Asymptotic stabilisation for a class of feedforward input-delay systems with ratios of odd integers

Abstract

This article addresses the stabilisation problem by state-feedback for a class of feedforward input-delay nonlinear systems with ratios of odd integer powers. The designed controller achieves the global asymptotic stability. Based on the appropriate state transformation of time-delay systems and the Lyapunov method, the problem of controller design can be converted into the problem of finding a parameter which can be obtained by appraising the nonlinear terms of the systems. Finally, three simulation examples are given to illustrate the effectiveness of the control algorithm proposed in this article.

Keywords:

• nonlinear time-delay systems
• feedforward systems
• state-feedback stabilisation
• Lyapunov method

Acknowledgements

The authors thank the anonymous reviewers for their comments which improved the quality of this article. This work is supported by National Natural Science Foundation of China (61072109, 61174213), the Program for New Century Excellent Talents in University (NCET-10-0665) and the China Postdoctoral Science Foundation funded project (20090461282, 201003666).