Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, Jiangsu 210096, China.
Key Laboratory of Measurement and Control of CSE, Ministry of Education, School of Automation, Southeast University, Nanjing, Jiangsu 210096, China.
ISA Trans. 2014 May;53(3):709-16. doi: 10.1016/j.isatra.2014.01.005. Epub 2014 Feb 14.
This paper investigates the problem of global finite-time stabilization in probability for a class of stochastic nonlinear systems. The drift and diffusion terms satisfy lower-triangular or upper-triangular homogeneous growth conditions. By adding one power integrator technique, an output feedback controller is first designed for the nominal system without perturbing nonlinearities. Based on homogeneous domination approach and stochastic finite-time stability theorem, it is proved that the solution of the closed-loop system will converge to the origin in finite time and stay at the origin thereafter with probability one. Two simulation examples are presented to illustrate the effectiveness of the proposed design procedure.
本文研究了一类随机非线性系统的全局有限时间稳定性概率问题。漂移和扩散项满足下三角或上三角齐次增长条件。通过添加一个幂积分器技术，首先为无扰动非线性的标称系统设计了一个输出反馈控制器。基于齐次控制方法和随机有限时间稳定性定理，证明了闭环系统的解将在有限时间内收敛到原点，并随后以概率 1停留在原点。给出了两个仿真示例来说明所提出的设计过程的有效性。
