南通大学学报(自然科学版)
南通大學學報(自然科學版)
남통대학학보(자연과학판)
JOURNAL OF NANTONG UNIVERSITY (NATURAL SCIENCE)
2014年
2期
20-25
,共6页
刘锦梅%邢广霞%高岩波
劉錦梅%邢廣霞%高巖波
류금매%형엄하%고암파
二阶混沌系统%指数终端滑模控制%投影滞后同步
二階混沌繫統%指數終耑滑模控製%投影滯後同步
이계혼돈계통%지수종단활모공제%투영체후동보
second-order chaotic systems%exponential terminal sliding mode control%projective lag synchronization
研究了带有外部干扰变量和不确定项的二阶混沌系统的投影滞后同步问题。基于Lyapunov稳定性理论及指数型快速终端滑模策略的有限时间快速收敛性,提出一种新的滑模变结构控制,并设计相应的滑模曲面和控制律。所设计的控制器使误差系统状态变量能以较快的收敛速度在有限时间内进入指数终端滑模曲面并最终到达平衡点。数值仿真验证了该控制方法的有效性。
研究瞭帶有外部榦擾變量和不確定項的二階混沌繫統的投影滯後同步問題。基于Lyapunov穩定性理論及指數型快速終耑滑模策略的有限時間快速收斂性,提齣一種新的滑模變結構控製,併設計相應的滑模麯麵和控製律。所設計的控製器使誤差繫統狀態變量能以較快的收斂速度在有限時間內進入指數終耑滑模麯麵併最終到達平衡點。數值倣真驗證瞭該控製方法的有效性。
연구료대유외부간우변량화불학정항적이계혼돈계통적투영체후동보문제。기우Lyapunov은정성이론급지수형쾌속종단활모책략적유한시간쾌속수렴성,제출일충신적활모변결구공제,병설계상응적활모곡면화공제률。소설계적공제기사오차계통상태변량능이교쾌적수렴속도재유한시간내진입지수종단활모곡면병최종도체평형점。수치방진험증료해공제방법적유효성。
The problem of the projective lag synchronization for second-order chaotic systems with external distur-bances and uncertainty was discussed. Based on the Lyapunov stability theory and the finite-time fast convergence of exponential fast terminal sliding mode control strategy, a novel sliding mode variable structure control was proposed and the corresponding sliding surface and control law were designed. The designed controller can make the sate vari-ables of the error system reach the exponential sliding surface with a fast convergence rate in finite time and eventually arrive at the equilibrium point. A numerical simulation was performed to verify the effectiveness of this control method.