSTRACT

This paper proposes a systematic method to design general integral control with the generic integrator and integral control action. No longer resorting to an ordinary control along with a known Lyapunov function, but synthesizing singular perturbation technique, mean value theorem, stability theorem of interval matrix and Lyapunov method, a universal theorem to ensure regionally as well as semi-globally asymptotic stability is established in terms of some bounded information. Its highlight point is that the error of integrator output can be used to stabilize the system, just like the system state, such that it does not need to take an extra and special effort to deal with the integral dynamic. Theoretical analysis and simulation results demonstrated that: general integral controller, which is tuned by this design method, has super strong robustness and can deal with nonlinearity and uncertainties of dynamics more forcefully.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Liu, B. , Luo, X. and Li, J. (2014) General Integral Control Design via Singular Perturbation Technique. International Journal of Modern Nonlinear Theory and Application, 3, 173-181. doi: 10.4236/ijmnta.2014.34019.

References

[1] 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.
[2] 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, Baotou, 27-29 July 2012, Vol. 5, 3174-3177.
[3] 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, Baotou, 27-29 July 2012, Vol. 5, 3178-3181.
[4] 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
[5] 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
[6] Liu, B.S., Luo, X.Q. and Li, J.H. General Convex Integral Control. International Journal of Automation and Computing.
[7] 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
[8] Liu, B.S. (2014) On the Generalization of Integrator and Integral Control Action. International Journal of Modern Nonlinear Theory and Application, 3, 4452. http://dx.doi.org/10.4236/ijmnta.2014.32007
[9] Krans, F.J. and Mansour, M. (1991) Sufficient Conditions for Hurwitz and Schar Stability of Interval Matrices. Proceeding of the 30th conference on decision and control, Brighton, December 1991, 3043-3044.
[10] Khalil, H.K. (2007) Nonlinear Systems. 3rd Edition, Electronics Industry Publishing, Beijing, 449-453.

  
comments powered by Disqus

Copyright © 2019 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.