一类随机上三角非线性系统的全局渐近输出反馈镇定
Global Asymptotic Output-Feedback Stabilization for a Class of Stochastic Upper-Triangular Nonlinear Systems
研究了一类随机上三角非线性系统的输出反馈镇定问题. 通过使用齐次占优方法和构造可实现的齐次降阶观测器, 一个输出反馈控制器被设计出来使得闭环系统的平衡点在原点是依概率全局渐近稳定的, 并且输出可以被几乎处处调节到原点. 数值算例验证了所提方案的有效性.
This paper deals with the output-feedback stabilization problem for a class of stochastic upper-triangular nonlinear systems. By using the homogeneous domination approach and constructing an implementable homogeneous reduced-order observer, an output-feedback controller is designed to ensure that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability and the output can be regulated to the origin almost surely. A numerical example is given to demonstrate the effectiveness of the proposed scheme.
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