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Nonlinear General Integral Control Design via Equal Ratio Gain Technique

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DOI: 10.4236/ijmnta.2014.35028    2,503 Downloads   2,718 Views   Citations
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ABSTRACT

This paper proposes two kinds of nonlinear general integral controllers, that is, one is generic and another is practical, for a class of uncertain nonlinear system. By extending equal ratio gain technique to a canonical interval system matrix and using Lyapunov method, theorems to ensure regionally as well as semi-globally asymptotic stability are established in terms of some bounded information. Moreover, for the practical nonlinear integral controller, a real time method to evaluate the equal ratio coefficient is proposed such that its value can be chosen moderately. Theoretical analysis and simulation results demonstrated that not only nonlinear general integral control can effectively deal with the uncertain nonlinear system but also equal ratio gain technique is a powerful and practical tool to solve the control design problem of dynamics with the nonlinear and uncertain actions.

Cite this paper

Liu, B. (2014) Nonlinear General Integral Control Design via Equal Ratio Gain Technique. International Journal of Modern Nonlinear Theory and Application, 3, 256-266. doi: 10.4236/ijmnta.2014.35028.

References

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