Linear-matrix-inequality-based stability analysis and performance design of fuzzy-model-based control systems

基于线性矩阵不等式的模糊模型控制系统的稳定性分析和性能设计

• 批准号: EP/E05627X/1
• 负责人: HK Lam
• 金额: $ 12.3万
• 依托单位: King's College London
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2008
• 资助国家: 英国
• 起止时间: 2008 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE05627X%2F1
• 关键词: Linear; matrix; inequality; based; stability

A fuzzy model-based control system comprises a nonlinear plant represented by a fuzzy model and a fuzzy controller connected in closed loop. Fuzzy-model-based control approaches offer systematic design and analysis methodologies to tackle general nonlinear systems with fuzzy controllers. In this investigation, we shall further work on the results obtained in our years of research, and tackle the problems of system stability and performance of sampled-data and time-delayed fuzzy model-based control systems. The investigation will focus on the following areas. 1) To derive stability conditions that guarantee the system stability of sampled-data and time-delayed fuzzy-model-based control systems with or without parameter uncertainties. 2) To formulate the design of the two fuzzy controllers subject to system stability and performance as a linear matrix inequality problem that can be solved numerically using some convex programming techniques. 3) To develop a software package based on the obtained analysis results to aid the design of the fuzzy controllers.

一种基于模糊模型的控制系统包括由模糊模型表示的非线性对象和连接在闭环中的模糊控制器。基于模糊模型的控制方法提供了系统的设计和分析方法，以解决一般的非线性系统的模糊控制器。在这项研究中，我们将进一步工作，在我们多年的研究成果，并解决系统的稳定性和性能的采样数据和时滞模糊模型为基础的控制系统的问题。调查将集中在以下几个方面。1)针对具有或不具有参数不确定性的基于采样数据和时滞模糊模型的控制系统，导出保证系统稳定性的条件。2)将两个模糊控制器的设计作为一个线性矩阵不等式问题，可以用一些凸规划技术数值求解，系统的稳定性和性能。3)根据所得的分析结果，开发一个软件包，以帮助设计的模糊控制器。

项目成果

Output-feedback sampled-data polynomial controller for nonlinear systems

• DOI: 10.1016/j.automatica.2011.08.009
• 发表时间: 2011-11
• 期刊: Autom.
• 作者: H. Lam

Stability analysis of polynomial fuzzy-model-based control systems under perfect/imperfect premise matching

完美/不完美前提匹配下多项式模糊模型控制系统的稳定性分析

• DOI: 10.1049/iet-cta.2010.0619
• 发表时间: 2011
• 期刊: IET Control Theory & Applications
• 影响因子: 2.6
• 作者: Lam H

Chaotic synchronisation using output/full state-feedback polynomial controller

使用输出/全状态反馈多项式控制器的混沌同步

• DOI: 10.1049/iet-cta.2009.0328
• 发表时间: 2010
• 期刊: IET Control Theory & Applications
• 影响因子: 2.6
• 作者: Lam H

Design of stable fuzzy controller for non-linear systems subject to imperfect premise matching based on grid-point approach

• DOI: 10.1049/iet-cta.2009.0307
• 发表时间: 2010-12
• 期刊: Iet Control Theory and Applications
• 影响因子: 2.6
• 作者: H. Lam