具有松弛条件的一类切换模糊系统的稳定性分析  

Stability analysis of a class of switched fuzzy systems having slack conditions

作　　者：杨红[1] 赵军[1] 

机构地区：[1]东北大学信息科学与工程学院

出　　处：《控制与决策》2007年第1期35-38,44,共5页Control and Decision

基　　金：国家自然科学基金项目(60574013;60274009)

摘　　要：使用切换技术以及多Lyapunov函数方法,研究一类切换模糊系统的稳定性问题.给出了有连续控制输入时该切换模糊系统的一种松弛稳定性条件,避免了并行分配补偿法中因模糊规则数较多而求解公共矩阵P的困难,同时给出了实现系统全局渐近稳定的切换策略.主要条件以LMI的形式给出,具有较强的可解性.空气调节系统的设计实例表明了所提出设计方法的可行性和有效性.The stability problem of a class of switched fuzzy systems is studied using switching technique and multiple Lyapunov functions. Slack stabilizability conditions and a switching strategy achieving global asymptotic stability of the switched fuzzy system with continuous controlled input are developed. The proposed method overcomes the difficulty of solving a common matrix P by parallel distributed compensation （PDC） with a large number of fuzzy rules. The main condition is given in form of LMI which are more solvable. The design of air regulating system shows the feasibility and the effeetiveness of the proposed method.

关 键 词：切换模糊系统 全局模型 多LYAPUNOV函数 切换律 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]