摘要
考虑具有时变时滞的Takagi-Sugeno模糊系统稳定性分析的问题。基于Lyapunov稳定性理论,定义一个新的Lyapunov-Krasovskii泛函,使用恰当的界定技术处理Lyapunov-Krasovskii泛函求导过程中产生的积分项,以线性矩阵不等式的形式给出一个决策变量少、运算效率高、保守性小的时滞相关稳定性准则;此外,在理论推导过程中避免了一些现有文献理论推导过程中出现的问题。最后通过给出的数例验证了该稳定性准则的有效性。
The problem of stability analysis for Takagi-Sugeno fuzzy systems with time-varying delay is considered in this paper. Based on Lyapunov stability theory, a new Lyapunov-Krasovskii functional is defined. An appropriate bounding technique is proposed for dealing with integral terms from the derivation of the Lyapunov-Krasovskii functional. A less conservative delay-dependent stability criterion with less decision variables and higher computing efficiency is given in form of linear matrix inequalities. Meanwhile, some mistakes from existing literatures are avoided. Finally, a numerical example is provided to show the effectiveness of the proposed stability criterion.
出处
《控制工程》
CSCD
北大核心
2015年第3期481-485,共5页
Control Engineering of China
基金
国家自然科学基金资助项目(61074187)
浙江省自然科学基金重点资助项目(Z13F030015)
