Further results on output-feedback regulation of stochastic nonlinear systems with SiISS inverse dynamics

Abstract

This article further discusses the problem of output-feedback regulation for more general stochastic nonlinear systems with stochastic integral input-to-state stable inverse dynamics, and focuses on solving the important and unsolved problem proposed in Yu and Xie (Yu, X., and Xie, X.J. (2010), ‘Output Feedback Regulation of Stochastic Nonlinear Systems with Stochastic iISS Inverse Dynamics’, IEEE Transactions on Automatic Control, 55, 304–320): How to weaken the conditions on nonlinearities in drift and diffusion vector fields? Under the weaker conditions, how to make full use of the known information of stochastic nonlinear systems to design an adaptive output-feedback controller such that all the closed-loop signals are almost surely bounded and the output is driven to zero almost surely?

Keywords:

• stochastic nonlinear systems
• SiISS inverse dynamics
• output-feedback regulation

Acknowledgements

This work was supported by National Natural Science Foundation of China (Nos 60774010, 10971256 and 60974127), Innovation Program of Graduate Students of Jiangsu Province of China, and Shandong Provincial Natural Science Foundation of China (Nos ZR2009GM0D8 and ZR2009AL014). The authors would like to thank the editor and the reviewers for their helpful comments and suggestions in improving the quality of this article.