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非线性随机大系统分散控制的有界稳定性分析
引用本文:武赛,邓飞其,向少华.非线性随机大系统分散控制的有界稳定性分析[J].黑龙江大学自然科学学报,2007,24(1):110-115.
作者姓名:武赛  邓飞其  向少华
作者单位:华南理工大学,自动化科学与工程学院,广东,广州,510640
基金项目:国家自然科学基金 , 广东省自然科学基金
摘    要:研究了具有严反馈形式含有有界不确定性的非线性随机大系统,其中与未知状态相关的关联项满足线性增长约束,设计了相应的含有关联项的状态观测器,设计的分散自适应控制器使得闭环,互联的非线性随机大系统实现了概率意义下的全局稳定,基于Lyapunov的递推设计方法解决了通过输出反馈达到的分散全局镇定问题.

关 键 词:随机大系统  输出反馈  分散控制  自适应控制  概率意义下的有界稳定性
文章编号:1001-7011(2007)01-0110-06
修稿时间:2006年1月6日

Bounded stability analysis for decentralized control of large- scale stochastic nonlinear systems
WU Sai,DENG Fei-qi,XIANG Shao-hua.Bounded stability analysis for decentralized control of large- scale stochastic nonlinear systems[J].Journal of Natural Science of Heilongjiang University,2007,24(1):110-115.
Authors:WU Sai  DENG Fei-qi  XIANG Shao-hua
Abstract:Large-scale stochastic nonlinear systems with bounded uncertainties in strict-feedback form are considered. The interconnections related to unmeasured states satisfy linear increase restriction. The corresponding observer is designed including interconnections. Then, the observer based decentralized adaptive controllers are presented, which can render the closed-loop, large-scale, interconnected stochastic nonlinear system with bounded uncertainties globally stable in probability. It is shown that the decentralized global stabilization via output feedback can be solved by a Lyapunov-based recursive design method.
Keywords:large-scale stochastic systems  output feedback  decentralized control  adaptive control  bounded stability in probability
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