基于生物态势理论的Backstepping模糊控制  

Backstepping Fuzzy Control Method Based on Biological Situation Theory

作　　者：赵彤[1] 钱冰冰[1] 李医民[2] 

机构地区：[1]南通航运职业技术学院基础教学部,江苏南通226010 [2]江苏大学理学院,江苏镇江212013

出　　处：《数学的实践与认识》2017年第22期123-132,共10页Mathematics in Practice and Theory

基　　金：江苏省"青蓝工程"资助

摘　　要：针对一类单输入单输出非线性系统,提出了一种基于生物态势理论的backstepping模糊自适应控制方法.设计中,将系统误差及其导数作为模糊规则的前件,将反应生物特性的生态位态势理论函数作为模糊规则的后件,设计了基于生物态势理论的Backstepping模糊控制器.该控制器将生物个体对外界扰动的适应对策引入设计中,使得控制器的自适应律具有生物自适应特性.并利用Lyapunov方法证明了闭环系统的稳定性.仿真结果进一步验证了方法的有效性.Based on Biological situation theory,A backstepping fuzzy control method is proposed for the single-input/single-output（SISO） nonlinear systems.In this design,the system error and its derivative as the antecedent of fuzzy rules,the ecological niche theory as the reaction function of the biological properties of the fuzzy rule consequents,fuzzy controller is designed based on the theory of Backstepping biological situation.The controller introduces the adaptive strategies of biological individuals to external disturbances,so that the adaptive law of the controller is biologically adaptive.The stability of closed-loop system is proved by using Lyapunov method.The simulation results further illustrate the effectiveness of the method.

关 键 词：非线性系统 态势理论函数 自适应模糊控制 BACKSTEPPING设计 

分 类 号：O231[理学—运筹学与控制论]