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一类不确定离散时间非线性系统保性能控制
  • ISSN号：1005-1090
  • 期刊名称：辽宁工业大学学报(自然科学版)
  • 时间：0
  • 页码：1473-1478
  • 语言：中文
  • 分类：TP13[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]辽宁工业大学信息科学与工程学院,辽宁锦州121001
  • 相关基金：国家自然科学基金项目（60674056）;辽宁省青年人才基金项目（2005219001）
  • 相关项目：非线性不确定系统的模糊自适应容错控制
作者： 佟绍成|王铁超|
关键词： T—S模型, 线性矩阵不等式, 并行分布补偿, 保性能控制, T-S model, linear matrix inequalities, parallel distributed compensation, guaranteed cost control
中文摘要：

针对状态不完全可测的一类不确定离散时间非线性系统，基于状态观测器研究其保性能控制问题。采用T—S模型对非线性系统进行建模，根据李雅普诺夫稳定性理论，基于线性矩阵不等式（LMI），利用分散化并行分布补偿（PDC）的方法设计了基于观测器的控制器，给出了实现该非线性系统保性能控制的充分条件。并通过数值仿真对提出的方法进行了验证，仿真结果表明了该方法的正确性。

英文摘要：

Against the guaranteed cost control problem of a discrete-time nonlinear system in the presence of parametric uncertainties, the problem on designing an guaranteed cost controller based on state observer was considered. The Takagi-Sugeno（T-S） fuzzy model was adopted for fuzzy modeling of the system. According to Lyapunov stability theory, the scheme of decentralized PDC（Parallel Distributed Compensation） fuzzy control was used to have designed controller via LMI method, and apart from the above, the sufficient condition that ensures guaranteed cost control of nonlinear system was derived. The conclusion was tested by numerical simulation, which illustrated the correctness of the conclusion.

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非线性不确定系统的模糊自适应容错控制
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