电机与控制学报
電機與控製學報
전궤여공제학보
ECTRIC MACHINES AND CONTROL
2009年
z1期
139-143,148
,共6页
混沌系统%自适应控制%镇定%非线性反馈控制%错位同步
混沌繫統%自適應控製%鎮定%非線性反饋控製%錯位同步
혼돈계통%자괄응공제%진정%비선성반궤공제%착위동보
chaotic system%adaptive control%stabilization%nonlinear feedback control%mismatch synchronization
为了研究一个三维自治混沌系统的控制与同步问题,应用自适应控制方法研究混沌系统不稳定平衡点的镇定问题,得出了该系统关于平衡点渐近稳定的一个充分条件,并利用Lyapunov函数和LaSalle不变原理对结论给予了严格的证明.设计了一个较简单的控制器,采用非线性反馈控制方法研究了此混沌系统的错位同步问题,实现了响应系统和驱动系统之间的错位同步,并在Matlab上进行实例仿真.仿真结果表明自适应控制方法的快速有效性和错位同步的可实现性.
為瞭研究一箇三維自治混沌繫統的控製與同步問題,應用自適應控製方法研究混沌繫統不穩定平衡點的鎮定問題,得齣瞭該繫統關于平衡點漸近穩定的一箇充分條件,併利用Lyapunov函數和LaSalle不變原理對結論給予瞭嚴格的證明.設計瞭一箇較簡單的控製器,採用非線性反饋控製方法研究瞭此混沌繫統的錯位同步問題,實現瞭響應繫統和驅動繫統之間的錯位同步,併在Matlab上進行實例倣真.倣真結果錶明自適應控製方法的快速有效性和錯位同步的可實現性.
위료연구일개삼유자치혼돈계통적공제여동보문제,응용자괄응공제방법연구혼돈계통불은정평형점적진정문제,득출료해계통관우평형점점근은정적일개충분조건,병이용Lyapunov함수화LaSalle불변원리대결론급여료엄격적증명.설계료일개교간단적공제기,채용비선성반궤공제방법연구료차혼돈계통적착위동보문제,실현료향응계통화구동계통지간적착위동보,병재Matlab상진행실례방진.방진결과표명자괄응공제방법적쾌속유효성화착위동보적가실현성.
This paper deals with the control and synchronization of a new three-dimensional continuous quadratic autonomous chaotic system. First,by utilizing adaptive control approaches,the stabilization of unstable equilibrium points of the chaotic system was studied; a sufficient condition of the asymptotical sta-bleilization of equilibrium points was given; the strict proofs were presented in terms of Lyapunov functions and LaSalle invariant principle; then a simple controller was designed; the mismatch synchronization of this chaotic system was investigated by nonlinear feedback control method,and the mismatch synchronization between drive system and respond system was achieved. Several numerical simulations by Matlab were given to show the effectiveness of the proposed chaos adaptive control and mismatch synchronization methods.
