引用本文:赵明旺.同时镇定问题的一个数值解法*[J].控制理论与应用,1997,14(3):421~425.[点击复制]
ZHAO Mingwang.A Numerical Algorithm for Simultaneous Stabilization Problem[J].Control Theory and Technology,1997,14(3):421~425.[点击复制]
同时镇定问题的一个数值解法*
A Numerical Algorithm for Simultaneous Stabilization Problem
摘要点击 940  全文点击 434  投稿时间:1995-06-07  修订日期:1996-03-19
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DOI编号  
  1997,14(3):421-425
中文关键词  同时镇定  鲁棒控制  不等式  多项式稳定性  数值算法
英文关键词  simultaneous stabilization  robust control  inequalities  polynomial stability  numeric algorithm
基金项目  
作者单位
赵明旺 武汉冶金科技大学自动化系 
中文摘要
      本文运用多项式稳定性充分判据,将不同阶次线性系统的同时镇定问题化成非线性不等式组的求解,然后提出求解不等式组的拟牛顿下山数值法,并应用于同时镇定问题中,算例表明该方法的有效性.
英文摘要
      In this paper,the simultaneous stabilization problem for linear systems with different orders is transformed as a solving problem of nonlinear inequalities,by using a sufficient criterion of polynomial stability. Then a quasi-Newton numeric algorithm for solving inequalities is presented firstly,and is applied to solving the simultaneous simulation problem. Two examples show the effectiveness of the method.