Output feedback stabilization of stochastic high-order planar nonlinear systems with stochastic inverse dynamics and output-constraint  

作　　者：Ruiming XIE Shengyuan XU 

机构地区：[1]School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China

出　　处：《Science China(Information Sciences)》2024年第3期178-192,共15页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.62221004,62073166)。

摘　　要：In this paper,we solve the output feedback control problem of stochastic high-order planar nonlinear systems with output constraint and stochastic integral input-to-state stability(SiISS)inverse dynamics.By employing a key coordinate transformation,a stochastic nonlinear system with output constraint and SiISS inverse dynamics is converted into an unconstrained system.By skillfully constructing an observer and adopting SiISS small-gain conditions,we develop a new output feedback control design and analysis method,and prove that all the closed-system signals are bounded almost surely,the output constraint is not violated almost surely,and the equilibrium point of the closed-loop system is stochastically asymptotically stable.

关 键 词：stochastic high-order planar nonlinear system output constraint stochastic inverse dynamics output feedback stabilization stochastic integral input-to-state stability(SiISS) 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]