State feedback stabilization for high-order stochastic nonlinear systems with zero dynamics
Jie TIAN
Xuejun XIE
Chenghui ZHANG
摘要：In this paper, for a class of high-order stochastic nonlinear systems with zero dynamics which are neither necessarily feedback linearizable nor affine in the control input, the problem of state feedback stabilization is investigated for the first time. Under some weaker assumptions, a smooth state feedback controller is designed, which ensures that the closed-loop system has an almost surely unique solution on [0, oo), the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability, and all the states can be regulated to the origin almost surely. A simulation example demonstrates the control scheme.
机标关键词：zero dynamicsstochastic nonlinear systemsglobally asymptotically stablestate feedback controllerfeedback stabilizationcontrol scheme
分类号：TP13(自动化基础理论)TP18(自动化基础理论)
资助基金：高校新世纪杰出人才项目(NCET-05-0607)国家自然科学基金(60774010)Project for Fundamental Research of Natural Sciences in Universities of Jingsu Province(07KJB510114)
论文发表日期：2008-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：6( 74-79 )
英文信息