基于分段模糊Lyapunov方法的离散模糊控制系统设计  

Design of Discrete Fuzzy Control System Based on Piecewise Fuzzy Lyapunov Approach

作　　者：张松涛[1] 任光[1] 

机构地区：[1]大连海事大学轮机工程学院,大连116026

出　　处：《系统仿真学报》2007年第2期352-354,420,共4页Journal of System Simulation

基　　金：高等学校博士学科点专项科研基金项目(20030151005);交通部交通应用基础研究基金项目(200332922505)。

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控制器,并提出和证明了一个新的判定闭环离散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。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.

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 

分 类 号：U664.7[交通运输工程—船舶及航道工程] TP273.4[交通运输工程—船舶与海洋工程]