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一类随机大系统的自适应有界镇定
引用本文:武赛,邓飞其. 一类随机大系统的自适应有界镇定[J]. 华南理工大学学报(自然科学版), 2007, 35(1): 7-12
作者姓名:武赛  邓飞其
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;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:国家自然科学基金资助项目(60374023),广东省自然科学基金资助项目(011629)
摘    要:研究了一类具有严反馈形式、含有有界不确定参数的非线性随机大系统的镇定问题,在充分考虑各子系统之间互联项影响的基础上,设计了这类组合系统的状态观测器,再运用反步法技术,通过构造四次型随机控制Lyapunov函数,设计出一种自适应输出反馈分散控制器.在此控制器作用下,所考虑的闭环、互联非线性随机大系统实现了概率意义下的有界稳定.仿真结果表明了该控制算法的有效性.

关 键 词:非线性随机大系统  自适应控制  分散控制  有界稳定
文章编号:1000-565X(2007)01-0007-06
修稿时间:2005-11-28

Bounded Adaptive Stabilization for a Class of Large-Scale Stochastic System
Wu Sai,Deng Fei-qi. Bounded Adaptive Stabilization for a Class of Large-Scale Stochastic System[J]. Journal of South China University of Technology(Natural Science Edition), 2007, 35(1): 7-12
Authors:Wu Sai  Deng Fei-qi
Affiliation:School of Automation Science and Engineering, South China Univ. of Tech. , Guangzhou 510640, Guangdong, China
Abstract:The stabilization problem of a class of large-scale stochastic nonlinear system with bounded uncertainties in strict-feedback form is investigated.By fully considering the effects of interconnections among all subsystems,a state observer for such a kind of combined system is designed.Then,a decentralized adaptive output feedback controller is designed by means of the backstepping approach and by constructing quartic stochastic control Lyapunov functions.So,the closed-loop,interconnected and large-scale stochastic nonlinear system is boundedly stable in probability.Simulated results verify the effectiveness of the proposed control algorithm.
Keywords:large-scale stochastic nonlinear system  adaptive control  decentralized control  bounded stabilization
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