Power Ratio Gain Technique and General Integral Control

Baishun Liu

Academy of Naval Submarine, Qingdao, China.

DOI: 10.4236/am.2015.64060                

Abstract

In conjunction with general integral control, and synthesizing Singular perturbation and Equal ratio gain techniques, this paper proposes a new control design technique, named Power ratio gain technique, and then by Lyapunov method, theorem to ensure regionally as well as semi-globally asymptotic stability is established in terms of some bounded information. The highlight point is that it not only inherits all the essences of Singular perturbation and Equal ratio gain techniques but also makes up for their shortcomings, and then the conservatism of control input can be improved by compromising the Power ratio coefficients. Theoretical analysis, design example and simulation results show that Power ratio gain technique is a simple, practical and powerful tool to deal with the uncertain nonlinear system.

Keywords

General Integral Control, Nonlinear Control, Robust Control, Equal Ratio Gain Technique, Singular Perturbation Technique, Power Ratio Gain Technique, Output Regulation

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Khalil, H.K. (2007) Nonlinear Systems. 3rd Edition, Electronics Industry Publishing, Beijing, 551, 449-453.
[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, 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, 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. (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
[6]	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
[7]	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
[8]	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
[9]	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
[10]	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.
[11]	Liu, B.S. (2014) Nonlinear General Integral Control Design via Equal Ratio Gain Technique. International Journal of Modern Nonlinear Theory and Application, 3, 256-266.
[12]	Liu, B.S., Luo, X.Q. and Li, J.H. (2014) Conventional and Added-Order Proportional Nonlinear Integral Observers. International Journal of Modern Nonlinear Theory and Application, 5, 44-52. http://dx.doi.org/10.4236/ijmnta.2014.32007