引用本文:韩京清.控制系统的鲁棒性与Gӧdel不完备定理*[J].控制理论与应用,1999,16(S1):149~155.[点击复制]
Han Jingqing.The Robustness of Control Systems and Gӧdel,s “Incompleteness Theorem”[J].Control Theory and Technology,1999,16(S1):149~155.[点击复制]
控制系统的鲁棒性与Gӧdel不完备定理*
The Robustness of Control Systems and Gӧdel,s “Incompleteness Theorem”
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DOI编号  
  1999,16(S1):149-155
中文关键词  鲁棒控制  控制器设计  非线性反馈
英文关键词  robust control  controller design  nonlinear feedback
基金项目  
作者单位
韩京清 中国科学院系统科学研究所 
中文摘要
      “鲁棒性”是Kalman体系中依靠(A,B,C)模型的理论与控制工程实际之间矛盾的产物.本文试图用G?del“不完备定理”来说明,解决“鲁棒性”问题必须摆脱(A,B,C)束缚和线性束缚.本文利用简单的非线性特性提出了独立于(A,B,C)的信号处理及控制的办法.为了适应新的控制系统:“设计理论”,需要对现行控制理论中有效概念予以重新考虑.本文尝试给出新的“适应性”、“鲁棒性”概念和系统描述方法.
英文摘要
      The robustness problem is a result of the conflict between the Kalman framework based on the (A,B,C)model and the modelless engineering practice.Therefore,following G?del,s “Incompleteness Theorem”,the true answer lies outside the restriction of the Kalman,s model and linear scope.Using a few simple nonlinear functions,this paper proposes a new synthesis approach for controller design and signal processing.The developed new algorithms are free of any(A,B,C)model.Furthermore,to suit these new synthesis principle,some existing concepts,such as adaptivity and robustness,as well as the system description are need endowed with new meanings.