离散T-S模糊系统的稳定条件  

Stability condition of discrete T-S fuzzy systems

作　　者：张松涛[1] 

机构地区：[1]哈尔滨商业大学管理学院,哈尔滨150028

出　　处：《控制与决策》2012年第8期1175-1179,共5页Control and Decision

基　　金：国家自然科学基金项目(71040001);教育部人文社会科学研究青年基金项目(11YJC630287);黑龙江省博士后科研启动项目(LBH-Q10060)

摘　　要：针对应用公共Lyapunov函数方法、模糊Lyapunov函数方法和分段模糊Lyapunov函数方法进行T-S模糊系统稳定性分析的保守性问题,通过定义有效最大交叠规则组,并基于离散型分段模糊Lyapunov函数,提出一个判定开环离散T-S模糊系统稳定性的充分条件.该条件仅需在每个有效最大交叠规则组内分别满足模糊Lyapunov方法中的条件,从而降低上述判定方法的保守性和难度.仿真实例验证了所提出条件的有效性和优越性.For the conservatism problem of stability analysis of T-S fuzzy systems with the common Lyapunov approach, the fuzzy Lyapunov approach and the piecewise fuzzy Lyapunov approach, this paper proposes a sufficient condition to check the stability of open-loop discrete T-S fuzzy systems based on the definition of the efficient maximal overlapped-rules group and the discrete piecewise fuzzy Lyapunov function. This condition only needs satisfying the condition of fuzzy Lyapunov approach in each efficient maximal overlapped-rule group. Therefore, the proposed condition is less conservative and difficult than former three approaches. A simulation example shows the effectiveness and advantage of the approach.

关 键 词：T-S模糊系统 稳定条件 分段模糊LYAPUNOV函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]