| 摘要: |
| This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology. |
| 关键词: Stochastic nonlinear systems, stochastic input-to-output stability, stabilization, gain assignment, small-gain |
| DOI： |
| Received:November 18, 2015Revised:December 09, 2015 |
| 基金项目: |
|
| New results in global stabilization for stochastic nonlinear systems |
| T. Bian,Z.-P. Jiang |
| (Control and Networks Lab, Department of Electrical and Computer Engineering, Tandon School of Engineering, New York University) |
| Abstract: |
| This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology. |
| Key words: Stochastic nonlinear systems, stochastic input-to-output stability, stabilization, gain assignment, small-gain |
