Finite-Time Output Feedback Stabilization for Stochastic High-Order Nonlinear Systems

作者：Zhai, Jun-yong^*

来源：Circuits, Systems, and Signal Processing, 2014, 33(12): 3809-3837.

DOI：10.1007/s00034-014-9831-4

• Finite-time
• Output feedback
• Homogeneous domination
• Stochastic nonlinear systems

This paper investigates the problem of global finite-time output feedback stabilization in probability for a class of stochastic high-order nonlinear systems. The drift and diffusion terms satisfy the homogeneous growth conditions. Based on the stochastic Lyapunov theorem and the adding one power integrator technique, a homogeneous observer and controller are constructed for the nominal system. Then, a scaling gain is introduced into the homogenous observer and controller to render the closed-loop system to be globally finite-time stable in probability. Two examples are given to illustrate the effectiveness of the proposed design scheme.

• 出版日期2014-12
• 单位东南大学