| 不确定离散模糊随机系统的鲁棒方差约束输出反馈控制 |
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| 引用本文： | 李德权,孙长银,费树岷.不确定离散模糊随机系统的鲁棒方差约束输出反馈控制[J].模糊系统与数学,2004,18(2):100-107. |
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| 作者姓名： | 李德权 孙长银 费树岷 |
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| 作者单位： | 1. 安徽理工大学,数理系,安徽,淮南,232001;东南大学,自动化研究所,江苏,南京,210096
2. 东南大学,自动化研究所,江苏,南京,210096 |
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| 基金项目： | 国家自然科学重点基金资助项目(69934010)，安徽省教育厅青年教师科研资助项目(2004jq142) |
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| 摘 要： | 对一类具有范数有界不确定性的离散T-S模糊随机系统。研究不仅使整个闭环模糊系统全局渐近稳定。而且每个模糊子系统的稳态状态方差满足给定上界性能指标约束的输出反馈鲁棒方差控制律的设计问题。利用线性矩阵不等式(LMI)技术，导出输出反馈鲁棒方差控制律的存在条件，并基于矩阵相似变换给出其可解性条件，同时用一组线性矩阵不等式的可行解。给出输出反馈鲁棒方差控制律的一个参数化表达形式。
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| 关 键 词： | 方差约束 模糊控制 输出反馈 线性矩阵不等式 |
| 文章编号： | 1001-7402(2004)02-0100-08 |
| 修稿时间： | 2002年11月4日 |
Robust Variance-Constrained Output Feedback Control for Discrete Fuzzy Stochastic System with Uncertainty |
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| LI De-quan.Robust Variance-Constrained Output Feedback Control for Discrete Fuzzy Stochastic System with Uncertainty[J].Fuzzy Systems and Mathematics,2004,18(2):100-107. |
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| Authors: | LI De-quan |
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| Institution: | LI De-quan~ |
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| Abstract: | This paper is concerned with the analysis and synthesis problem of robust variance-(constrained) fuzzy output controllers for nonlinear discrete stochastic systems in the presence of (parametric) uncertainties, which can guarantee the stability of overall closed-loop fuzzy system and the steady-state variances of all subsystems to be less than a given upper bound. Conditions for the (stability) of overall closed-loop fuzzy system and the existence of such controllers are derived and shown to be equivalent to the solvability of a certain linear matrix inequality(LMI) system by using matrix (similarity) transformation. Furthermore, a parameterized representation of a set of desired of (controllers) is characterized in terms of the feasible solutions to the LMIs. |
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| Keywords: | Variance-Constrained Control Fuzzy Control Output Feedback Linear Matrix Inequality(LMI) |
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