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基于分段模糊Lyapunov方法的离散模糊控制系统设计
引用本文:张松涛,任光.基于分段模糊Lyapunov方法的离散模糊控制系统设计[J].系统仿真学报,2007,19(2):352-354,420.
作者姓名:张松涛  任光
作者单位:大连海事大学轮机工程学院,大连,116026
基金项目:高等学校博士学科点专项科研项目;交通部交通应用基础研究基金
摘    要:针对应用公共Lyapunov函数方法和模糊Lyapunov函数方法判定离散T-S模糊控制系统稳定性存在的保守性和难度,在定义离散型分段模糊Lyapunov函数的基础上,应用并行分布补偿方法(PDC)设计出使模糊系统全局渐近稳定的拉制器,并提出和证明了一个新的判定用环离散T-S模糊系统稳定的充分条件,该条件降低了上述方法的保守性和难度。通过一个仿真例子验证了方法的有效性。

关 键 词:模糊控制器  T-S模糊系统  分段模糊Lyapunov函数  系统仿真
文章编号:1004-731X(2007)02-0352-03
收稿时间:2005-10-17
修稿时间:2005-10-172005-12-30

Design of Discrete Fuzzy Control System Based on Piecewise Fuzzy Lyapunov Approach
ZHANG Song-tao,REN Guang.Design of Discrete Fuzzy Control System Based on Piecewise Fuzzy Lyapunov Approach[J].Journal of System Simulation,2007,19(2):352-354,420.
Authors:ZHANG Song-tao  REN Guang
Institution:Marine Engineedng College, Dalian Maritime University, Dalian 116026, China
Abstract:For the conservatism and difficulty of checking the stability of discrete T-S fuzzy control system with the common Lyapunov function approach and the fuzzy Lyapunov function approach, a fuzzy controller was designed to acquire globally asymptotical stability for discrete fuzzy system with the method of parallel distributed compensation (PDC) after the definition of a piecewise fuzzy Lyapunov function. Then a new sufficient condition to check the stability of closed-loop discrete T-S fuzzy system was proposed and proved. This condition is less conservative and difficult than above approaches. At last, a simulation example shows that the approach is effective.
Keywords:fuzzy controller  T-S fuzzy system  piecewise fuzzy Lyapunov function  system simulation
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